Mechanical Engineering 538 Mechanical Engineering Mechanical Engineering The Department of Mechanical

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					538 / Mechanical Engineering

Mechanical Engineering
The Department of Mechanical Engineering offers              flow through porous media and
undergraduate and graduate programs of instruc-              environmental sciences, nonlinear dynamics
tion and research. Undergraduate programs are                and applied mathematics, large scale
offered in Mechanical Engineering and in Engineer-           computing and parallel algorithm, multiscale
ing Mechanics. Both programs are accredited by               phenomena and computational methods.
ABET, the Accreditation Board for Engineering and          Gregory S. Chirikjian, Professor: computational
Technology. Graduate programs are offered lead-              structural biology (in particular, computational
ing to the M.S.E. and the Ph.D. degrees. A five-year         mechanics of large proteins), conformational
accelerated B.S./M.S.E. program is also available.           statistics of biological macromolecules,
   Mechanical Engineering is of great importance             developed theory for ‘hyper- redundant’
in most contemporary technologies. Examples                  (snakelike) robot motion planning, fesigns and
include aerospace, power generation and conver-              builds hyper-redundant robotic manipulator
sion, fluid machinery, design and construction of            arms, applied mathematics (applications of
mechanical systems, transportation, manufactur-              group theory in engineering), self-replicating
ing, production, biomechanics, and others. This              robotic systems.
wide range of applications is reflected in the three       Noah J. Cowan, Assistant Professor: robotics,
main stems of the undergraduate curriculum-                  computer vision and control, mobile robotics
thermal and fluid systems, mechanics and materi-             and legged locomotion, biomechanics and
als, and robotics and control systems. Engineering           bio-inspired robotics.
Mechanics is a more flexible program that enables          Andrew S. Douglas, Professor (Vice Dean for
students to pursue particular interests while cen-           Academic Affairs, Whiting School of
tering around a smaller core of courses. Students            Engineering): dynamic fracture of ductile
may use this flexibility to follow specific interests in     materials, mechanics of active materials,
physics, mathematics, economics, etc., while receiv-         mechanics of soft tissue.
ing an engineering degree.                                 Kevin J. Hemker, Professor (Chair): Research
   Design is a major component of both undergrad-            aimed at identifying the microstructural
uate programs. In the two-semester Engineering               details that govern the macroscopic
Design Project course taken by undergraduates dur-           mechanical response of metals, alloys and
ing their senior year, students work in teams of three       advanced structural materials. Traditional
or four to design, construct, and test a mechanical          interests include: high temperature
device or system for an industrial sponsor.                  mechanical behavior, transmission electron
                                                             microscopy, deformation behavior of
   A major effort of the department is directed
                                                             intermetallic alloys, experimental
toward the creation of a stimulating intellectual
                                                             characterization of dislocation core structure,
environment in which both undergraduate and
                                                             and microsample testing. Relatively new
graduate students can develop to their maximum
                                                             research topics include the characterization
potentials. Faculty members encourage undergrad-
                                                             and modeling of bond coat layers for thermal
uate students to participate in both fundamental
                                                             barrier coatings, deformation behavior of
and applied research along with the graduate stu-
                                                             nanocrystalline materials, and characterization
dents. In most junior and senior undergraduate
                                                             of materials for MEMS applications.
classes, and in graduate classes, small enrollments
                                                           Cila Herman, Professor: experimental heat
permit close contact with faculty members. Stu-
                                                             transfer and fluid mechanics, optical
dents have excellent opportunities to participate
                                                             measurement techniques, image processing.
actively in the classroom and laboratories and to
                                                             Thermoacoustic refrigeration, influence of
follow special interests within a subject area.
                                                             electric fields on boiling in terrestrial
                                                             conditions and microgravity, heat exchangers,
The Faculty                                                  heat transfer in boiling, optical tomography,
Shiyi Chen, Professor: statistical theory and                holographic interferometry, cooling of
  computation of fluid turbulence, mesoscopic                electronic equipment, digital image
  physics and lattice boltzmann computational                processing, heat transfer augmentation.
  methods, molecular dynamics and granular                 Joseph M. Katz, Professor, Whiting School
  flows, computational fluid dynamics and                    Mechanical Engineering Chaired Professor:
  numerical analysis, micro- and nano-fluidics,              cavitation phenomena, attached partial
                                                                        Mechanical Engineering / 539

 cavitation, cavitation in turbulent shear flows,       robotic fingers and hands; tactile sensing,
 jets and wakes. Multiphase flows: Interaction          medical robotics and surgical assistance,
 between bubbles and flow structure, mixing             education and learning using haptics.
 mechanisms and droplet formation in water-           Andrea Prosperetti, Professor, Charles A. Miller Jr.
 fuel stratified shear flows, transport of              Chair in Mechanical Engineering: theoretical
 microscopic particles and droplets in turbulent        and computational fluid mechanics and
 flows. Development of optical flow diagnostics         acoustics; multiphase flow; gas and vapor bubble
 techniques, including Particle Image                   acoustics; microfluidic systems.
 Velocimetry (PIV) and Holographic Particle           K. T. Ramesh, Professor: Director of Center for
 Image Velocimetry (HPIV). Applications of PIV          Advanced Metallic and Ceramic Systems: Effects
 and HPIV for measuring the characteristics of          of mechanical stimuli on cell function and
 turbulence and addressing turbulence                   proliferative capacity, nanomaterials,
 modeling issues. Complex flow structure and            nanoscale phenomena, dynamic failure
 turbulence within turbomachines: Wake-wake             mechanisms, shock, impact, and wave
 and blade-wake interactions in multistage axial        propagation, high-strain-rate behavior of
 turbomachines, flow and rotating stall in              materials, bulk metallic glasses, biomimetics,
 centrifugal pumps, development of optical              active materials.
 diagnostics techniques for measurements in           William N. Sharpe Jr., Professor, Alonzo Decker
 turbomachines. Oceanography: Flow structure            Chair in Mechanical Engineering: experimental
 and turbulence in the bottom boundary layer            solid mechanics; microelectromechanical
 of the coastal ocean; measurement of spatial           systems (MEMS), microsample testing.
 distributions of plankton, particles and bubbles
                                                      Lester K. Su, Assistant Professor: experimental fluid
 in the ocean; development of optical
                                                        mechanics, turbulent mixing and combustion,
 instrumentation, including submersible
                                                        combustion systems, laser diagnostics, interaction
 holography and PIV systems. Prevention of
                                                        of experiments and simulations, spray and
 nozzle wear in abrasive water suspension jets
                                                        droplet dynamics.
 (AWSJ) using porous lubricated nozzles. Flow-
                                                      Sean Sun, Associate Professor: biomechanics and
 induced vibrations and noise, mechanisms of
 noise generation in turbulent separated flows          biophysics, molecular motors, proteins and
 and in turbomachines.                                  membranes, cell motility, statistical mechanics.
                                                      Jeff Tza-Huei Wang, Associate Professor: bioMEMS
Omar M. Knio, Professor: computational fluid
                                                        and microfluidics, single molecule
 mechanics, turbulent flow, chemically-reacting
                                                        manipulation and detection, nano/micro
 flow, energetic materials, oceanic and
                                                        scale fabrication, conformational dynamics of
 atmospheric flows, dynamical systems, physical
 acoustics, microfluidic devices, numerical
 methods, asymptotic and stochastic techniques.       Louis L. Whitcomb, Professor: Dynamics and
                                                        control of nonlinear systems, nonlinear
Charles Meneveau, Professor, Louis M. Sardella
                                                        control, adaptive identification and control,
  Chair in Mechanical Engineering: theoretical,
                                                        force control, robotics, medical robotics,
  experimental, and numerical studies in
                                                        underwater robot vehicles, industrial robotics,
  turbulence, large-eddy-simulation and
                                                        advanced electro-mechanical design, sensor
  turbulence modeling, fractals and scaling in
                                                        and actuator design.
  complex systems, applications of LES to
  environmental flows and turbomachinery flows.       Joint, Part-Time, and Research Appointments
Thao (Vicky) Nguyen, Assistant Professor:
                                                      Mehran Armand, Associate Research Professor
  biomechanics: mechanical behavior, growth and
                                                       (Applied Physics Laboratory).
  remodeling of fibrous soft tissues. Constitutive
  Modeling: thermomechanics, viscoelasticity,         Juan I. Arvelo Jr., Assistant Research Professor
  viscoplasticity of shape memory polymers and           (Applied Physics Laboratory).
  polymer composites. Fracture Mechanics:             Stephen Belkoff, Associate Professor (Orthopedic
  fracture and failure of rate dependent materials.      Surgery): biomechanics or orthopaedic implant,
Allison M. Okamura, Associate Professor: virtual         fracture fixation in osteoporotic bone,
  and teleoperated environments: Haptic                  mechanism of injury, vertebroplasty.
  feedback in virtual environments, prosthetics,      Alan Brandt, Research Scientist, (Applied Physics
  rehabilitation robotics, human-machine                 Laboratory).
  collaborative systems, reality-based modeling,      Ilene Busch-Vishniac, Research Professor
540 / Mechanical Engineering

Robert C. Cammarata, Professor (Materials Science         and biophysics, molecular motors, mathematical
   and Engineering): structure, properties, and           and computational modeling.
   processing of thin films and nanostructured          Kathleen Stebe, Adjunct Professor (University of
   materials, thermodynamics and mechanics of             Pennsylvania): transport phenomena at
   surfaces, mechanical behavior of materials,            interfaces, Marangoni effects, dynamic surface
   nonoindentation testing, stresses in thin films,       tension, fluid particle behavior, adsorption of
   novel electrochemical deposition methods,              surfactants and proteins, electroporation, vesicle
   computer simulations.                                  mechanics.
Andrew F. Conn, Senior Lecturer (Conn                   Daniel Stoianovici, Associate Professor (Brady
   Consulting, Inc.): mechanical engineering              Urological Institute): medical robotics.
   design.                                              Pazhayannur Swaminathan, Research Professor
Thomas Dragone, Adjunct Associate Professor:              (Applied Physics Laboratory).
   aerospace structures and materials, airframe         Russell H. Taylor, Professor (Computer Science):
   structure design and development, materials            medical robotics, computer-assisted surgery.
   science.                                             Natish V. Thakor, Professor (Biomedical
Ryan Eustice, Adjunct Assistant Professor                 Engineering): medical instrumentation and
   (Department of Naval Architecture and Marine           medical micro and nanotechnologies,
   Engineering, University of Michigan).                  neurological instrumentation, signal processing,
Gregory L. Eyink, Professor (Department of                computer applications .
   Applied Mathematics and Statistics):                 David Van Wie, Research Professor, (Applied
   mathematical physics, fluid mechanics,                 Physics Laboratory).
   turbulence, dynamical systems, partial               Rene Vidal, Assistant Professor (Biomedical
   differential equations, nonequilibrium statistical     Engineering): computer vision (human motion,
   physics, geophysics and climate.                       dynamic scene reconstruction, multiple view
Gabor Fichtinger, Adjunct Associate Professor,            geometry, omnidirectional vision), machine
   Computer Science and Radiology; Director of            learning (generalized component analysis and
   CISST                                                  geometric clustering), robotics (vision-based
Edwin Fitzgerald, Doctor of the University.               control), control (identification of hybrid
Lori Graham-Brady, Associate Professor, Civil             systems).
   Engineering                                          Liming Voo, Associate Research Professor (Applied
Jose Guzman, Lecturer                                     Physics Laboratory).
Gregory D. Hager, Professor (Computer Science):         Timothy Weihs, Associate Professor (Materials
   vision, robotics, human-machine systems,               Science and Engineering): self-propagating
   computer-assisted surgery.                             exothermic reaction and joining with reactive
Tihomir Hristov, Associate Research Scientist             multilayer foils, processing and characterization
Hyung-Suk Kang, Associate Research Scientist              of thin films, layered materials, and thin film
James Lee, Adjunct Professor                              reactions, mechanical testing of metals and
Edwin Malkiel, Adjunct Associate Research Scientist       biological materials.
Jean-Francois Molinari, Associate Research              Dennis Wickenden, Research Professor (Applied
   Professor                                              Physics Laboratory).
Daniel Naiman, Professor, Applied Mathematics           Thomas Wright, Adjunct Research Professor:
   and Statistics: statistics, computational              theoretical solid mechanics, wave propagation,
   probability, bioinformatics.                           dynamic failure, adiabatic shear localization,
Mark Robbins, Professor (Physics and Astronomy):          instabilities.
   nanomechanics, molecular origins of                  Shujia Zhou, Associate Adjunct Professor.
   macroscopic mechanical behavior, especially
   friction, adhesion, and yield.                       Facilities
Jack C. Roberts, Research Professor (Applied            Most teaching and research facilities of the depart-
   Physics Laboratory): advanced composite              ment, as well as the departmental office, are located
   materials.                                           either in Latrobe, Krieger, Wyman, or Maryland
Neil Rothman, Lecturer                                  Halls, as well as the Computer Science and Engi-
Jian Sheng, Adjunct Assistant Professor (University     neering building. The undergraduate laboratories
   of Kentucky)                                         are equipped with sophisticated data acquisition
Alexander Spector, Research Professor, Biomedical       and analysis systems. A V-6 automobile engine with
   Engineering: biosolid mechanics, cell mechanics      dynamometer and a computer-controlled milling
                                                                            Mechanical Engineering / 541

machine are examples of facilities used for under-        Financial Aid
graduate instruction. The mechatronics labora-            Scholarships and other forms of financial assis-
tory allows students to design and build their own        tance for undergraduates are described under
robots for a class competition. A separate laboratory     Admissions and Finances (see page 24). In addi-
is used by the seniors to construct and test their        tion, selected undergraduates may be employed as
prototypes in the yearlong design project course.         laboratory assistants on research projects.
Computer facilities are readily available to under-          Assistance in various forms is available for
graduates throughout the department and the               graduate students, including tuition fellowships,
Whiting School.                                           fellowships with stipend, research assistantships,
    Research facilities include laboratories in several   and supplementary teaching assistantships. Appli-
disciplines. The Laboratory for Impact Dynamics           cations for graduate study must be received by
and Rheology includes facilities for the study of         December 15 for consideration.
failure, instabilities, impact and dynamic phenom-           Research assistantships are available to support
ena. The Laboratory for Active Materials and Bio-         graduate students who work with professors on
mimetics contains facilities for the characterization     their research contracts and grants.
of tissues, active materials and biomaterials. These,
coupled with electron microscopy facilities, enable
                                                          Undergraduate Programs
innovative research on the mechanical properties
of materials.                                             The Department of Mechanical Engineering offers
                                                          two undergraduate programs: the bachelor of sci-
    The Microspecimen Testing Laboratory has spe-
                                                          ence in mechanical engineering and the bachelor of
cial tensile test machines for specimens as thin as
                                                          science in engineering mechanics. Both programs
60 nanometers. The Computational Solid Mechan-
                                                          are accredited by ABET, the Accreditation Board
ics Laboratory uses state-of-the-art finite-element
                                                          for Engineering and Technology. The department
techniques to study the physics of impact, wear, and
                                                          offers concentrations in biomechanical engineer-
more generally, the behavior of materials under
                                                          ing and aerospace engineering. For additional
high deformation and high-deformation rates. The
                                                          information regarding both the mechanical engi-
calculations are conducted at length scales ranging
                                                          neering and engineering mechanics programs,
from the microscale up to the macroscale.
                                                          including updated scheduling and course offer-
    A large hydrodynamics laboratory is the home          ings, please consult the undergraduate advising
of several laser-based flow visualization setups, and     manuals which are available from the department
the Corrsin wind tunnel is equipped with modern           office in Latrobe Hall and on the departmental
instrumentation for turbulence research. The heat         Web site at For details and an
transfer laboratory is equipped for research using        explanation of ABET requirements, see their Web
holographic interferometry to study heat transfer         site at
in complex geometries with single- and two-phase
flows.                                                    Requirements for the Bachelor’s Degree
    The Laboratory for Computational Sensing and          See also General Requirements for Departmental
Research consists of numerous laboratories and            Majors, page 48; Writing Requirement, page 44;
collaborating research centers covering multiple          and the department’s undergraduate advising
domains. The robotics and mechatronics laboratory         manuals.
is fully equipped for the construction and testing of
prototypes of novel robotic systems. The Dynami-          The Mechanical Engineering Program
cal Systems and Control laboratory is equipped for        The mission of the B.S. in mechanical engineer-
design, fabrication, and testing of advanced robotic      ing degree program is to provide a rigorous edu-
arms and underwater robots. Experimental equip-           cational experience that prepares a select group of
ment includes a test-bed remotely operated under-         students for leadership positions in the profession
water vehicle. The Haptic Exploration laboratory is       and a lifetime of learning. The faculty is committed
equipped with teleoperated robots, robotic manipu-        to maintaining a modern and flexible curriculum
lators, and haptic (force and tactile feedback) devices   which, building on a foundation of basic sciences
for research in the areas of medical robotics, virtual    and mathematics, develops a solid education in the
environments, rehabilitation, and prosthetics. The        mechanical engineering sciences. The aim of the
Locomotion in Mechanical and Biological Systems           Mechanical Engineering program is to build com-
(LIMBS) laboratory is equipped with an industrial         petence in the design and development of ther-
six-axis manipulator, and as well as the facilities for   mal, fluid, and mechanical systems, to promote a
the development of mobile and medical robots.             broad knowledge of the contemporary social and
542 / Mechanical Engineering

economic context, and to develop the communica-          •	 Use	 basic	 concepts	 from	 the	 mechanical	 engi-
tion skills necessary to excel.                             neering sciences, modern engineering tools
   The program provides a basic background in ther-         (machine-tools, laboratory instrumentation, and
mal and mechanical systems. Laboratory instruc-             computer hardware and software), and related
tion, as well as the senior design project, gives the       subjects to design mechanical engineering com-
student hands-on experience. Each student’s pro-            ponents and processes, taking into account con-
gram of study is planned in consultation with his           straints such as manufacturability, cost, safety,
or her faculty adviser. Students are encouraged to          environmental and socio-political impacts,
develop depth in one or two areas of concentration       •	 Enter	 professional	 practice	 and/or	 graduate	
within mechanical engineering chosen from fluid             school, with the recognition of the need for life-
mechanics, mechanics of solids and design, heat             long learning and the ability to pursue it,
transfer and energy, and robotics. The choice of         •	 Use	effective	communication,	multidisciplinary	
concentration is decided in the junior year after           teamwork, and possess awareness of professional
consultation with the student’s faculty adviser.            and ethical responsibilities, and an appreciation
   The objectives for the B.S. in mechanical engi-          of the societal, economic, and environmental
neering degree program are designed to provide a            impacts of engineering.
high-quality educational experience that is tailored
to the needs and interests of the student. The pro-      The Mechanical Engineering curriculum is
gram will educate a select group of engineers who,       structured as follows:
after graduation, will be successful and on track to
                                                         Mathematics (19 credits; grades of D or D+
become leaders among their peers as (1) engineers        not accepted)
in industry, government laboratories and other
                                                           110.108 Calculus I
organizations, or (2) advanced students in the best
graduate programs. In these endeavors, they will:          110.109 Calculus II
                                                           110.202 Calculus III (or 110.211 Honors
•	 Apply	and	cultivate	their	understanding	and	mas-
                                                                Multivariable Calculus and Linear
   tery of the fundamental scientific, engineering,
                                                                Algebra or 110.201 Linear Algebra [Fall
   and professional principles at the foundation of
   mechanical engineering.
                                                           550.291 Linear Algebra/Differential Equations
•	 Apply	 advanced	 mathematical,	 computational	
                                                                (or 110.212 Honors Multivariable Calculus
   and experimental techniques to respond to
                                                                and Linear Algebra or 110.302 Differential
   demands of advanced technology, economy, and
                                                                Equations [Spring Semester])
   efficiency that put an ever-increasing premium
   on the quantitative aspects of engineering.             Statistics Elective at the 300-level or above (e.g.
                                                                560.435 Probability and Statistics in Civil
•	 Contribute	to	society	as	broadly	educated,	articu-           Engineering or 550.310 Probability and
   late, and ethical citizens, who are at ease in mul-          Statistics)
   tidisciplinary teams.
•	 Strive	 to	 continually	 update	 and	 renew	 their	   Science (12 credits; grades of D or D+ not
   knowledge throughout their careers, to excel in       accepted)
   a rapidly changing world.                               530.103/104 Introduction to Mechanics I/II
Students graduating from the B.S. in mechanical            171.102 Physics II
engineering will have demonstrated the ability to          173.112 Physics Lab II
•	 Understand	and	apply	the	fundamentals	of	math-          510.101 Introduction to Materials Chemistry
   ematics (through linear algebra and multivariate            or 030.101 Chemistry I
   calculus), numerical methods, statistical analysis
                                                         Humanities (21 credits)
   and physical sciences (physics and chemistry)
                                                         Seven humanities and/or social science electives
   necessary to attain competence in the mechani-
                                                         (designated H or S in this catalog); of which one
   cal engineering disciplines,
                                                         must specifically teach writing (either 060.113
•	 Design,	 conduct,	 evaluate	 and	 report	 experi-     Expository Writing, 220.105 Introduction to Fic-
   ments including analysis and statistical interpre-    tion and Poetry Writing, or another course as
   tation of data,                                       approved by the student’s adviser) and one must
•	 Identify,	formulate	and	solve	engineering	prob-       be in economics. To obtain coherence and depth
   lems in the areas of thermo-fluid and mechanical      in these humanities and social science electives, at
   systems,                                              least six credits must be at the 300-level or higher.
                                                                           Mechanical Engineering / 543

For examples of areas of concentration and more          approved by a faculty member in the department
details, see the academic advising manual and the        who is selected as the student’s adviser.
website at
                                                         Aerospace Engineering Concentration
Required Engineering Courses (48 credits;                A student may specialize in aerospace engineer-
grades of D or D+ not accepted)                          ing once a solid background in the fundamentals
  530.101/102 Freshman Experiences in                    of mechanical engineering has been developed
      Mechanical Engineering I/II                        through the basic ME courses. This concentration
  530.105/106 Mechanical Engineering                     requires knowledge and background in several
      Freshman Laboratory I/II                           fields including advanced dynamics, flight mechan-
  530.201 Statics and Mechanics of Materials             ics, propulsion, aerospace materials and structures,
  530.202 Dynamics                                       signal processing, control systems, astrophysics and
                                                         space systems. Students pursuing the Aerospace
  530.215 Mechanics-Based Design
                                                         Engineering Concentration are required to take
  530.231 Mechanical Engineering
                                                         at least five of the following courses (which can
                                                         be counted toward the Mechanical Engineering
  530.241 Electronics and Instrumentation                elective and Technical Elective requirements in the
      [or 520.213 Circuits followed by 520.345           general Mechanical Engineering program):
      Electrical and Computer Engineering
                                                            530.328 Fluid Mechanics II
      Laboratory (which can be used as a
      Technical Elective) or 525.134 Electrical             530.418 Aerospace Structures and Materials
      Engineering Laboratory II.]                           530.424 Dynamics of Robots and Spacecraft
  530.327 Introduction to Fluid Mechanics                   530.425 Mechanics of Flight
  530.334 Heat Transfer                                     530.432 Jet and Rocket Propulsion
  530.343 Design and Analysis of Dynamical                  530.467 Thermal Design Issues for Aerospace
      Systems                                                    Systems
  530.352 Materials Selection                               530.470 Space Vehicle Dynamics and Control
  530.454 Manufacturing Engineering                         535.442 Control Systems for ME Applications
  530.461 Engineering Business and                          615.444 Space Systems I
      Management [or 660.105 Introduction to                615.445 Space Systems II
      Business and 660.341 Business Process and
                                                            Any five of the courses listed above are required.
      Quality Management.]
                                                         A sixth course amongst this list, though not required
Capstone Design (8 credits; grades of D or D+            is highly recommended.
not accepted)                                               Other courses relevant to the concentration,
                                                         however which don’t count toward the require-
  530.403/404 Engineering Design Project I/II
                                                         ments include:
Mechanical Engineering Electives (9 credits;                171.118 Stars and the Universe
grades of D or D+ not accepted)                             520.214 Signals and Systems
Three courses (300-level or higher) in mechanical           520.401 Basic Communications
engineering                                                 525.445 Modern Navigation Systems

Technical Electives (9 credits; grades of D or              Students may not use the satisfactory/unsatisfac-
D+ not accepted)                                         tory option for required courses, including (H)
•	 Three	 (E),	 (Q),	 or	 (N)	 courses	 at	 or	 above	   and (S), unless approved by their faculty adviser.
   the 300-level, chosen from any combination of         Further, the Department of Mechanical Engineer-
   courses in engineering, basic sciences, or mathe-     ing required that grades of C- or better be obtained
   matics selected in consultation with the student’s    in all required Engineering, Mathematics, and Sci-
   adviser. These courses are intended to comple-        ence courses (i.e. grades of D or D+ will not be
   ment the mechanical engineering electives. One        accepted). The department will accept D grades
   of the three technical electives may be a com-        only up to a maximum of 10 credit hours except
   puter language course taken at any level.             where indicated.

  A program of not less than 126 credits must be
completed to be eligible for the bachelor’s degree.
All undergraduate students must follow a program
544 / Mechanical Engineering

Sample Program:                                 Spring
                                                530.334 Heat Transfer                           3+1
• Year 1                                        530.343 Design and Analysis of                  3+1
 Fall                                               Dynamic Systems
 110.108 Calculus I                       4     Mechanical Engineering Elective                   3
 510.101 Intro to Materials Chemistry     3     Technical Elective                                3
 530.101 Freshman Experiences in          2          Subtotal                                    14
      Mechanical Engineering I
 530.103 Intro to Mechanics I             2   • Year 4
 530.105 MechE Freshman Lab I             1     Fall
 H/S Elective                             3     530.403 Engineering Design Project I              4
      Subtotal                           15     530.454 Manufacturing Engineering                 3
                                                530.461 Engineering Business and                  3
 110.109 Calculus II                      4
                                                Technical Elective                                3
 530.102 Freshman Experiences in
                                                H/S Elective                                      3
     Mechanical Engineering II            2
                                                     Subtotal                                    16
 530.104 Intro to Mechanics II            2
 530.106 MechE Freshman Lab II            1     Spring
 H/S Elective: Microeconomics             3     530.404 Engineering Design Project II             4
     or Macroeconomics                          Mechanical Engineering Elective                   3
 H/S Elective                             3     Mechanical Engineering Elective                   3
      Subtotal                           15     Technical Elective                                3
                                                H/S Elective                                      3
• Year 2                                             Subtotal                                    16
 Fall                                           Total                                           126
 110.202 Calculus III                     4
 530.201 Statics and Mechanics          3+1   The Engineering Mechanics Program
 530.231 Mechanical Engineering         3+1   The mission of the B.S. in engineering mechanics
      Thermodynamics                          degree program is to provide a rigorous educational
 171.102 General Physics II               4   experience that prepares a select group of students for
 173.112 General Physics II Lab           1   leadership positions in the profession and a lifetime
      Subtotal                           17   of learning. The faculty is committed to maintaining a
                                              modern and flexible curriculum which, building on a
 Spring                                       foundation of basic sciences and mathematics, devel-
 550.291 Linear Algebra/Differential      4   ops a solid education in the mechanical engineering
     Equations                                sciences. The aim of the Engineering Mechanics pro-
 530.202 Dynamics                       3+1   gram is to build competence in the analysis, design,
 530.215 Mechanics-Based Design         3+1   and modeling of fluid and solid systems, to promote
 530.241 Electronics and                      a broad knowledge of the contemporary social and
     Instrumentation                    3+1   economic context, and to develop the communica-
      Subtotal                           16   tion skills necessary to excel.
                                                  The educational objectives for the B.S. in engi-
• Year 3
                                              neering mechanics degree are designed to educate
 Fall                                         a select group of science-oriented engineers who,
 530.327 Intro Fluid Mechanics          3+1   after graduation, will be successful and on track to
 530.352 Materials Selection            3+1   become leaders among their peers as (1) advanced
 H/S Writing Elective                     3   students in the best graduate programs in engineer-
 H/S Elective                             3   ing, science, medical schools, or law schools, or (2) as
 Statistics Elective                      3   engineers in industry, government laboratories and
      Subtotal                           17   other organizations. In these endeavors, they will:
                                              •	 Apply	and	cultivate	their	understanding	and	mas-
                                                 tery of the fundamental scientific, engineering,
                                                 and professional principles at the foundation of
                                                                             Mechanical Engineering / 545

•	 Apply	 advanced	 mathematical,	 computational	          goals. This program of study may range from a gen-
   and experimental techniques to respond to               eral study of mechanics or engineering science to
   demands of advanced technology, economy, and            more specialized programs in a variety of areas,
   efficiency that put an ever-increasing premium          such as robotics, fluid dynamics, environmental
   on the quantitative aspects of engineering,             engineering, mechanics of solids, experimental
•	 Contribute	to	society	as	broadly	educated,	articu-      mechanics, dynamical systems, mechanics of mate-
   late, and ethical citizens, who are at ease in cross-   rials, or biomechanics.
   disciplinary and multidisciplinary teams, and              This flexibility makes the program ideal for dou-
•	 Strive	 to	 continually	 update	 and	 renew	 their	     ble- majors and for those wishing to tailor a strong
   knowledge throughout their careers, to excel in         foundation for graduate work in a wide range of
   a rapidly changing world.                               disciplines. All mathematics elective and technical
                                                           elective courses must be at the 300-level or higher,
Students graduating from the B.S. in Engineering           unless approved by their faculty adviser.
Mechanics programs will have demonstrated the
ability to                                                 Either Mathematics with a focus on applications
                                                           (23 credits; grades of D or D+ not accepted)
•	 Understand	and	apply	the	fundamentals	of	math-
   ematics (through linear algebra and multivariate          110.108 Calculus I
   calculus), numerical methods, statistical analysis        110.109 Calculus II
   and physical sciences (physics and chemistry)             110.202 Calculus III, (or 110.211 Honors
   necessary to attain competence in the mechan-                  Multivariable Calculus and Linear
   ics or related disciplines such as applied physics,            Algebra, or 110.201 Linear Algebra
   bioengineering or other scientific/engineering                 [semester one])
   disciplines.                                              550.291 Linear Algebra/Differential
•	 Understand	the	interplay	between	engineering	                  Equations, (or 110.212 Honors
   science and the design, evaluation and reporting               Multivariable Calculus and Linear
   of experiments including analysis and statistical              Algebra, or 110.302 Differential Equations
   interpretation of data.                                        [semester two])
                                                             Another Mathematics Elective
•	 Identify,	formulate	and	solve	engineering	prob-
                                                             Statistics Elective at the 300 level or above (e.g.
   lems in the mechanical sciences.
                                                                  560.435 Probability and Statistics in Civil
•	 Use	basic	concepts	from	the	mechanical	sciences,	              Engineering or 550.310 Probability and
   mathematics, the basic sciences and related sub-               Statistics)
   jects, as well as modern engineering tools, to
   design mechanical engineering components and            Or Mathematics with a focus on fundamentals
   processes, taking into account constraints such         (23 credits; grades of D or D+ not accepted)
   as manufacturability, cost, safety, environmental         110.108 Calculus I
   and socio-political impacts,                              110.109 Calculus II
•	 Enter	graduate	school	and/or	professional	prac-           110.211-212 Honors Multivariable Calculus
   tice with the tools needed for life-long learning              and Linear Algebra
   and the recognition of its importance.                    110.302 Differential Equations with
•	 Use	effective	communication,	multidisciplinary	                Applications
   teamwork, and possess awareness of professional           Statistics Elective at the 300 level or above (e.g.
   and ethical responsibilities, and an appreciation              560.435 Probability and Statistics in Civil
   of the societal, economic, and environmental                   Engineering or 550.310 Probability and
   impacts of engineering.                                        Statistics)

   The curriculum is intended to enable graduates          Basic Science (16-17 credits; grades of D or D+
to explore fundamental questions in many fields            not accepted)
of engineering. Emphasis is placed on the basic              530.103/104 Introduction to Mechanics I/II
sciences (mathematics, physics, and chemistry)                   and 530.105/106 Mechanical Engineering
and on the analysis, modeling, and design aspects                Freshmen Laboratory I/II or 171.101
of solid and fluid engineering systems. Although                 Physics I and 171.111 Physics Lab I
specific core courses are required, the student is           171.102 Physics II and 171.112 Physics Lab II
encouraged and guided by his or her advisor to               510.101 Introduction to Materials Chemistry
select an individual program of study, within ABET               (or 030.101 Chemistry I)
guidelines, according to the student’s particular            Another basic science elective
546 / Mechanical Engineering

Humanities (18 credits)                                 Engineering Mechanics Electives (6 credits;
Six humanities and/or social science electives (des-    grades of D or D+ not accepted)
ignated H or S in this catalog) of which one must       Two additional elective courses in the same area
specifically teach writing (either 060.113 Exposi-      of engineering mechanics (solid mechanics, fluid
tory Writing, 220.105 Introduction to Fiction and       mechanics, or dynamics).
Poetry Writing, or another course as approved by
the student’s advisor) and one must be in eco-          Technical Electives (minimum of 18 credits;
nomics. To obtain coherence and depth in these          grades of D or D+ not accepted))
humanities and social science electives, at least six   A minimum of four (E), (Q), or (N) courses at or
credits must be at the 300-level or higher.             above the 300-level, chosen in consultation with the
                                                        student’s adviser from any combination of courses
Required Engineering Courses (minimum of                in engineering, basic sciences, or mathematics.
26 credits; grades of D or D+ not accepted)                Appropriate choices from the social sciences and
  Introductory course(s) in computing: 530.101/         philosophy may be also used to fulfill this require-
102 Freshman Experiences in Mechanical Engineer-        ment (for example, 180.305 Game Theory, 150.420
ing I and II and 530.105/106 Mechanical Engineer-       Logic), if approved by the student’s adviser. Because
ing Freshmen Laboratory I/II(recommended), or           of the importance of computer languages in mod-
another computing course if a different introduc-       ern technical society, students may take computer
tory engineering course is taken.                       language courses at any level.
  Introductory course for freshmen: students must
choose one of the following (*=strongly recom-          Fluid mechanics courses may be chosen from
mended, **=recommended):                                courses such as:
     530.101/102 Freshman Experiences                     530.328 Fluid Mechanics II
          in Mechanical Engineering I and                 530.425 Mechanics of Flight
          II (combines introductory course                570.301 Environmental Engineering I:
          in computing and an overview of                     Fundamentals
          Mechanical Engineering)*                        580.460 Physiological Fluid Mechanics
     510.102 Materials and their Influence on             580.461 Biological Transport
                                                        Dynamics courses may be chosen from courses
     520.137 Introduction to Electrical and             such as:
          Computer Engineering                            530.343 Design and Analysis of Dynamic
     500.101 What is Engineering?**                           Systems
     570.108 Introduction to Environmental                530.424 Dynamics of Robots and Spacecraft
          Engineering                                     530.420 Robot Sensors and Actuators
  530.201 Statics and Mechanics of Materials              171.204 Classical Mechanics
  560.202 Dynamics                                        550.391 Dynamical Systems
  530.231 Mechanical Engineering
       Thermodynamics                                   Solid mechanics courses may be chosen from
  530.405 Mechanics of Solids and Structures or         courses such as:
       530.215 Mechanics Based Design                     530.215 Mechanics Based Design
  530.327 Introduction to Fluid Mechanics                 530.405 Mechanics of Solids and Structures,
                                                              if not used to satisfy the required
Capstone Design (8 credits; grades of D or D+
                                                              engineering courses
not accepted)
                                                          530.414 Computer-Aided Design
  530.403/404 Engineering Design Project I/II             530.416 Advanced Mechanical Design
                                                          530.730 Finite Element Methods
Engineering Science Electives (12 credits;
grades of D or D+ not accepted)                           560.301 Theory of Structures
  One course in the mechanics of solids                   560.302 Structural Analysis and Design
  One course in the mechanics of fluids                   560.445 Advanced Structural Analysis
  One additional course in the mechanics of               580.450 Mechanics of Living Tissues
     either solids or fluids                              A program of 127-128 credits, based on the
  One course in either materials or dynamics            requirements above must be completed to be eli-
                                                        gible for the bachelor’s degree.
                                                          Students may not use the satisfactory/unsatisfac-
                                                        tory option for required courses, including (H) and
                                                                           Mechanical Engineering / 547

(S), unless approved by their faculty adviser. The       Example bio-oriented courses which can be applied
department will accept D grades only up to a maxi-       to the above three categories include (but are not
mum of 10 credit hours except where indicated.           limited to):
All undergraduate students must follow a program           020.386 Macromolecular Machines
approved by a faculty member in the department             250.353 Biomolecular Dynamics and
who is selected as the student’s adviser.                       Ensembles
                                                           510.426 Biomolecular Materials
Biomechanics Concentration
Engineering Mechanics (EM) is a highly flexible            530.440 Computational Mechanics of
program offered by the Department of Mechanical                 Biological Macromolecules
Engineering, which is ideal for students who want          530.445 Introductory Biomechanics
to specialize in any area of mechanics, including          530.446 Experimental Biomechanics
biomechanics. The essence of mechanics is the              530.448 Biomechanics II
interplay between forces and motion.                       530.495 Microfabrication Laboratory
   In biology, mechanics is important at the mac-          540.409 Modeling Dynamics and Control for
roscopic, cellular, and subcellular levels. At the              Chemical and Biological Systems
macroscopic length scale biomechanics of both              580.455 Introduction to Orthopaedic
soft and hard tissues plays an important role in                Biomechanics
computer- integrated surgical systems and technol-         580.460 Physiological Fluid Mechanics
ogies (e.g., medical robotics). At the cellular level,     550.471 Combinational Analysis
issues such as cell motility and chemotaxis can be
                                                           530.571 Statistical Mechanics in Biological
modeled as mechanical phenomena. At the subcel-
lular level, conformational transitions in biological
macromolecules can be modeled using molecular               This is not a complete list of possible courses
dynamics simulation (which is nothing more than          that can be taken, and not all of these courses
computational Newtonian mechanics), statistical          must be taken. Rather, students who wish to pur-
mechanics, or using coarse-grained techniques that       sue the Biomechanics concentration will take at
rely on principles from the mechanics of materi-         least five courses such as those listed above. These
als. In addition, much of structural biology can be      five should be concentrated either at the cellular/
viewed from the perspective of Kinematics (e.g.,         subcellular length scale or in macroscopic biome-
finding spatial relationships in data from the Pro-      chanics. Note that given the flexibility of the EM
tein Data Bank).                                         program, it would be possible for students to satisfy
   Each student who pursues the Biomechanics             both of these kinds of concentrations simultane-
concentration within the EM major will, in con-          ously if they apply all 12 of their elective courses
sultation with his or her EM adviser, choose the         towards this end.
set of technical and EM electives that best matches
the student’s interests. Many electives from other       Sample Program:
departments are acceptable. The electives for the
                                                         • Year 1
EM major are structured as follows:
Engineering Science Electives (12 credits)                 110.108 Calculus I                             4
  One course in solid mechanics                            510.101 Intro to Materials Chemistry           3
  One course in fluid mechanics                            Intro to Engineering Elective and Lab I        3
  One additional course in mechanics of either             H/S Elective (1)                               3
     solids or fluids                                      Basic Science Elective                         3
  One course in either materials or dynamics                    Subtotal                                 16

Engineering Mechanics Electives (6 credits)                Spring
Two additional courses in the same area of mechan-         110.109 Calculus II                             4
ics (i.e., fluids, solids, or dynamics)                    Intro to Computing Elective or
                                                           Intro to Engineering Elective and Lab II        3
Technical Electives (18 credits)                           H/S Elective (2): Microeconomics or             3
Chosen from 300-level courses in engineering and               Macroeconomics
the sciences in consultation with the student’s fac-       H/S Elective (3) (writing)                     3
ulty adviser.                                                   Subtotal                                 13
548 / Mechanical Engineering

• Year 2                                       The Concurrent Five-Year Bachelor’s /
                                               Master’s Program
 Fall                                          The Mechanical Engineering Department offers
 110.202 Calculus III                      4   a concurrent five-year bachelor’s/master’s pro-
 530.201 Statics and Mechanics           3+1   gram for mechanical engineering and engineer-
 530.231 Mechanical Engineering          3+1   ing mechanics majors. Applications to the BS/
      Thermodynamics                           MSE program should be submitted by January 5
 171.102 General Physics II                4   for consideration of Spring admission and June
 173.112 General Physics II Lab            1   15 for possible Fall admission, during applicant’s
      Subtotal                            17   junior (3rd) year.
 Spring                                          To apply for admission, the student must submit
 550.291 Linear Algebra/Differential       4   an application. In addition, the student will need to
     Equations                                 present a statement of purpose, college transcripts,
 530.202 Dynamics                        3+1   and three letters of recommendation; two of which
 530.215 Mechanics-Based Design          3+1   should be from Mechanical Engineering faculty.
 Technical Elective (1)                    4     Upon acceptance into the program, students will
      Subtotal                            16   be asked to develop an outline of their proposed
                                               academic program with their advisor.
• Year 3
                                               Graduate Programs
 530.327 Intro Fluid Mechanics           3+1   Admission and Advising
 Engineering Mechanics elective (solids) 3+1   To be admitted to graduate study in the Depart-
 Technical Elective (2)                    4   ment of Mechanical Engineering, applicants must
 Statistics Elective                       3   submit credentials sufficient to convince the fac-
      Subtotal                            15   ulty that they have a good chance of obtaining the
 Spring                                        advanced degree in a reasonable time. No academic
 Engineering Mechanics elective (fluids) 3+1   degree is required, but the applicant should have at
 Engineering Mechanics elective          3+1   least two years of good undergraduate training, or
     (solids/fluids)                           the equivalent, and should have achieved very high
 Technical Elective                        3   marks or have given other evidence of outstanding
 Mathematics Elective                      3   ability. Graduate Record Examination scores must
 H/S Elective (4)                          3   be submitted.
      Subtotal                            17      Upon arrival, each graduate student is assigned
                                               to a faculty adviser to help him/her to map out a
• Year 4                                       tentative program for the first year and enter the
                                               intellectual life of the department. The student is
 Fall                                          expected to remain in regular communication with
 530.403 Engineering Design Project I      4   the adviser. The adviser may use a variety of meth-
 Engineering Mechanics elective            3   ods to assess the student’s progress, sometimes
 Engineering Mechanics elective            3   including special oral or written examinations. It is
 Engineering Mechanics elective            3   not necessary that a student have the same adviser
      (materials/dynamics)                     in successive years. After serious research for a dis-
 H/S Elective (5)                          3   sertation has begun, the research supervisor will
      Subtotal                            16   automatically function as adviser.
                                               Requirements for the M.S.E. Degree
 530.404 Engineering Design Project II     4
                                               For the master of science in engineering degree at
 Technical Elective (4)                    4
                                               least eight one-semester courses are required. At
 Technical Elective (5)                    4
                                               least half of them must be selected among those
 H/S Elective (6)                          3
                                               listed as graduate courses in this catalog. A completed
      Subtotal                            15
                                               piece of research conducted under the guidance
 Total                                   127   of a full-time faculty member of the department
                                               and reported as a master’s essay is required. All
                                               students must follow a course of study approved
                                               by their individual adviser.
                                                                                    Mechanical Engineering / 549

   A non-thesis master of science in engineering               semester of enrollment. The second is an oral
degree is also offered. The student must successfully          examination satisfying the Graduate Board require-
complete a coordinated sequence of ten courses,                ments. This is a comprehensive examination in
which typically requires one year of full-time resi-           which students must demonstrate proficiency at
dent graduate study. At least six of the ten courses           the graduate level in their field of specialization; it
must be selected amongst the graduate courses                  is taken after the departmental exam.
of this catalog. The intent of this program is to                 Although there are no formal course require-
provide the student with an intensive exposure to              ments, students are presumed to be prepared by
fundamental and advanced topics within mechani-                studies equal to six 600-level courses in their field
cal engineering and engineering mechanics. All                 of specialization and six courses in related fields.
students must follow a course of study approved                All candidates for the doctorate must complete two
by their individual adviser.                                   semesters as a teaching assistant as part of their
                                                               training. All students are required to follow a course
Requirements for the Ph.D. Degree                              of study approved by their individual adviser.
As soon as the student is prepared to do so, he/                  The final and principal requirement for the
she should fulfill the requirements for candidacy.             doctorate is a piece of original research worthy of
In addition to general university requirements,                publication. Candidates must write a dissertation
the student must pass two exams. The first is an               describing their work in detail and pass a final oral
oral departmental qualifying exam based on core                examination which is essentially a defense of the
courses. This exam is usually taken after the third            dissertation.

Undergraduate Courses
530.101/102 (E) Freshman Experiences in Mechanical             allow students to synthesize working systems by combining
Engineering I and II                                           mechanics knowledge and practical engineering skills. Co-
An overview of the field of mechanical engineering             requisites are 530.101/102 and 530.103/104.
along with topics that will be important throughout the        Okamura 1 credit each semester/offered yearly
mechanical engineering program. This one-year course
includes applications of mechanics, elementary numerical       530.201 (E) Statics and Mechanics of Materials
analysis, programming in Matlab, use of computer in data       Equilibrium of rigid bodies, free-body diagrams, design of
acquisition, analysis, design, and visualization, technical    trusses. One-dimensional stress and strain, Hooke’s law.
drawing, the design process and creativity, report prepara-    Properties of areas. Stress, strain, and deflection of com-
tion, teamwork, and engineering ethics. Co-requisites are      ponents subjected to uniaxial tension, simple torsion, and
530.103/104 and 530.105/106, and 110.109 (for spring).         bending. Prerequisite: 171.101 or 530.103 and 530.104; or
Okamura 2 credits each semester/offered yearly                 permission of instructor.
                                                               Graham-Brady 4 credits
530.103/104 (E) Introduction to Mechanics I and II
                                                               (3 hours lecture, 1 hour lab) fall
A one-year course offering in-depth study of elements
of mechanics, including linear statics and dynamics,
                                                               530.215 (E) Mechanics-Based Design
rotational statics and dynamics, thermodynamics, fluids,
continuum mechanics, transport, oscillations, and waves.       Stresses and strains in three dimensions, transformations.
This is an alternative to 171.101, designed specifically for   Combined loading of components, failure theories. Buck-
Mechanical Engineers and Engineering Mechanics stu-            ling of columns. Stress concentrations. Introduction to the
dents taking 530.101/102 concurrently. Co-requisites are       finite element method. Design of fasteners, springs, gears,
530.101/102 and 530.105/106 (laboratory).                      bearings, and other components. Prerequisite: 530.201.
Okamura 2 credits each semester/offered yearly                 Ramesh or Wang 4 credits
                                                               (3 hours lecture, 1 hour lab) spring
530.105/106 (E) Mechanical Engineering Freshman
Laboratory I and II                                            530.231 (E) Mechanical Engineering Thermodynamics
Hands-on laboratory complementing 530.101/102 and              Properties of pure substances, phase equilibrium, equa-
530.103/104, including experiments, mechanical dissec-         tions of state. First law, control volumes, conservation of
tions, and design experiences distributed throughout the       energy. Second law, entropy, efficiency, reversibility. Car-
year. Experiments are designed to give students background     not and Rankine cycles. Internal combustion engines, gas
in experimental techniques as well as to reinforce physical    turbines. Ideal gas mixtures, air-vapor mixtures. Introduc-
principles. Mechanical dissections connect physical princi-    tion to combustion. Corequisite: 171.102; Prerequisite:
ples to practical engineering applications. Design projects    110.109.
550 / Mechanical Engineering

Meneveau or Katz       4 credits (3 hours lecture,              530.352 (E) Materials Selection
1 hour lab) fall                                                An introduction to the properties and applications of
                                                                a wide variety of materials: metals, polymers, ceramics,
530.241 (E) Electronics and Instrumentation
                                                                and composites. Considerations include availability and
                                                                cost, formability, rigidity, strength, and toughness. This
Introduction to basic analog electronics and instrumen-
                                                                course is designed to facilitate sensible materials choices
tation with emphasis on basic electronic devices and
                                                                so as to avoid catastrophic failures leading to the loss of
techniques relevant to mechanical engineering. Topics
                                                                life and property. Prerequisite: 530.215 or permission of
include basic circuit analysis, laboratory instruments,
discrete components, transistors, filters, op-amps, ampli-
                                                                Hemker 4 credits (3 hours lecture, 1 hour lab) fall
fiers, differential amplifiers, power amplification, power
regulators, AC and DC power conversion, system design
                                                                530.403-404 (E) Engineering Design Project
considerations (noise, precision, accuracy, power, effi-
ciency), and applications to engineering instrumentation.       This senior year “capstone design” course is intended to
Prerequisites: Physics I and II, Linear Algebra, Differen-      give some practice and experience in the art of engineer-
tial Equations.                                                 ing design. Students working in teams of two to four will
Cowan or Whitcomb 3 credits fall                                select a small-scale, industry-suggested design problem in
                                                                the area of small production equipment, light machin-
530.327 (E) Introduction to Fluid Mechanics                     ery products, or manufacturing systems and methods. A
Physical properties of fluids. Fluid statics. Control volumes   solution to the problem is devised and constructed by
and surfaces, kinematics of fluids, conservation of mass.       the student group within limited time and cost bound-
Linear momentum in integral form. Bernoulli’s equation          aries. Preliminary oral reports of the proposed solution
and applications. Dimensional analysis. The Navier-Stokes       are presented at the end of the first semester or sooner.
equations. Laminar and turbulent viscous flows. External        A final device, product, system, or method is presented
flows, lift and drag. Prerequisites: 110.302 or 550.291, plus   orally and in writing at the end of the second semester.
560.202.                                                        Facilities of the Engineering Design Laboratory (includ-
Su 4 credits (3 hours lecture, 1 hour lab) fall                 ing machine shop time) and a specified amount of money
                                                                are allocated to each student design team for purchases
530.328 (E) Fluid Mechanics II
                                                                of parts, supplies, and machine shop time where needed.
Linear and angular momentum in integral form, appli-
                                                                Prerequisites: For mechanical engineering majors:
cations to turbomachines. The Navier-Stokes equations.
                                                                530.215, 530.327. For engineering mechanics majors and
Inviscid flow. Laminar viscous flow. Boundary layers.
                                                                biomedical engineering majors: 530.215 or 530.405, and
Turbulence. Compressible flows. Projects using compu-
                                                                530.327. To receive credit for this course, both semesters
tational tools, design of pipe network.
                                                                must be completed.
Meneveau 3 credits spring
                                                                Hemker 8 credits academic year
530.334 (E) Heat Transfer
Conduction in one, two, and three dimensions. External          530.405 (E) Mechanics of Solids and Structures
and internal forced convection, convection with change          Continuum mechanics provides a rigorous basis to the
in phase. Performance and design of heat exchangers.            study of deformable solids and fluids. Review of vector
Black-body radiation, Stefan-Boltzmann law. Computa-            calculus and tensor analysis. Kinematics of a body. Stress.
tional modeling and experimental study of selected topics       Conservation laws. Constitutive equations for solids and
in conduction, convection, and radiation. Prerequisites:        fluids. Linear elasticity. Energy methods and foundations
530.231, 530.327.                                               of the finite element method. Prerequisites: 110.201, Lin-
Herman or Prosperetti 4 credits (3 hours lecture,               ear Algebra and Differential Equations, and 530.215 or
1 hour lab) spring                                              permission of the instructor.
530.343 (E) Design and Analysis of Dynamic Systems              Ramesh 3 credits spring
Modeling and analysis of damped and undamped, forced
                                                                530.410 (E, N) Biomechanics of the Cell and Organisms
and free vibrations in single and multiple degree-of-free-
dom linear dynamical systems. Introduction to stability         Mechanical aspects of the cell are introduced using the
and control of linear dynamical systems. Prerequisites:         concepts in continuum mechanics. Discussion of the role
110.108, 110.109, 110.202, and 550.291, plus for Mechani-       of proteins, membranes and cytoskeleton in cellular func-
cal Engineering majors only: 530.241.                           tion and how to describe them using simple mathemati-
Sun or Cowan 4 credits (3 hours lecture,                        cal models. Prerequisite: Introductory physics, a year of
1 hour lab) spring                                              calculus, and preferably linear algebra also.
                                                                Sun 3 credits spring
530.344 (E) Dynamic Systems Laboratory
This is an alternate laboratory course for the lab com-         530.414 (E) Computer-Aided Design
ponent in 530.343 (Design and Analysis of Dynamic Sys-          The course outlines a modern design platform for 3D
tems). This lab course is required for students who have        modeling, analysis, simulation, and manufacturing of
taken the course abroad or outside JHU.                         mechanical systems using the “Pro/E” package by PTC.
Okamura 1 credit spring                                         The package includes the following components:
                                                                                    Mechanical Engineering / 551

•	 Pro/ENGINEER: is the kernel of the design process,          the topics of mechanism design, motors and sensors, inter-
   spanning the entire product development, from cre-          facing and programming microprocessors, mechanics
   ative concept through detailed product definition to        prototyping, and creativity in the design process. Course
   serviceability.                                             labs and projects are performed in small student groups.
•	 Pro/MECHANICA: is the main analysis & simulation            Each group develops a microprocessor-controlled electro-
   component for kinematic, dynamic, structural, thermal       mechanical device, such as a mobile robot or art-making
   and durability performance.                                 machine. Project topics vary from year to year. Prerequisite
                                                               530.420 or permission of instructor.
•	 Pro/NC: is a numeric-control manufacturing package.
                                                               Chirikjian 3 credits spring
   This component provides NC programming capabili-
   ties and tool libraries. It creates programs for a large    530.424 (E) Dynamics of Robots and Spacecraft
   variety of CNC machine tools.                               An introduction to Lagrangian mechanics with applica-
Stoianovici 3 credits fall                                     tion to robot and spacecraft dynamics and control. Top-
                                                               ics include rigid body kinematics, efficient formulation
530.415 (E, N) Energy Engineering: Fundamentals And
                                                               of equations of motion, stability theory, and Hamilton’s
                                                               principle. Prerequisite: 560.202.
This course examines the science and engineering of con-
                                                               Chirikjian 3 credits spring/even years
temporary and cutting-edge energy technologies. Materi-
als Science and Mechanical Engineering fundamentals            530.425 (E) Mechanics of Flight
in this area will be complemented by case studies that         Elements of flight dynamics: aerodynamics forces, glid-
include fuel cells, solar cells, lighting, thermoelectrics,    ing, cruising, turning, ascending, descending, stability,
wind turbines, engines, nuclear power, biofuels, and           etc. Review of the pertinent fluid mechanic principles.
catalysis. Students will consider various alternative energy   Application to two-dimensional airfoils and theory of lift.
systems, and also to research and engineering of tradi-        Three-dimensional airfoils. Boundary layers. Effects of
tional energy technologies aimed at increased efficiency,      compressibility. Subsonic and supersonic flight. Prereq-
conservation, and sustainability. Prereq: Undergraduate        uisites: 530.231, 530.327, 530.328 (may be taken concur-
course in thermodynamics. Co-listed with 500.405.              rently), or permission of the instructor.
Erlebacher/ Katz/ Hemker 3 credits                             Prosperetti or Herman 3 credits spring/odd years

530.416 (E) Advanced Mechanical Design                         530.432 (E) Jet and Rocket Propulsion
A continuation of 530.215 expanding on topics such as          The course covers several topics associated with power
fatigue, fracture, and various mechanical components           generation and conversion. Gas turbines, such as turbo-
and including linkage systems and cams. Student teams          jet, turbo-fan, and turbo-prop engines, as well as their
will be assigned different experimental or computational       components, are discussed. Included are the character-
projects. Three lectures per week initially and then two       istics of compressors, turbines, combustion chambers,
per week during project work. Prerequisite: 530.215.           diffusers, and nozzles. A brief introduction to rocket
Staff 3 credits                                                propulsion with liquid and solid fuels is also given. The
                                                               second part of the course deals with internal combustion
530.418 (E) Aerospace Structures and Materials                 engines, including two- and four-stroke engines as well as
An introduction to the design of aircraft and spacecraft       diesel engines. Prerequisites: 530.231, 530.327.
structures and components. This course will build on skills    Katz 3 credits spring/alternating years
learned in 530.215 Mechanics-Based Design and 530.352
Materials Selection. Prerequisites: 530.215, 530.352 or        530.435 (E) Refrigeration and Heating, Ventilating,
consent of instructor.                                         and Air Conditioning
Hemker 3 credits                                               This course deals with processes and equipment used for
                                                               refrigeration and heating, ventilating, and air condition-
530.420 (E) Robot Actuators and Sensors                        ing. Topics include thermodynamic refrigeration cycles,
Introduction to modeling and use of actuators and              refrigerants, air conditioning systems, indoor air quality,
sensors in mechatronic design. Topics include electric         heat load, cooling load. Prerequisite: 530.334.
motors, solenoids, micro-actuators, position sensors, and      Herman 3 credits fall/even years
proximity sensors. Laboratory. Prerequisites: 171.101 or
530.103 and 530.104, plus 171.102, 110.108, 110.109,           530.440 (E) Computational Mechanics of Biological
110.202, 550.291, and either 530.241 or 520.345.               Macromolecules
Whitcomb 3 credits fall                                        Biological macromolecules such as proteins and nucleic
                                                               acids consist of thousands of atoms. Whereas crystal-
530.421 (E) Mechatronics                                       lographic data of these molecules provides baseline
Mechatronics is the synergistic integration of mechanism,      information on their three-dimensional structure, their
electronics, and computer control to achieve a functional      biological function can depend to a great extent on
system. This interdisciplinary course includes lectures, lab   mechanical characteristics such as conformational flex-
assignments and projects that teach the student to design      ibility. In this course, we will examine numerical methods
and build mechatronic devices, building upon the themes        for modeling shape fluctuations in large biomolecules
of 530.420 Robot Sensors and Actuators. We expand on           using coarse-grained elastic network models. The course
552 / Mechanical Engineering

will consist of lectures, reading papers, and performing       preparation are discussed. Economic and production
computer projects. No prior knowledge of biochemistry          aspects are considered throughout. Prerequisites: 530.215
or molecular biology is required. Prerequisite: Knowledge      and 530.352 or permission of instructor.
of linear algebra and differential equations.                  Staff 3 credits fall
Chirikjian 3 credits
                                                               530.457 (E, N) Introduction to Acoustics
530.445 (E, N) Introduction to Biomechanics                    This course is an introduction to the science of sound
An introduction to the mechanics of biological materials       and its applications to music, speech communication, sci-
and systems. Both soft tissue such as muscle and hard tis-     ence, and engineering. Topics include hearing, speech,
sue such as bone will be studied as will the way they inter-   wave propagation, microphones and loudspeakers, noise
act in physiological functions. Special emphasis will be       control, underwater sound, and room acoustics. Assign-
given to orthopedic biomechanics. Prerequisite 530.215.        ments will include laboratory and field measurements of
Belkoff 3 credits fall                                         acoustic phenomena.
530.446 (E, N) Experimental Biomechanics                       Staff 3 credits
An introduction to experimental methods used in bio-
                                                               530.461 (E) Engineering Business and Management
medical research. Standard experimental techniques
will be applied to biological tissues, where applicable        An introduction to the business and management aspects
and novel techniques will be introduced. Topics include        of the engineering profession. The course will focus on
strain gauges, extensometers, load transducers, optical        the process of product definition and development, the
kinematic tracking, digital image correlation, proper          structure and functioning of engineering organizations,
experimental design, calibration and error analysis. Of        project management, intellectual property protection,
particular emphasis will be maintaining native tissue tem-     and the management of project teams.
perature and hydration. Laboratory will include “hands-        Staff 3 credits fall
on” testing.
Belkoff 3 credits                                              530.467 (E) Thermal Design Issues for Aerospace
530.448 (E) BioMechanics II                                    This course deals with processes, systems, instruments and
A review of the fundamental concepts of statics and            equipment for aerospace systems. Issues of energy conver-
mechanics and application to study the mechanical              sion and thermal design are emphasized. Topics include
behavior of cells, soft tissues, and biofluids. Topics to      thermodynamic concepts and heat transfer processes for
be covered include the elasticity of the red blood cell        aerospace systems (with emphasis on radiation), the space
and cell membrane; viscoelasticity of collagenous soft         environment, influence of gravity on heat transfer, power
tissues such as tendon, skin and blood vessels; and the        generation for space systems (energy sources, solar cell
rheological behavior of blood. Prerequisite 530.201.           arrays, energy storage), thermal control (analysis tech-
Nguyen 3 credits                                               niques, design procedures, active versus passive design,
                                                               heating and refrigeration), environmental effects.
530.449 (E) Compressible Flow                                  Herman 3 credits
One-dimensional flow: acoustic, expansion and shock
waves. Rankine-Hugoniot relations. Quasi-one-dimen-            530.470 (E) Space Vehicle Dynamics and Control
sional flow: variable area duct, de Laval nozzle, chok-        In this course we study applied spacecraft orbital and atti-
ing. Unsteady waves. Shock tube. Two-dimensional flow;         tude dynamics and their impact on other subsystems. In
expansion fans, oblique shocks, characteristics. Linear-       the orbital dynamics part of the course, we discuss some
ized flow. Transonic and supersonic flight.                    the issues associated with orbital insertion, control and
Prosperetti 3 credits                                          station keeping. Focus is on the two-body problem regime
                                                               where conic solutions are valid. Orbit perturbations are
530.451 (E) Cell and Tissue Engineering Laboratory
                                                               also considered. For attitude dynamics, different attitude
This laboratory course will consist of three experiments
                                                               representations such as of direction cosines, quaternions,
that will provide students with valuable hands-on experi-
                                                               and angles are introduced. Then we look at the forces
ence in cell and tissue engineering. Experiments include
                                                               and moments acting on space vehicles. Attitude stability
the basics of cell culture techniques, gene transfection
                                                               and control considerations are introduced.
and metabolic engineering, basics of cell-subtrate interac-
tions I, cell-substrate interactions II, and cell encapsula-   Guzman 3 credits spring
tion and gel contraction.
                                                               530.487 (E, N) Introduction to Microelectromechanical
Wang 2 credits
                                                               Systems (MEMS)
530.454 (E) Manufacturing Engineering                          For engineering and science majors. An introduction to
An introduction to the various manufacturing processes         materials and basic devices with examples of applications
used to produce metal and nonmetal components. Top-            for sensing and actuation. Lectures will be complemented
ics include casting, forming and shaping, and the various      with a set of laboratory experiments. Prerequisite: senior
processes for material removal including computer-con-         or graduate standing or permission of instructor.
trolled machining. Simple joining processes and surface        Staff 3 credits spring/odd years
                                                                                          Mechanical Engineering / 553

530.491-492 Special Topics                                          mechanics. Micromechanics of inelastic deformations.
Selected topics for third- and fourth-year students in              Prerequisite: 530.601 or permission of instructor.
mechanical engineering and other engineering depart-                Staff 3 hours spring
ments. Offered by arrangement with faculty adviser and
instructor in charge.                                               530.605 Mechanics of Solids and Materials I
Staff 1-3 credits                                                   This course provides an introduction to the mathematical
                                                                    and theoretical foundations of the mechanics of solids
530.495 (E, N) Microfabrication Laboratory                          and materials. We will begin with the mathematical pre-
This laboratory course is an introduction to the principles         liminaries of continuum mechanics: vectors and tensors
of microfabrication for microelectronics, sensors, MEMS,            calculus, then introduce the kinematics of deformation
and other synthetic microsystems that have applications             and descriptions of stress in a continuum: Eulerian and
in medicine and biology. Course comprised of laboratory             Lagrangian descriptions, followed by conservation laws:
work and accompanying lectures that cover silicon oxi-              mass, momentum, and energy balance, and entropy.
dation, aluminum evaporation, photoresist deposition,               These concepts will be applied to develop the concepts
photolithography, plating, etching, packaging, design               of constitutive relations: frame invariance, material sym-
and analysis CAD tools, and foundry services. Co-listed             metry, and dissipation. The second half of the class will be
as 520/580.495.                                                     devoted to elasticity, both classical and finite elasticity, and
Andreou, Wang 4 credits fall                                        solution methods for boundary value problems.
                                                                    Nguyen 3 hours Fall
530.496 (E) Micro/Nanoscience and Biotechnology
An introduction to the physical and chemical principles             530.606 Mechanics of Solids and Materials II
important to MEMS, BioMEMS, and bionanotechnol-                     An overview of the area of the mechanics of solids and
ogy. Topics include scaling laws, colloids and surfaces,            materials, with the intent of providing the foundation
micro and nanofluidics, thermal forces and diffusion,               for graduate students interested in research that involves
chemical forces, electrokinetics, electric aspects of               these disciplines. The course is based on the principles
surface chemistry, capillary forces and surface ten-                of continuum mechanics, and covers the fundamental
sion, and top-down and bottom-up nanofabrication.                   concepts of elasticity, plasticity, and fracture as applied
Wang 3 credits fall/even years                                      to materials. One objective is to get graduate students to
                                                                    the point that they can understand significant fractions of
530.525-526 Independent Research                                    research seminars and papers in this area. This mathemat-
Students pursue research problems individually or in                ically rigorous course emphasizes the setup and solution
pairs. Although the research is under the direct super-             of boundary value problems in mechanics, and attempts
vision of a faculty member, students are encouraged to              to integrate the primary behaviors with deformation and
pursue the research as independently as possible.                   failure mechanisms in materials. Special topics covered
Staff 1-3 credits                                                   may include (depending on the interests of the student
                                                                    body) wave propagation, viscoelasticity, geomechanics or
530.527 Independent Study
Staff 1-3 credits
                                                                    Ramesh 3 hours Spring

                                                                    530.610 Statistical Mechanics in Biological Systems
                                                                    Application of equilibrium and nonequilibrium concepts
Graduate Courses                                                    in statistical mechanics to biology is presented in some
530.601 Continuum Mechanics                                         detail. Topics include many-body dynamics and equilib-
An introduction to the foundations of continuum                     rium ensembles, thermodynamics and phase transitions,
mechanics. Vectors and tensors; properties and basic                free energy functionals, computer simulations of biologi-
operations. Kinematics of deformation; Eulerian and                 cal systems, nonequilibrium model such as the Langevin
Lagrangian descriptions of motion. Stress in a contin-              equation and the Fokker-Planck equation, kinetic models
uum. Conservation laws; mass and momentum balance.                  of biochemical networks, Markov models of stochastic sys-
Thermodynamics; energy balance and entropy. Constitu-               tems and pattern formation in nonequilibrium systems.
tive equations; invariance under a change of observer and           Emphasis will be on quantitative understanding of bio-
material symmetry. Fluids and solids; viscous and elastic           logical problems.
response. The Navier-Stokes equations. Finite elasticity.           Sun 3 hours Fall
Linear elasticity.
Staff 3 hours fall                                                  530.612 Computational Solid Mechanics
                                                                    More than an introduction to the use of numerical meth-
530.602 Mechanics of Solids                                         ods in solid mechanics problems, this is a hands-on course
An introduction to elasticity, plasticity, viscoelasticity,         where students will develop their own portfolio of finite
and fracture, using the mathematical tools developed in             element techniques. Topics covered include meshing
530.601 Continuum Mechanics. Stress and equilibrium.                techniques, error estimation and convergence, adaptive
Kinematics. Principle of virtual work. Constitutive rela-           strategies, contact and friction, time integration, elastic
tions: linear elasticity, plasticity, and viscoelasticity. Illus-   and inelastic solids. Graduate students only.
trative boundary value problems. Linear elastic fracture            Staff 3 hours spring
554 / Mechanical Engineering

530.616 Introduction to Linear Systems                            530.635 Mixing and Combustion
A beginning graduate course in linear, time-invariant             Mixing of fluids, covering ideas from dynamical systems
systems. Topics include state-equation representations,           and mixing in turbulent flows. Combustion of gaseous
input-output representations, response properties, con-           and liquid fuels; chemistry, kinetics, deflagrations and
trollability, observability, realization theory, stability, and   detonations, premixed and non-premixed flames, effect
linear feedback. Prerequisite: undergrad courses in con-          of turbulence, spray and droplet combustion, combus-
trol systems and linear algebra. Permission of instructor         tion systems.
required for undergrads. Co-listed as 580.616.                    Su 3 hours spring
Cowan, Vidal 4 hours spring.
                                                                  530.637 Energy and the Environment
530.621-622 Fluid Dynamics I, II                                  The course focuses on advanced topics related to energy
Kinematics. Stress. Conservation of mass, momentum, and           and thermodynamics. The objective of this course is to
energy. Newtonian fluids. The Navier- Stokes equations.           provide a thorough understanding of the environmental
Inviscid flows. Laminar viscous flows. Vorticity. Instability.    impacts related to energy conversion systems. The use of
Turbulence. Boundary layers. External flows. Compress-            the second law of thermodynamics is introduced to quan-
ible flows. Introduction to non-Newtonian fluids.                 tify the performance of energy conversion systems. Topics
Meneveau, Knio, Katz 3 hours fall/spring                          such as global warming, alternative energy sources (solar,
530.625 Turbulence                                                wind power, geothermal, tides, etc.) and new technolo-
Fundamental equations of fluid mechanics, Reynolds                gies (fuel cells and hydrogen economy) and resources
averaging, and the closure problem. Scaling and self-             and sustainable development are addressed. A section of
preservation in boundary-free and wall-bounded shear              the course is devoted to current trends in nuclear energy
flows. Isotropic turbulence and spectral theories. Vorticity      generation and environmental issues associated with it.
dynamics, intermittency, and cascade models. Turbulence           Prerequisite: Thermodynamics
modeling: one- and two-equation models, Reynolds stress           Herman 3 hours fall
modeling, and large-eddy simulations.
                                                                  530.639 Scientific Computing
Meneveau 3 hours fall/even years
                                                                  An introduction to the foundations of scientific com-
530.631 Conduction and Radiation                                  puting. Monte Carlo simulation, molecular dynamics
In the first part of the course, the focus is on steady and       simulation, fast Fourier transform and applications,
transient two- and three-dimensional heat conduction.             optimization, sparse matrices, numerical methods for
Energy balances and the energy equation are reviewed,             time dependent PDEs, parallel programming with mes-
and mathematical methods for solving partial differen-            sage passing systems, data parallel programming, parallel
tial equations are discussed. Heat transfer with a phase          libraries for numerical linear algebra, parallel programs
change, and contemporary conduction problems are dis-             for PDE problems, techniques for high performance sci-
cussed. In the second part of the course radiative proper-        entific computation.
ties and thermal radiation exchange are reviewed. The             Chen 3 hours
equation of transfer for participating media is developed,
and simplification is discussed.                                  530.640 Statistical Mechanics and Molecular Dynamics
Herman 3 hours fall/odd years                                     This course introduces basic concepts of non-equilibrium
                                                                  statistical mechanics and molecular dynamics for engi-
530.632 Convection                                                neers. Topics include Master Equation, Brownian motion,
This course begins with a review of the phenomenologi-            the Boltzmann equation, the hydrodynamic theory from
cal basis of the constitutive models for energy and mass          statistical mechanics, the fluctuation and dissipation theo-
flux. Then, using the transport theorem, general conser-          rem, path integral, effective action, Monte Carlo method,
vation and balance laws are developed for mass, species,          and molecular dynamics simulation.
energy, and entropy. Scaling analysis is used to determine        Chen 3 hours
when simplifications are justified, and simplified cases are
solved analytically. Experimental results and correlations        530.642 Plasticity
are given for more complex situations. Free, mixed, and           The theory of the inelastic behavior of metallic materials.
forced internal and external convection are studied, and          Experimental background and fundamental postulates
convection with a phase change is also explored.                  for the plastic stress-strain relations. Mechanisms of plastic
Prosperetti 3 hours                                               flow; single-crystal and polycrystalline plasticity. Boundary
                                                                  value problems. Variational principles, uniqueness and
530.634 Heat Transfer Processes in Living Tissue                  the upper and lower bound theorems of limit analysis.
The course introduces the fundamentals of bioheat trans-          Slip line theory. Dynamic plasticity and wave phenomena.
fer. Topics covered include mechanisms of heat transfer,          Finite strain plasticity and instability.
conduction, convection and radiation; bioheat equation,           Ramesh 3 hours
analytical and numerical solutions; thermal therapies and
cryopreservation; experimental methods; infrared ther-            530.645 Kinematics
mometry; micro and nanoscale phenomena in bioheat                 A theoretical treatment of the geometry of motion of
transfer. Project. Background in heat transfer is necessary.      rigid bodies, mechanisms, and robotic manipulators. Top-
Herman 3 hours                                                    ics include, but are not limited to, (1) parametrization of
                                                                                    Mechanical Engineering / 555

spherical motion, (2) forward and inverse kinematics of        models that have been developed to describe materials
robotic manipulators.                                          behavior.
Chirikjian 3 hours       fall/even years                       Hemker 3 hours

530.646 Introduction to Robotics                               530.653 Advanced Systems Modeling
Graduate-level introduction to robotics with emphasis          This course covers the following topics at an advanced level:
on the mathematical tools for kinematics and dynamics.         Newton’s laws and kinematics of systems of particles and
Topics include forward and inverse kinematics, trajectory      rigid bodies; Lagrange’s equations for single- and multi-
generation, position sensing and actuation, and manipu-        degree-of-freedom systems composed of point masses;
lator control.                                                 normal mode analysis and forced linear systems with
Okamura, Cowan 3 hours fall                                    damping, the matrix exponential and stability theory for
                                                               linear systems; nonlinear equations of motion: structure,
530.647 Adaptive Systems                                       passivity, PD control, noise models and stochastic equations
Graduate-level introduction to adaptive identification         of motion; manipulator dynamics: Newton-Euler formu-
and control. Emphasis on applications to mechanical sys-       lation, Langrange, Kane’s formulation of dynamics, com-
tems possessing unknown parameters (e.g., mass, inertia,       puting torques with O(n) recursive manipulator dynamics:
friction). Topics include stability of linear and nonlinear    Luh-Walker-Paul, Hollerbach, O(n) dynamic simulation:
dynamical systems, Lyapunov stability, input-output stabil-    Rodrigues-Jain-Kreutz, Saha, Fixman. There is also an
ity, adaptive identification, and direct and indirect adap-    individual course project that each student must do which
tive control.                                                  related the topics of this course to his or her research.
Whitcomb 3 hours spring/even years                             Chirikjian 3 hours
530.648 Group Theory in Engineering Design                     530.656 Mechanisms of Deformation and Fracture
This course is a survey of group theory with an emphasis
                                                               An advanced course on the microscopic mechanisms that
on applications in mechanical design research. In par-
                                                               control the mechanical behavior of materials. Methods
ticular, the representation theory of finite groups, com-
                                                               and techniques for measuring, understanding, and mod-
pact Lie groups, and certain noncompact unimodular
                                                               eling: plasticity, creep, shear banding, and fracture will
groups is reviewed, and Fourier analysis on these groups
                                                               be addressed. Subjects to be covered include dislocation
is applied as a tool in design problems. The concentration
                                                               theory and strengthening mechanisms, high temperature
is on applications in CAD, discrete and computational
                                                               diffusion and grain boundary sliding, shear localization,
geometry, and robotics. Specific applications include
                                                               void formation, ductile rupture, and brittle fracture.
modern interpolation, deformation of solid models, and
                                                               Hemker 3 hours
pattern matching.
Chirikjian 3 hours                                             530.657 Physical Acoustics
530.650 Dynamics and Control of Marine Vehicles                This course provides a foundation for modern acoustics
                                                               including derivation of wave equation and its solution
Seminar on the dynamics, navigation, and control of marine
                                                               in various media, sound radiation, sound propagation,
vehicles. Topics include finite-dimensional approximate
                                                               instrumentation, and sound/structure interaction. Spe-
dynamical models, navigational techniques, and control
                                                               cific applications of focus will be determined by the
methods for surface and underwater vehicles, and historical
                                                               research interests of the students of the class.
overview. Emphasis on underwater robotic vehicles.
Whitcomb 3 hours                                               Staff 3 hours

530.651 Haptics for Teleoperation and Virtual Reality          530.659 Computational Methods of Engineering
Open to undergraduates with permission. Graduate-level         Mathematics
introduction to the field of haptics, focusing on virtual      This graduate course covers the following topics in the
environments that are displayed through the sense of           context of mechanical engineering problems: linear
touch. Topics covered include human haptic sensing             algebra, systems of linear ordinary differential equations,
and control, types of haptic interfaces (tactile and force),   Fourier analysis, Sturm Liouville Theory and Special Func-
haptic rendering and modeling of virtual environments,         tions, curvilinear coordinate systems, stochastic models of
and medical applications such as tele-surgery and surgi-       classical mechanical systems, variational calculus.
cal simulation. Course work includes homework, reading         Chirikjian, Eyink 4 hours fall
and discussion of research papers, presentations, and a
final project. Appropriate for students in any engineer-       530.661 Applied Mathematics for Engineering
ing discipline with interest in virtual reality or computer    This course presents a broad survey of the basic math-
integrated surgical systems.                                   ematical methods used in the solution of ordinary and
Okamura 3 credits fall/even years                              partial differential equations: linear algebra, power series,
                                                               Fourier series, separation of variables, integral transforms.
530.652 Bridging Length Scales in Materials Behavior           Intended for students with the equivalent of four semes-
Addresses the tools needed to bridge the macroscopic,          ters of undergraduate mathematics typical of engineering
continuum, mesoscopic, microscopic, and atomic length          programs.
scales that currently bound the physical theories and          Staff 3 hours spring
556 / Mechanical Engineering

530.671 Statistical Mechanics in Biological Systems             lent. Homework assignments will require programming
Principles of statistical physics are discussed in the con-     in a language of choice, and students will have access to a
text of biological problems. After an introduction, topics      linux cluster as a computational resource.
covered will include equilibrium theory of liquids and          Sun, Bader 3 hours spring
polymers, theory of chemical reactions in complex envi-
ronments, stochastic models, dynamics of membrane and           530.701 Uncertainty Analysis and Downscaling
channels, theory of biological motors, computer simula-         This course will describe several approaches used to infer
tion of liquids and proteins.                                   small-scale information from large-scale observations
Sun 3 hours fall                                                (downscaling). Downscaling is especially useful for multi-
                                                                scale phenomena characterized with power-law spectra
530.672 Biosensing and BioMEMS                                  or fractal geometry. Topics: self-consistency conditions
The course discusses the principles of biosensing and           across length-scales to determine model parameters in
introduces micro- and nano-scale devices for fluidic con-       coarse-grained simulations. Tools for characterizing
trol and molecular/cellular manipulation, measurements          scale-invariant (fractal) processes. Sample applications of
of biological phenomena, and clinical applications.             downscaling as practiced today: of inferring small-scale
Wang 3 hours spring                                             information from large scale-observations is most often
                                                                inherently uncertain. The second part of this course will
530.675 Observer Theory and Application                         explore uncertainty models in the analytical context of
This course addresses in state estimation for finite dimen-     scaling. Topics: assimilation of data and models (Kalman
sional linear and nonlinear dynamical systems. Topics           filtering and related methods for nonlinear models and
include classical observer theory for linear dynamical          very large data sets), statistical analysis of spatial-temporal
systems and Kalman filters as well as more recent devel-        data (independent components analysis, kernel meth-
opments in state estimation techniques for nonlinear            ods). Application to downscaling in atmospheric data.
dynamical systems. Applications to state estimation of          Co-listed with 560.701.
physical systems. Prerequisites: state-space linear control     Igusa, Meneveau 3 hours fall
theory, probability and stochastic processes, linear alge-
bra, and differential equations.                                530.710 Optical Measurement Techniques
Whitcomb 3 hours                                                Optic-based techniques are being utilized as measure-
                                                                ment and data transmission tools in a growing number of
530.676 Sensor-Based Locomotion and Manipulation                applications. The objective of this course is to introduce
Introduction to the mechanics of locomotion and manip-          graduate students with limited background in optics (but
ulation. In this context students will learn topics such as     with background in graduate-level mathematics) to the
Lagrangian and Hamiltonian mechanics, impacts, Poin-            fundamentals of optics and their implementation. Topics
care analysis, nonholonomic mechanics, and friction.            covered include reflection, refraction, fluorescence, phos-
Prerequisite: graduate course in robotics, controls, or         phorescence and diffraction of light; review of geometric
dynamical systems theory; or permission of instructor.          optics, lenses, lens systems (microscope, telescope), mir-
Cowan 3 hours spring/even years                                 rors, prisms; aberrations, astigmatism, coma, and meth-
                                                                ods to correct them; light as an electromagnetic wave;
530.687 Foundations of Computational Biology and                Fourier optics; spectral analysis of optical systems; coher-
Bioinformatics                                                  ent and incoherent imaging, holography, interferometry,
This course presents the fundamental concepts in equilib-       diffraction grating; lasers, polarization, light detectors;
rium and non-equilibrium statistical mechanics and apply        elements of non-liner optics, birefringence; optical fibers,
them to topics in modern molecular computational biol-          data transmission, and networking.
ogy. Monte Carlo and statistical ensembles are presented.       Katz 3 hours
Field theories are introduced to describe the mechanics
of membranes, cytoskeleton and biofluids. Kinetic the-          530.726 Hydrodynamic Stability
ory, master equations and Fokker-Planck equations are           An investigation of the stability of fluid motions. Viscous
discussed in the context of ion channels and molecular          and inviscid theory of linear stability: superposed fluids,
motors.                                                         shear flows, boundary layers, parallel flows. Initial-value
Sun, Bader 3 hours fall                                         problem. Absolute and convective instability. Nonlinear
                                                                stability theory: energy methods, multiple scales, and
530.688 Foundations of Computational Biology and                numerical investigations.
Bioinformatics II                                               Prosperetti 3 hours
This course uses statistical mechanics and information
theory to develop probabilistic models for biological           530.727 Experimental Methods in Fluids
data, with a primary focus on sequence data and graphi-         Measurement techniques in fluid mechanics and their
cal models. Topics will include probability theory, score       applications, limitations and uncertainty are examined.
matrices, hidden Markov models, suffix trees, phyloge-          Velocity measurement techniques include 2-D and ste-
netic inference, random graph theory, and network infer-        reo Particle Image Velocimetry (PIV), holographic PIV
ence. Prerequisites: mathematics through linear algebra         with appropriate background in optics, laser, acoustic,
and differential equations; molecular biology and genet-        and global Doppler Velocimetry, hot wire anemometry,
ics at the level of 580.221 or equivalent; 600.226 or equiva-   and methods based on molecular tagging. Techniques
                                                                                      Mechanical Engineering / 557

for measurements of pressure, sound, and shear-stress            will be explored and emphasized throughout the course.
include piezo-electric, piezo-resistive, and MEMS-based          Examples of topics of interest include dislocation mecha-
sensors.                                                         nisms and the form of plastic constitutive functions, void
Katz 3 hours fall                                                growth, and shear localization.
                                                                 Hemker, Ramesh 2 hours
530.730 Finite Element Methods
The basic concepts of the FEM are presented for one-,            530.756 Advanced Analytical Electron Microscopy
two-, and three-dimensional boundary value problems              This course will focus on the techniques used to per-
(BVPs). Problems from heat conduction and solid                  form analytical electron microscopy. Special emphasis
mechanics are addressed. The key topics include rela-            will be placed on the novel experiments and techniques
tionships between strong, weak, and variational state-           associated with the use of a Gatan Imaging Filter. The
ments of BVPs, weighted residual methods with an                 lectures will cover both the theory and practical aspects
emphasis on the Galerkin method, specialization of               of energy loss spectoscopy and require a strong under-
Galerkin approximations of weak statements and Ritz              standing of the fundamental principles of transmission
approximations of variational statements to obtain finite        electron microscopy. Prerequisites: 270.621, 270.622, or
element formulations, specific element formulations,             equivalent.
convergence properties, solutions of linear systems of           Hemker, Veblen 3 hours
equations, and time-dependent problems.
Staff 3 hours fall                                               530.757 Nanomechanics
                                                                 A research-level course examining the mechanics of nano-
530.732 Fracture of Materials                                    scale assemblies and microscale structures used for inves-
An advanced examination of fracture mechanisms in                tigating nanoscale phenomena. Applications in scanning
ductile and brittle materials. Both the mechanics and the        probe systems, materials, and biology will be of interest.
materials aspects are covered with importance placed on          Each student will be expected to complete a paper on a
the synthesis of the two approaches. Topics include linear       research topic chosen together with the instructor.
elastic fracture mechanics, ductile fracture, the J-integral,    Ramesh 3 hours fall
atomistic aspects of fracture in polycrystalline materials,
fracture in ceramics and polymers, influence of the mate-        530.759 Research Seminar in Plasticity and Failure
rial microstructure on fracture toughness and ductility in       A weekly research seminar featuring ongoing research
FCC and BCC materials.                                           as well as reviews of new papers of interest in the gen-
Hemker 3 hours                                                   eral areas of plasticity and failure. The course will have
                                                                 an emphasis on dynamic phenomena, but will consider
530.748 Stress Waves, Impact, and Shocks
                                                                 both engineering materials and biological systems. Stu-
Elastic waves in unbounded media. Elastic waveguides.
                                                                 dents will be expected to make two presentations during
Waves in elastic-plastic and nonlinear elastic materials.
                                                                 the semester.
Analysis of impact on materials and structures. Impact
                                                                 Ramesh 2 hours
on various scales, from planetary to microscopic. Shock
waves. Impact signatures in materials (time permitting).         530.761 Mathematical Methods of Engineering
Ramesh 3 hours                                                   This is the first part of a two-semester course (with
530.754 Viscoelasticity                                          530.762) which presents mathematical methods of engi-
The linear theory of viscoelasticity is considered. The          neering with a focus on complex analysis and partial
basic mathematical tools (e.g., Laplace transforms) are          differential equations. Specific topics include analytic
first introduced, and then integrated into a continuum           functions, the theory of residues, contour integrals, series
mechanics-oriented description of the response of vis-           solution of second order ODEs, special functions and
coelastic materials. Stress relaxation and creep phenom-         their applications, integral transformations.
ena are described; the complex moduli are developed,             Staff 3 hours
with specific reference to the physical mechanism associ-
ated with the frequency dependence of the properties.            530.762 Advanced Mathematical Methods of
Techniques for measurement of linear viscoelastic prop-          Engineering
erties are discussed. Wave propogation in viscoelastic           A unified view of the classical methods of applied mathe-
solids is examined. A number of initial-boundary value           matics based on the theory of finite-dimensional and Hil-
problems are solved to illustrate the theory.                    bert spaces. Matrix theory, systems of ordinary differential
Ramesh 3 hours                                                   equations, Fourier series, eigenfunction expansions.
                                                                 Green’s functions. Designed to follow either 530.661 or
530.755 Readings at the Mechanics and Materials                  530.761.
Interface                                                        Prosperetti 3 hours spring
Selected articles on the general topic of plasticity and fail-
ure will be reviewed and discussed in an open class format.      530.763 Topics in Complex Systems: Chaos, Fractals
Papers from each discipline will be covered, and a serious       and Self-Organization
attempt will be made to link the mechanics and materi-           Chaos in low-dimensional dynamical systems: maps and
als approaches. The interplay between continuum-level            ordinary differential equations. Lagrangian chaos and
mechanics and microstructural-level materials behavior           mixing in two-dimensional laminar flows. Fractal geome-
558 / Mechanical Engineering

try, Julia sets, collage theorem, multifractals. Applications   530.777 Multi-Phase Flow
to growth processes, turbulence, and Brownian motion.           An introduction to basic contemporary ideas concerning
Self-organized criticality.                                     gas, liquid, and solid-fluid two-phase flows.
Meneveau 3 hours fall/odd years                                 Prosperetti 3 hours

530.764 Perturbation Methods                                    530.778 Special Topics
A study of various asymptotic methods for the approximate       Staff 1-3 hours
solution of ordinary and partial differential equations.        530.800 Independent Study
Representative topics include the regular perturbation          Staff 1-3 hours
method, the method of strained coordinates, the multi-
scale method, singular perturbation theory, WKBJ theory,        530.801-802 Graduate Research
turning-point problems, etc. Prerequisites: ordinary and        Staff 1-3 hours
partial differential equations.
                                                                530.803-804 Mechanical Engineering Research Seminar
Prosperetti 3 hours
                                                                Staff 1 hour
530.766 Numerical Methods                                       530.807-808 Graduate Seminar in Fluid Mechanics
Elementary introduction to numerical methods for the            Meneveau 1 hour
solution of fundamental problems in engineering. Com-
puter assignments requiring programming.
Knio 3 hours fall                                               Cross-listed
                                                                270.621 Transmission Electron Microscopy: Practice
530.767 Computational Fluid Dynamics
                                                                and Applications
Advanced introduction to major approaches in the simu-
                                                                fall/even years
lation of the incompressible flow: finite-difference, finite-
element, finite-volume, boundary-element, spectral, and         270.622 Transmission Electron Microscopy: Theory
Lagrangian discretizations. Computer project requiring          and Understanding
programming.                                                    spring/odd years
Chen, Knio 3 hours spring
                                                                500.601-602 Seminars in Environmental and Applied
530.768 Topics in Low-Mach-Number Flows                         Fluid Mechanics
Contents vary from year to year. Topics include stratified
                                                                520/580.672 Biosensing and BioMEMS
free-shear flows, buoyancy-induced flows, Rayleigh-Taylor
instability, internal gravity waves, zero and low-Mach num-     560.201 Statics and Mechanics of Materials
ber combustion, sound generation by vortical flow, flow
acoustics interactions. Prerequisite: 530.621.                  560.202 Dynamics
Knio 3 hours                                                    560.730 Finite Element Methods
530.771 Orientational Phenomena                                 580.448 Biomechanics of the Cell and Organisms
This advanced graduate course covers a diverse set of top-
ics including rotational Brownian motion and diffusion;         580.687-688 Foundations of Computational Biology
statistical mechanics of macromolecules; and applications       and Bioinformatics
of group-theoretic ideas in mechanics.
                                                                600.651 Haptic Systems for Teleoperation and Virtual
Chirikjian 3 hours
530.773 Topics in Applied Mathematics for
The material covered in this course depends on the class’s
and instructor’s interests. Topics include multiple-scale
methods applied to non-linear oscillations and wave
propogation, homogenization, singular perturbations,
non-linear waves, complex variables and conformal map-
ping, calculus of variations, and others.
Prosperetti 3 hours
                                                                 Mechanical Engineering / 559

Mechanical Engineering            530.343     Design and Analysis of Dynamic Systems
                                  530.420     Robot Actuators and Sensors
                                  530.421     Mechatronics
                                  530.424     Dynamics of Robots and Spacecraft
                                  530.645     Kinematics
                                  530.646     Introduction to Robotics
                                  530.651     Haptics for Teleoperation and Virtual Reality
                                  530.676     Sensor-Based Locomotion and Manipulation

Computer Science                  600.435     Artificial Intelligence
                                  600.445-6   Computer-Integrated Surgery I and II
                                  600.452     Computer-Integrated Surgery Seminar
                                  600.461     Computer Vision
                                  600.462     Advanced Topics in Computer Vision
                                  600.646     Advanced Computer-Integrated Surgery II
                                  600.652     Advanced Computer-Integrated Surgery Seminar

Electrical/Computer Engineering   520.214     Signals and Systems
                                  520.454     Control Systems Design

Biomedical Engineering            580.631     Biomechanics and Motor Control