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Demo

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12/6/2011
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Second-Order System Demo



Parameters

Damping Ratio, z 0.5 0.6

Natural Freq, wn 1 1 Hz

Vary the damping ratio to find the shortest settl

Step input magnitude 2 2 Note what happens to the settling time when yo

Natural Freq, wd 0.866 0.800 Hz Note what happens to the settling time when yo

Settling Time 4.640 2.320 sec

Rise Time 2.240 2.480

dt 0.080 sec



time Response

0 0 0 0 0 2.48

0.08 0.08 0.08 0.006229387 0.006197

0.16 0.16 0.16 Order System Reponse

Second 0.024236368 0.023987

0.24 0.24 0.24 0.053004741 0.0522

2.5 0.32 0.32 0.32 0.09153028 0.089711

0.4 0.4 0.4 0.138825987 0.13544

0.48 0.48 0.48 0.193926832 0.188355

2 0.56 0.56 0.56 0.255894 0.247475

0.64 0.64 0.64 0.323818646 0.311873

0.72 0.72 0.72 0.396825176 0.380673

0.8 0.8 0.8 0.474074075 0.453051

Response









1.5

0.88 0.88 0.88 0.554764293 0.528239

0.96 0.96 0.96 0.638135214 0.605521

1.04 1.04 1.04 0.723468218 0.684235

1 1.12 1.12 1.12 0.810087877 0.763768 Bounds 0.9

1.2 1.2 1.2 0.897362782 0.843561 x y

1.28 1.28 1.28 0.984706039 0.923103 0 1.8

0.5 1.36 1.36 1.36 1.071575459 1.001933 11.36 1.8

1.44 1.44 1.44 1.15747345 1.079634

1.52 1.52 1.52 1.241946648 1.155836

0 1.6 1.6 1.6 1.324585305 1.230211

0 1.68 2 1.68 6

4 1.68 1.405022453 1.302474 8 10

1.76 1.76 Time (sec) 1.372376

1.76 1.482932872

1.84 1.84 1.84 1.558031878 1.439708

1.92 1.92 1.92 1.630073959 1.504294

2 2 2 1.69885127 1.565991

2.08 2.08 2.08 1.764192015 1.624688

0 2.16 2.16 1.825958734 1.6803

0 2.24 2.24 1.884046506 1.732773

0 2.32 2.32 1.938381092 1.782072

0 0 2.4 1.988917033 1.828187

0 0 2.48 2.035635717 1.87113

0 0 2.56 2.078543432 1.910927

0 0 2.64 2.117669405 1.947625

0 0 2.72 2.153063868 1.981283

0 0 2.8 2.184796129 2.011974

2.88 0 2.88 2.212952679 2.039783

2.96 0 2.96 2.237635343 2.064804

3.04 0 3.04 2.258959471 2.087139

3.12 0 3.12 2.277052192 2.106899

3.2 0 3.2 2.292050723 2.124197

3.28 0 3.28 2.304100757 2.139155

3.36 0 3.36 2.313354906 2.151895

3.44 0 3.44 2.319971241 2.162542

3.52 0 3.52 2.324111893 2.171223

3.6 0 3.6 2.325941746 2.178065

3.68 0 3.68 2.325627215 2.183195

3.76 0 3.76 2.323335102 2.186738

3.84 0 3.84 2.31923154 2.188818

3.92 0 3.92 2.313481027 2.189556

4 0 4 2.306245537 2.18907

4.08 0 4.08 2.29768372 2.187475

4.16 0 4.16 2.287950182 2.184883

4.24 0 4.24 2.277194845 2.181401

4.32 0 4.32 2.265562387 2.177131

4.4 0 4.4 2.253191753 2.172171

4.48 0 4.48 2.240215744 2.166616

4.56 0 4.56 2.226760673 2.160552

4.64 0 4.64 2.212946086 2.154065

0 0 4.72 2.198884546 2.147231

0 0 4.8 2.184681484 2.140125

0 0 4.88 2.170435092 2.132815

0 0 4.96 2.15623628 2.125364

0 0 5.04 2.142168675 2.117831

0 0 5.12 2.12830867 2.110268

0 0 5.2 2.114725506 2.102725

0 0 5.28 2.1014814 2.095246

0 0 5.36 2.088631701 2.087871

0 0 5.44 2.076225079 2.080635

0 0 5.52 2.064303736 2.073569

0 0 5.6 2.052903647 2.066702

0 0 5.68 2.042054819 2.060056

0 0 5.76 2.03178156 2.053652

0 0 5.84 2.022102772 2.047507

0 0 5.92 2.01303225 2.041635

0 0 6 2.004578988 2.036047

0 0 6.08 1.996747495 2.03075

0 0 6.16 1.98953811 2.02575

0 0 6.24 1.982947323 2.021052

0 0 6.32 1.976968089 2.016654

0 0 6.4 1.971590147 2.012558

0 0 6.48 1.966800328 2.00876

0 0 6.56 1.96258286 2.005256

0 0 6.64 1.958919665 2.002041

0 0 6.72 1.955790648 1.999108

0 0 6.8 1.953173974 1.996449

0 0 6.88 1.951046338 1.994055

0 0 6.96 1.949383221 1.991916

0 0 7.04 1.948159133 1.990022

0 0 7.12 1.947347845 1.988363

0 0 7.2 1.946922605 1.986926

0 0 7.28 1.946856349 1.985701

0 0 7.36 1.947121882 1.984675

0 0 7.44 1.947692064 1.983836

0 0 7.52 1.948539967 1.983173

0 0 7.6 1.949639026 1.982673

0 0 7.68 1.950963175 1.982325

0 0 7.76 1.952486968 1.982116

0 0 7.84 1.954185689 1.982035

0 0 7.92 1.956035445 1.982072

0 0 8 1.958013254 1.982214

0 0 8.08 1.960097111 1.982452

0 0 8.16 1.962266053 1.982775

0 0 8.24 1.964500205 1.983173

0 0 8.32 1.96678082 1.983638

0 0 8.4 1.969090304 1.98416

0 0 8.48 1.971412241 1.984731

0 0 8.56 1.9737314 1.985343

0 0 8.64 1.976033738 1.985988

0 0 8.72 1.978306394 1.986659

0 0 8.8 1.98053768 1.987351

0 0 8.88 1.982717059 1.988056

0 0 8.96 1.984835124 1.988769

0 0 9.04 1.98688357 1.989486

0 0 9.12 1.988855156 1.990201

0 0 9.2 1.990743672 1.990911

0 0 9.28 1.992543893 1.991611

0 0 9.36 1.994251543 1.992298

0 0 9.44 1.995863241 1.992969

0 0 9.52 1.997376456 1.993622

0 0 9.6 1.998789457 1.994254

0 0 9.68 2.000101263 1.994863

0 0 9.76 2.001311591 1.995447

0 0 9.84 2.002420801 1.996006

0 0 9.92 2.003429849 1.996538

0 0 10 2.004340233 1.997043

0 0 10.08 2.005153943 1.997519

0 0 10.16 2.005873408 1.997967

0 0 10.24 2.006501452 1.998386

0 0 10.32 2.007041242 1.998777

0 0 10.4 2.007496246 1.999139

0 0 10.48 2.007870185 1.999474

0 0 10.56 2.008166993 1.999781

0 0 10.64 2.008390775 2.000061

0 0 10.72 2.00854577 2.000316

0 0 10.8 2.008636315 2.000545

0 0 10.88 2.008666807 2.000749

0 0 10.96 2.008641676 2.000931

0 0 11.04 2.008565354 2.00109

0 0 11.12 2.008442245 2.001228

0 0 11.2 2.008276703 2.001346

0 0 11.28 2.008073008 2.001445

0 0 11.36 2.007835345 2.001526

atio to find the shortest settling time

to the settling time when you change the step input magnitude!

to the settling time when you change the natural frequency!









2.32









1.1 Settling Time

x y

2.2 4.64 2.198885

2.2 4.64 0

2.320 1.828187

2.320 0



10 12

2nd Order

Point Number Time Model Standard 2nd Order Model

0 0 1 Static Sensitivity, K 1

1 0.00005 0.99929568 Step Function Amplitude, A -1

2 0.0001 0.99720823 Start Time, T0 0

3 0.00015 0.99377658 Step Function Initial Value, Y0 1

4 0.0002 0.98904058 Step Function Final Value, Y∞ 0

5 0.00025 0.98304082 Damping Ratio, z 0.35

6 0.0003 0.97581863 Natural Freq wn (hertz) 120

7 0.00035 0.96741599 Natural Freq wn (radians/s) 754

8 0.0004 0.95787542 Ringing Freq wd (radians/s) 706.2926

9 0.00045 0.94723993 Ringing Freq wd (Hertz) 112.41

10 0.0005 0.93555296 Ringing Period, Td (sec) 0.008896

11 0.00055 0.92285829 Rise Time, Tr (sec) 0.002224

12 0.0006 0.90919996

13 0.00065 0.89462223 Data Sampling Rate (Hertz) 20000

14 0.0007 0.87916949 DT (seconds) 0.00005

15 0.00075 0.86288619

16 0.0008 0.84581681

17 0.00085 0.82800575

18 0.0009 0.80949732

19 0.00095 0.79033563

20 0.001 0.77056457

21 0.00105 0.75022774

22 0.0011 0.7293684

23 0.00115 0.70802941

24 0.0012 0.68625319

25 0.00125 0.66408166

26 0.0013 0.64155622

27 0.00135 0.61871767

28 0.0014 0.59560621

29 0.00145 0.57226134

30 0.0015 0.5487219

31 0.00155 0.52502596

32 0.0016 0.50121083

33 0.00165 0.47731301

34 0.0017 0.45336818

35 0.00175 0.42941113

36 0.0018 0.4054758

37 0.00185 0.38159517

38 0.0019 0.35780132

39 0.00195 0.33412536

40 0.002 0.31059742

41 0.00205 0.28724665

42 0.0021 0.26410117

43 0.00215 0.2411881

44 0.0022 0.21853353

45 0.00225 0.1961625

46 0.0023 0.17409898

47 0.00235 0.15236593

48 0.0024 0.13098521

49 0.00245 0.10997763

50 0.0025 0.08936294

51 0.00255 0.06915981

52 0.0026 0.04938586

53 0.00265 0.03005765

54 0.0027 0.01119067

55 0.00275 -0.00720063

56 0.0028 -0.02510284

57 0.00285 -0.0425036

58 0.0029 -0.05939156

59 0.00295 -0.07575639

60 0.003 -0.09158876

61 0.00305 -0.10688035

62 0.0031 -0.12162378

63 0.00315 -0.13581265

64 0.0032 -0.14944151

65 0.00325 -0.16250584

66 0.0033 -0.175002

67 0.00335 -0.18692728

68 0.0034 -0.19827981

69 0.00345 -0.20905859

70 0.0035 -0.21926345

71 0.00355 -0.22889502

72 0.0036 -0.23795473

73 0.00365 -0.24644476

74 0.0037 -0.25436805

75 0.00375 -0.26172823

76 0.0038 -0.26852966

77 0.00385 -0.27477735

78 0.0039 -0.28047695

79 0.00395 -0.28563475

80 0.004 -0.29025763

81 0.00405 -0.29435303

82 0.0041 -0.29792895

83 0.00415 -0.3009939

84 0.0042 -0.30355689

85 0.00425 -0.30562741

86 0.0043 -0.30721536

87 0.00435 -0.3083311

88 0.0044 -0.30898535

89 0.00445 -0.30918923

90 0.0045 -0.30895416

91 0.00455 -0.30829192

92 0.0046 -0.30721456

93 0.00465 -0.3057344

94 0.0047 -0.303864

95 0.00475 -0.30161616

96 0.0048 -0.29900385

97 0.00485 -0.29604024

98 0.0049 -0.29273862

99 0.00495 -0.28911244

100 0.005 -0.28517522

101 0.00505 -0.2809406

102 0.0051 -0.27642226

103 0.00515 -0.27163392

104 0.0052 -0.26658932

105 0.00525 -0.26130223

106 0.0053 -0.25578637

107 0.00535 -0.25005544

108 0.0054 -0.24412306

109 0.00545 -0.23800282

110 0.0055 -0.23170818

111 0.00555 -0.22525251

112 0.0056 -0.21864907

113 0.00565 -0.21191097

114 0.0057 -0.20505115

115 0.00575 -0.19808241

116 0.0058 -0.19101737

117 0.00585 -0.18386843

118 0.0059 -0.17664781

119 0.00595 -0.16936751

120 0.006 -0.16203928

121 0.00605 -0.15467465

122 0.0061 -0.14728491

123 0.00615 -0.13988106

124 0.0062 -0.13247386

125 0.00625 -0.12507378

126 0.0063 -0.11769103

127 0.00635 -0.11033549

128 0.0064 -0.10301678

129 0.00645 -0.0957442

130 0.0065 -0.08852675

131 0.00655 -0.08137312

132 0.0066 -0.07429168

133 0.00665 -0.06729048

134 0.0067 -0.06037724

135 0.00675 -0.05355938

136 0.0068 -0.04684396

137 0.00685 -0.04023775

138 0.0069 -0.03374716

139 0.00695 -0.02737828

140 0.007 -0.02113688

141 0.00705 -0.01502839

142 0.0071 -0.00905791

143 0.00715 -0.00323022

144 0.0072 0.00245022

145 0.00725 0.00797928

146 0.0073 0.01335315

147 0.00735 0.01856833

148 0.0074 0.02362165

149 0.00745 0.02851023

150 0.0075 0.0332315

151 0.00755 0.03778321

152 0.0076 0.04216338

153 0.00765 0.04637034

154 0.0077 0.0504027

155 0.00775 0.05425935

156 0.0078 0.05793946

157 0.00785 0.06144247

158 0.0079 0.06476808

159 0.00795 0.06791623

160 0.008 0.07088715

161 0.00805 0.07368127

162 0.0081 0.07629929

163 0.00815 0.07874211

164 0.0082 0.08101088

165 0.00825 0.08310694

166 0.0083 0.08503187

167 0.00835 0.0867874

168 0.0084 0.08837549

169 0.00845 0.08979828

170 0.0085 0.09105808

171 0.00855 0.09215736

172 0.0086 0.09309876

173 0.00865 0.09388508

174 0.0087 0.09451924

175 0.00875 0.09500433

176 0.0088 0.09534355

177 0.00885 0.09554021

178 0.0089 0.09559776

179 0.00895 0.09551974

180 0.009 0.09530979

181 0.00905 0.09497163

182 0.0091 0.09450909

183 0.00915 0.09392605

184 0.0092 0.09322647

185 0.00925 0.09241435

186 0.0093 0.09149378

187 0.00935 0.09046887

188 0.0094 0.08934378

189 0.00945 0.08812268

190 0.0095 0.0868098

191 0.00955 0.08540936

192 0.0096 0.08392561

193 0.00965 0.0823628

194 0.0097 0.08072518

195 0.00975 0.079017

196 0.0098 0.07724249

197 0.00985 0.07540586

198 0.0099 0.07351131

199 0.00995 0.07156301

200 0.01 0.06956508

201 0.01005 0.06752163

202 0.0101 0.0654367

203 0.01015 0.06331429

204 0.0102 0.06115837

205 0.01025 0.05897282

206 0.0103 0.05676149

207 0.01035 0.05452814

208 0.0104 0.05227649

209 0.01045 0.05001016

210 0.0105 0.04773272

211 0.01055 0.04544765

212 0.0106 0.04315835

213 0.01065 0.04086815

214 0.0107 0.03858028

215 0.01075 0.03629788

216 0.0108 0.03402402

217 0.01085 0.03176167

218 0.0109 0.02951369

219 0.01095 0.02728287

220 0.011 0.02507188

221 0.01105 0.02288332

222 0.0111 0.02071966

223 0.01115 0.01858329

224 0.0112 0.0164765

225 0.01125 0.01440148

226 0.0113 0.01236029

227 0.01135 0.01035494

228 0.0114 0.00838729

229 0.01145 0.00645912

230 0.0115 0.00457211

231 0.01155 0.00272783

232 0.0116 0.00092777

233 0.01165 -0.00082672

234 0.0117 -0.00253436

235 0.01175 -0.00419396

236 0.0118 -0.00580446

237 0.01185 -0.00736488

238 0.0119 -0.00887433

239 0.01195 -0.01033202

240 0.012 -0.01173725

241 0.01205 -0.01308943

242 0.0121 -0.01438803

243 0.01215 -0.01563263

244 0.0122 -0.01682289

245 0.01225 -0.01795856

246 0.0123 -0.01903947

247 0.01235 -0.02006552

248 0.0124 -0.02103671

249 0.01245 -0.0219531

250 0.0125 -0.02281483

251 0.01255 -0.02362213

252 0.0126 -0.02437527

253 0.01265 -0.02507461

254 0.0127 -0.02572057

255 0.01275 -0.02631363

256 0.0128 -0.02685435

257 0.01285 -0.02734332

258 0.0129 -0.0277812

259 0.01295 -0.02816872

260 0.013 -0.02850664

261 0.01305 -0.02879578

262 0.0131 -0.02903701

263 0.01315 -0.02923123

264 0.0132 -0.02937939

265 0.01325 -0.0294825

266 0.0133 -0.02954156

267 0.01335 -0.02955766

268 0.0134 -0.02953189

269 0.01345 -0.02946537

270 0.0135 -0.02935926

271 0.01355 -0.02921474

272 0.0136 -0.029033

273 0.01365 -0.02881529

274 0.0137 -0.02856283

275 0.01375 -0.02827689

276 0.0138 -0.02795873

277 0.01385 -0.02760965

278 0.0139 -0.02723095

279 0.01395 -0.02682391

280 0.014 -0.02638986

281 0.01405 -0.0259301

282 0.0141 -0.02544594

283 0.01415 -0.02493871

284 0.0142 -0.02440972

285 0.01425 -0.02386027

286 0.0143 -0.02329166

287 0.01435 -0.0227052

288 0.0144 -0.02210217

289 0.01445 -0.02148384

290 0.0145 -0.02085149

291 0.01455 -0.02020637

292 0.0146 -0.0195497

293 0.01465 -0.01888273

294 0.0147 -0.01820664

295 0.01475 -0.01752262

296 0.0148 -0.01683185

297 0.01485 -0.01613546

298 0.0149 -0.01543457

299 0.01495 -0.0147303

300 0.015 -0.0140237

301 0.01505 -0.01331585

302 0.0151 -0.01260775

303 0.01515 -0.01190041

304 0.0152 -0.01119481

305 0.01525 -0.01049188

306 0.0153 -0.00979254

307 0.01535 -0.00909769

308 0.0154 -0.00840817

309 0.01545 -0.00772482

310 0.0155 -0.00704843

311 0.01555 -0.00637977

312 0.0156 -0.00571958

313 0.01565 -0.00506856

314 0.0157 -0.00442739

315 0.01575 -0.00379671

316 0.0158 -0.00317713

317 0.01585 -0.00256923

318 0.0159 -0.00197356

319 0.01595 -0.00139063

320 0.016 -0.00082094

321 0.01605 -0.00026493

322 0.0161 0.00027697

323 0.01615 0.00080436

324 0.0162 0.0013169

325 0.01625 0.00181424

326 0.0163 0.00229608

327 0.01635 0.00276215

328 0.0164 0.00321221

329 0.01645 0.00364604

330 0.0165 0.00406346

331 0.01655 0.00446431

332 0.0166 0.00484846

333 0.01665 0.0052158

334 0.0167 0.00556626

335 0.01675 0.00589979

336 0.0168 0.00621636

337 0.01685 0.00651596

338 0.0169 0.00679863

339 0.01695 0.00706439

340 0.017 0.00731333

341 0.01705 0.00754553

342 0.0171 0.00776109

343 0.01715 0.00796016

344 0.0172 0.00814288

345 0.01725 0.00830942

346 0.0173 0.00845997

347 0.01735 0.00859474

348 0.0174 0.00871394

349 0.01745 0.00881781

350 0.0175 0.00890662

351 0.01755 0.00898061

352 0.0176 0.00904009

353 0.01765 0.00908534

354 0.0177 0.00911667

355 0.01775 0.00913439

356 0.0178 0.00913885

357 0.01785 0.00913037

358 0.0179 0.00910931

359 0.01795 0.00907602

360 0.018 0.00903087

361 0.01805 0.00897423

362 0.0181 0.00890647

363 0.01815 0.008828

364 0.0182 0.00873918

365 0.01825 0.00864042

366 0.0183 0.00853212

367 0.01835 0.00841467

368 0.0184 0.00828847

369 0.01845 0.00815394

370 0.0185 0.00801148

371 0.01855 0.00786149

372 0.0186 0.00770439

373 0.01865 0.00754057

374 0.0187 0.00737044

375 0.01875 0.0071944

376 0.0188 0.00701286

377 0.01885 0.00682622

378 0.0189 0.00663486

379 0.01895 0.00643918

380 0.019 0.00623956

381 0.01905 0.00603639

382 0.0191 0.00583005

383 0.01915 0.00562091

384 0.0192 0.00540932

385 0.01925 0.00519567

386 0.0193 0.00498029

387 0.01935 0.00476354

388 0.0194 0.00454575

389 0.01945 0.00432725

390 0.0195 0.00410838

391 0.01955 0.00388945

392 0.0196 0.00367076

393 0.01965 0.00345263

394 0.0197 0.00323533

395 0.01975 0.00301915

396 0.0198 0.00280437

397 0.01985 0.00259125

398 0.0199 0.00238004

399 0.01995 0.002171

400 0.02 0.00196436

401 0.02005 0.00176034

402 0.0201 0.00155917

403 0.02015 0.00136106

404 0.0202 0.00116619

405 0.02025 0.00097476

406 0.0203 0.00078695

407 0.02035 0.00060293

408 0.0204 0.00042286

409 0.02045 0.00024688

410 0.0205 7.5142E-05

411 0.02055 -9.2231E-05

412 0.0206 -0.00025512

413 0.02065 -0.0004134

414 0.0207 -0.00056698

415 0.02075 -0.00071577

416 0.0208 -0.00085968

417 0.02085 -0.00099863

418 0.0209 -0.00113257

419 0.02095 -0.00126142

420 0.021 -0.00138516

421 0.02105 -0.00150373

422 0.0211 -0.0016171

423 0.02115 -0.00172525

424 0.0212 -0.00182816

425 0.02125 -0.00192583

426 0.0213 -0.00201826

427 0.02135 -0.00210544

428 0.0214 -0.00218741

429 0.02145 -0.00226417

430 0.0215 -0.00233576

431 0.02155 -0.0024022

432 0.0216 -0.00246355

433 0.02165 -0.00251985

434 0.0217 -0.00257114

435 0.02175 -0.00261749

436 0.0218 -0.00265897

437 0.02185 -0.00269563

438 0.0219 -0.00272756

439 0.02195 -0.00275483

440 0.022 -0.00277753

441 0.02205 -0.00279574

442 0.0221 -0.00280956

443 0.02215 -0.00281908

444 0.0222 -0.00282439

445 0.02225 -0.00282561

446 0.0223 -0.00282283

447 0.02235 -0.00281616

448 0.0224 -0.00280572

449 0.02245 -0.00279162

450 0.0225 -0.00277397

451 0.02255 -0.00275288

452 0.0226 -0.00272849

453 0.02265 -0.0027009

454 0.0227 -0.00267025

455 0.02275 -0.00263665

456 0.0228 -0.00260022

457 0.02285 -0.0025611

458 0.0229 -0.0025194

459 0.02295 -0.00247526

460 0.023 -0.00242879

461 0.02305 -0.00238013

462 0.0231 -0.0023294

463 0.02315 -0.00227672

464 0.0232 -0.00222223

465 0.02325 -0.00216603

466 0.0233 -0.00210826

467 0.02335 -0.00204904

468 0.0234 -0.00198848

469 0.02345 -0.00192672

470 0.0235 -0.00186386

471 0.02355 -0.00180003

472 0.0236 -0.00173533

473 0.02365 -0.00166988

474 0.0237 -0.0016038

475 0.02375 -0.00153719

476 0.0238 -0.00147015

477 0.02385 -0.0014028

478 0.0239 -0.00133524

479 0.02395 -0.00126757

480 0.024 -0.00119988

481 0.02405 -0.00113227

482 0.0241 -0.00106483

483 0.02415 -0.00099765

484 0.0242 -0.00093083

485 0.02425 -0.00086444

486 0.0243 -0.00079857

487 0.02435 -0.00073329

488 0.0244 -0.00066869

489 0.02445 -0.00060483

490 0.0245 -0.00054178

491 0.02455 -0.00047962

492 0.0246 -0.0004184

493 0.02465 -0.00035819

494 0.0247 -0.00029905

495 0.02475 -0.00024102

496 0.0248 -0.00018417

497 0.02485 -0.00012855

498 0.0249 -7.4188E-05

499 0.02495 -2.1141E-05

500 0.025 3.0554E-05

Ringing Period is time

of one oscilation period

1







0.8

Distance y(t)









0.6

Settling Time is the time

required for the signal

0.002224 to

0.4 stay within ±10% of the

3.55840342



Rise Time is the time 0.1

0.2

required to reach

90% of steady state0.0025 0.08936294

value

0.9367497 0



-1.64285064 -1.75531479

-0.2

0.11246415

0.00207383

-0.4

0.37363236

0 0.0025 0.005 0.0075 0.01 0.0125 0.015 0.0175 0.02

1.57079633

1.76573159 Time (sec)



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