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```					Tahsin Tezdoğan

SHIP DESIGN FOR SEAKEEPING

Assignment : Prediction of heave and pitch transfer functions of a
patrol boat design

Calculate the heave and pitch transfer functions of given patrol boat design for specified
range of frequencies.

Given: The main particulars of the parent and alternative designs are given below. The
alternative design is a lengthened version of the parent form which was obtained by
reducing the length by 15 percent.

Parent Design     Variant Design
Length (m)          78.00             66.3
Draught (m)         3.22              3.22
Displacement(t)     1172              996
LCB (m)             %3L kıç           %3L kıç
kYY (%L)            25                25
Hız (Knot)          20                20
LCB (m)             %3L kıç           %3L kıç

Added mass, damping and exciting force components in head seas are given in the
following tables.

1. Set the equations for heave and pitch.
2. Calculate real and imaginary parts of heave and pitch amplitudes for each wave
frequency and for each design.
3. Calculate heave and pitch amplitudes and phases for each design.
4. Plot heave and pitch amplitudes for each design against wavelength/ship length ratio
or encounter frequency in a comparative manner.
5. Compare the heave and pitch beahviour of parent and variant design in waves. Do
Parent Design

WL/SL    WO      WE      WN        A33       B33        C33
=====================================================================
.400   1.405   3.477    .201   .317E+04   .932E+03   .656E+04
.600   1.147   2.529    .134   .293E+04   .121E+04   .656E+04
.800    .994   2.030    .101   .282E+04   .170E+04   .656E+04
1.000    .889   1.718    .081   .280E+04   .202E+04   .656E+04
1.200    .811   1.502    .067   .283E+04   .223E+04   .656E+04
1.400    .751   1.343    .058   .290E+04   .236E+04   .656E+04
1.600    .703   1.221    .050   .298E+04   .244E+04   .656E+04
1.800    .662   1.123    .045   .307E+04   .248E+04   .656E+04
2.000    .628   1.043    .040   .317E+04   .250E+04   .656E+04
2.200    .599    .976    .037   .327E+04   .251E+04   .656E+04
2.400    .574    .919    .034   .338E+04   .251E+04   .656E+04
2.600    .551    .870    .031   .348E+04   .250E+04   .656E+04
2.800    .531    .827    .029   .358E+04   .248E+04   .656E+04
3.000    .513    .789    .027   .368E+04   .246E+04   .656E+04
3.500    .475    .712    .023   .391E+04   .240E+04   .656E+04
4.000    .444    .652    .020   .413E+04   .234E+04   .656E+04
5.000    .397    .563    .016   .454E+04   .221E+04   .656E+04
=====================================================================
WL/SL    WO      WE      WN        A35       B35        C35
=====================================================================
.400   1.405   3.477    .201   .121E+05   .271E+05   .238E+05
.600   1.147   2.529    .134   .103E+05   .260E+05   .238E+05
.800    .994   2.030    .101   .756E+04   .275E+05   .238E+05
1.000    .889   1.718    .081   .486E+04   .287E+05   .238E+05
1.200    .811   1.502    .067   .205E+04   .298E+05   .238E+05
1.400    .751   1.343    .058 -.827E+03    .309E+05   .238E+05
1.600    .703   1.221    .050 -.373E+04    .321E+05   .238E+05
1.800    .662   1.123    .045 -.665E+04    .331E+05   .238E+05
2.000    .628   1.043    .040 -.956E+04    .342E+05   .238E+05
2.200    .599    .976    .037 -.125E+05    .352E+05   .238E+05
2.400    .574    .919    .034 -.153E+05    .362E+05   .238E+05
2.600    .551    .870    .031 -.182E+05    .372E+05   .238E+05
2.800    .531    .827    .029 -.210E+05    .381E+05   .238E+05
3.000    .513    .789    .027 -.238E+05    .390E+05   .238E+05
3.500    .475    .712    .023 -.307E+05    .410E+05   .238E+05
4.000    .444    .652    .020 -.374E+05    .430E+05   .238E+05
5.000    .397    .563    .016 -.503E+05    .464E+05   .238E+05

=====================================================================
WL/SL    WO      WE      WN         A53         B53       C53
=====================================================================
.400   1.405   3.477    .201    .137E+05 -.135E+05     .238E+05
.600   1.147   2.529    .134    .142E+05 -.962E+04     .238E+05
.800    .994   2.030    .101    .160E+05 -.596E+04     .238E+05
1.000    .889   1.718    .081    .189E+05 -.434E+04     .238E+05
1.200    .811   1.502    .067    .223E+05 -.386E+04     .238E+05
1.400    .751   1.343    .058    .261E+05 -.404E+04     .238E+05
1.600    .703   1.221    .050    .299E+05 -.464E+04     .238E+05
1.800    .662   1.123    .045    .339E+05 -.548E+04     .238E+05
2.000    .628   1.043    .040    .378E+05 -.647E+04     .238E+05
2.200    .599    .976    .037    .418E+05 -.754E+04     .238E+05
2.400    .574    .919    .034    .458E+05 -.866E+04     .238E+05
2.600    .551    .870    .031    .497E+05 -.980E+04     .238E+05
2.800    .531    .827    .029    .535E+05 -.109E+05     .238E+05
3.000    .513    .789    .027    .574E+05 -.121E+05     .238E+05
3.500    .475    .712    .023    .667E+05 -.148E+05     .238E+05
4.000    .444    .652    .020    .758E+05 -.175E+05     .238E+05
5.000    .397    .563    .016    .929E+05 -.223E+05     .238E+05
=====================================================================
WL/SL    WO      WE      WN         A55        B55        C55
=====================================================================
.400   1.405   3.477    .201    .105E+07    .407E+06   .246E+07
.600   1.147   2.529    .134    .103E+07    .579E+06   .246E+07
.800    .994   2.030    .101    .103E+07    .752E+06   .246E+07
1.000    .889   1.718    .081    .105E+07    .866E+06   .246E+07
1.200    .811   1.502    .067    .110E+07    .946E+06   .246E+07
1.400    .751   1.343    .058    .115E+07    .101E+07   .246E+07
1.600    .703   1.221    .050    .121E+07    .105E+07   .246E+07
1.800    .662   1.123    .045    .128E+07    .109E+07   .246E+07
2.000    .628   1.043    .040    .135E+07    .113E+07   .246E+07
2.200    .599    .976    .037    .143E+07    .116E+07   .246E+07
2.400    .574    .919    .034    .151E+07    .118E+07   .246E+07
2.600    .551    .870    .031    .159E+07    .121E+07   .246E+07
2.800    .531    .827    .029    .167E+07    .123E+07   .246E+07
3.000    .513    .789    .027    .176E+07    .126E+07   .246E+07
3.500    .475    .712    .023    .199E+07    .131E+07   .246E+07
4.000    .444    .652    .020    .223E+07    .137E+07   .246E+07
5.000    .397    .563    .016    .275E+07    .147E+07   .246E+07
=====================================================================
WL/SL    WO      WE         F3R         F3I         F5R       F5I
=====================================================================
.400   1.405   3.477   .133E+03    .409E+01 -.175E+05 -.891E+03
.600   1.147   2.529 -.862E+03     .230E+02    .919E+04 -.111E+04
.800    .994   2.030 -.547E+03 -.209E+03       .158E+05 -.255E+05
1.000    .889   1.718   .561E+03 -.172E+03      .156E+05 -.442E+05
1.200    .811   1.502   .162E+04 -.277E+02      .130E+05 -.536E+05
1.400    .751   1.343   .246E+04    .124E+03    .985E+04 -.575E+05
1.600    .703   1.221   .311E+04    .251E+03    .683E+04 -.586E+05
1.800    .662   1.123   .360E+04    .350E+03    .424E+04 -.583E+05
2.000    .628   1.043   .399E+04    .424E+03    .211E+04 -.574E+05
2.200    .599    .976   .429E+04    .478E+03    .416E+03 -.563E+05
2.400    .574    .919   .453E+04    .518E+03 -.923E+03 -.550E+05
2.600    .551    .870   .473E+04    .546E+03 -.197E+04 -.537E+05
2.800    .531    .827   .489E+04    .565E+03 -.277E+04 -.524E+05
3.000    .513    .789   .503E+04    .578E+03 -.338E+04 -.512E+05
3.500    .475    .712   .528E+04    .593E+03 -.429E+04 -.485E+05
4.000    .444    .652   .547E+04    .592E+03 -.462E+04 -.462E+05
5.000    .397    .563   .570E+04    .570E+03 -.441E+04 -.425E+05
=====================================================================
Variant Design
=====================================================================
WL/SL    WO      WE      WN      A33         B33        C33
=====================================================================
.400  1.524   3.962    .237   .277E+04   .208E+03   .557E+04
.600  1.245   2.870    .158   .258E+04   .786E+03   .557E+04
.800  1.078   2.297    .118   .244E+04   .122E+04   .557E+04
1.000    .964   1.939    .095   .239E+04   .152E+04   .557E+04
1.200    .880   1.693    .079   .238E+04   .174E+04   .557E+04
1.400    .815   1.511    .068   .240E+04   .188E+04   .557E+04
1.600    .762   1.371    .059   .245E+04   .199E+04   .557E+04
1.800    .719   1.260    .053   .251E+04   .205E+04   .557E+04
2.000    .682   1.169    .047   .257E+04   .209E+04   .557E+04
2.200    .650   1.093    .043   .264E+04   .212E+04   .557E+04
2.400    .622   1.029    .039   .271E+04   .213E+04   .557E+04
2.600    .598    .973    .036   .279E+04   .213E+04   .557E+04
2.800    .576    .924    .034   .286E+04   .213E+04   .557E+04
3.000    .557    .882    .032   .293E+04   .212E+04   .557E+04
3.500    .515    .794    .027   .311E+04   .209E+04   .557E+04
4.000    .482    .726    .024   .329E+04   .205E+04   .557E+04
5.000    .431    .626    .019   .360E+04   .196E+04   .557E+04
=====================================================================

=====================================================================
WL/SL    WO      WE      WN       A35       B35         C35
=====================================================================
.400   1.524   3.962    .237   .105E+05   .167E+05   .172E+05
.600   1.245   2.870    .158   .890E+04   .208E+05   .172E+05
.800   1.078   2.297    .118   .625E+04   .215E+05   .172E+05
1.000    .964   1.939    .095   .436E+04   .222E+05   .172E+05
1.200    .880   1.693    .079   .237E+04   .229E+05   .172E+05
1.400    .815   1.511    .068   .308E+03   .236E+05   .172E+05
1.600    .762   1.371    .059 -.181E+04    .244E+05   .172E+05
1.800    .719   1.260    .053 -.395E+04    .252E+05   .172E+05
2.000    .682   1.169    .047 -.611E+04    .260E+05   .172E+05
2.200    .650   1.093    .043 -.827E+04    .267E+05   .172E+05
2.400    .622   1.029    .039 -.104E+05    .275E+05   .172E+05
2.600    .598    .973    .036 -.126E+05    .282E+05   .172E+05
2.800    .576    .924    .034 -.147E+05    .289E+05   .172E+05
3.000    .557    .882    .032 -.168E+05    .296E+05   .172E+05
3.500    .515    .794    .027 -.221E+05    .313E+05   .172E+05
4.000    .482    .726    .024 -.272E+05    .329E+05   .172E+05
5.000    .431    .626    .019 -.371E+05    .357E+05   .172E+05
=====================================================================
=====================================================================
WL/SL     WO      WE      WN        A53       B53       C53
=====================================================================
.400   1.524   3.962    .237  .108E+05 -.193E+05    .172E+05
.600   1.245   2.870    .158  .109E+05 -.113E+05    .172E+05
.800   1.078   2.297    .118  .110E+05 -.783E+04    .172E+05
1.000     .964   1.939    .095  .127E+05 -.603E+04    .172E+05
1.200     .880   1.693    .079  .148E+05 -.518E+04    .172E+05
1.400     .815   1.511    .068  .173E+05 -.493E+04    .172E+05
1.600     .762   1.371    .059  .199E+05 -.508E+04    .172E+05
1.800     .719   1.260    .053  .226E+05 -.548E+04    .172E+05
2.000     .682   1.169    .047  .254E+05 -.604E+04    .172E+05
2.200     .650   1.093    .043  .282E+05 -.671E+04    .172E+05
2.400     .622   1.029    .039  .310E+05 -.744E+04    .172E+05
2.600     .598    .973    .036  .338E+05 -.822E+04    .172E+05
2.800     .576    .924    .034  .366E+05 -.902E+04    .172E+05
3.000     .557    .882    .032  .394E+05 -.983E+04    .172E+05
3.500     .515    .794    .027  .462E+05 -.119E+05    .172E+05
4.000     .482    .726    .024  .529E+05 -.138E+05    .172E+05
5.000     .431    .626    .019  .656E+05 -.175E+05    .172E+05
=====================================================================
WL/SL     WO      WE      WN       A55       B55          C55
=====================================================================
.400   1.524   3.962    .237  .700E+06   .834E+05   .151E+07
.600   1.245   2.870    .158  .656E+06   .279E+06   .151E+07
.800   1.078   2.297    .118  .635E+06   .411E+06   .151E+07
1.000     .964   1.939    .095  .644E+06   .494E+06   .151E+07
1.200     .880   1.693    .079  .663E+06   .555E+06   .151E+07
1.400     .815   1.511    .068  .690E+06   .603E+06   .151E+07
1.600     .762   1.371    .059  .723E+06   .642E+06   .151E+07
1.800     .719   1.260    .053  .760E+06   .675E+06   .151E+07
2.000     .682   1.169    .047  .800E+06   .704E+06   .151E+07
2.200     .650   1.093    .043  .842E+06   .730E+06   .151E+07
2.400     .622   1.029    .039  .888E+06   .754E+06   .151E+07
2.600     .598    .973    .036  .935E+06   .777E+06   .151E+07
2.800     .576    .924    .034  .985E+06   .798E+06   .151E+07
3.000     .557    .882    .032  .104E+07   .819E+06   .151E+07
3.500     .515    .794    .027  .117E+07   .868E+06   .151E+07
4.000     .482    .726    .024  .132E+07   .914E+06   .151E+07
5.000     .431    .626    .019  .164E+07   .100E+07   .151E+07
=====================================================================
WL/SL     WO      WE        F3R        F3I        F5R       F5I
=====================================================================
.400    1.524   3.962   .341E+03 -.412E+02 -.249E+05 -.826E+04
.600    1.245   2.870 -.593E+03    .448E+02   .138E+05   .170E+03
.800    1.078   2.297 -.582E+03 -.153E+03     .133E+05 -.130E+05
1.000     .964   1.939   .312E+03 -.145E+03    .117E+05 -.271E+05
1.200     .880   1.693   .122E+04 -.235E+02    .914E+04 -.348E+05
1.400     .815   1.511   .195E+04   .116E+03   .643E+04 -.384E+05
1.600     .762   1.371   .252E+04   .239E+03   .392E+04 -.398E+05
1.800     .719   1.260   .296E+04   .338E+03   .173E+04 -.401E+05
2.000     .682   1.169   .330E+04   .413E+03 -.906E+02 -.398E+05
2.200     .650   1.093   .357E+04   .470E+03 -.158E+04 -.392E+05
2.400     .622   1.029   .378E+04   .512E+03 -.279E+04 -.385E+05
2.600     .598    .973   .396E+04   .543E+03 -.376E+04 -.378E+05
2.800     .576    .924   .410E+04   .565E+03 -.453E+04 -.371E+05
3.000     .557    .882   .422E+04   .580E+03 -.513E+04 -.364E+05
3.500     .515    .794   .445E+04   .599E+03 -.612E+04 -.348E+05
4.000     .482    .726   .461E+04   .601E+03 -.659E+04 -.335E+05
5.000     .431    .626   .482E+04   .584E+03 -.671E+04 -.313E+05
=====================================================================

```
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