Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780486432403 | 0486432408
- Cover: Paperback
- Copyright: 12/9/2003
This self-contained volume explains the general method of statistical, or equivalent, linearization and its use in solving random vibration problems. Subjects include general equations of motion and representation of non-linearities, probability theory and stochastic processes, elements of linear random vibration theory, statistical linearization for simple systems with stationary response, more. 1990 edition.
Preface to the Dover Edition | xi | ||||
Preface | xiii | ||||
Chapter 1 Introduction | |||||
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1 | (2) | |||
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3 | (1) | |||
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4 | (1) | |||
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5 | (7) | |||
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5 | (3) | |||
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8 | (1) | |||
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9 | (1) | |||
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9 | (1) | |||
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10 | (1) | |||
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11 | (1) | |||
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12 | (1) | |||
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13 | (1) | |||
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14 | (3) | |||
Chapter 2 General equations of motion and the representation of nonlinearities | |||||
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17 | (1) | |||
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17 | (8) | |||
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21 | (3) | |||
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24 | (1) | |||
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25 | (14) | |||
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26 | (2) | |||
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28 | (1) | |||
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29 | (3) | |||
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32 | (5) | |||
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37 | (2) | |||
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39 | (24) | |||
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42 | (7) | |||
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49 | (4) | |||
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53 | (4) | |||
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57 | (6) | |||
Chapter 3 Probability theory and stochastic processes | |||||
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63 | (1) | |||
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63 | (1) | |||
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64 | (3) | |||
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65 | (1) | |||
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66 | (1) | |||
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67 | (3) | |||
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70 | (5) | |||
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72 | (1) | |||
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72 | (3) | |||
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75 | (4) | |||
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76 | (1) | |||
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77 | (1) | |||
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78 | (1) | |||
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79 | (1) | |||
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80 | (1) | |||
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80 | (2) | |||
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82 | (4) | |||
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86 | (2) | |||
Chapter 4 Elements of linear random vibration theory | |||||
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88 | (1) | |||
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88 | (2) | |||
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90 | (3) | |||
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93 | (8) | |||
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93 | (1) | |||
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94 | (1) | |||
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95 | (2) | |||
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97 | (3) | |||
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100 | (1) | |||
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101 | (21) | |||
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101 | (6) | |||
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107 | (4) | |||
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111 | (2) | |||
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113 | (2) | |||
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115 | (7) | |||
Chapter 5 Statistical linearization for simple systems with stationary response | |||||
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122 | (1) | |||
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122 | (7) | |||
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123 | (2) | |||
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125 | (1) | |||
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126 | (3) | |||
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129 | (26) | |||
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131 | (2) | |||
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133 | (3) | |||
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136 | (1) | |||
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137 | (1) | |||
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137 | (3) | |||
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140 | (4) | |||
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144 | (3) | |||
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147 | (4) | |||
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151 | (4) | |||
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155 | (7) | |||
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158 | (2) | |||
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160 | (1) | |||
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161 | (1) | |||
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161 | (1) | |||
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162 | (2) | |||
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164 | (13) | |||
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164 | (4) | |||
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168 | (5) | |||
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173 | (4) | |||
Chapter 6 Statistical linearization of multi-degree of freedom systems with stationary response | |||||
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177 | (1) | |||
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177 | (1) | |||
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178 | (5) | |||
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178 | (1) | |||
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179 | (1) | |||
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179 | (2) | |||
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181 | (1) | |||
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182 | (1) | |||
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183 | (1) | |||
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184 | (3) | |||
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184 | (1) | |||
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185 | (1) | |||
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186 | (1) | |||
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187 | (22) | |||
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187 | (1) | |||
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188 | (8) | |||
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196 | (6) | |||
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202 | (3) | |||
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205 | (4) | |||
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209 | (3) | |||
Chapter 7 Non-stationary problems | |||||
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212 | (1) | |||
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212 | (4) | |||
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216 | (9) | |||
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217 | (5) | |||
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222 | (3) | |||
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225 | (10) | |||
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226 | (1) | |||
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227 | (3) | |||
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230 | (5) | |||
Chapter 8 Systems with hysteretic non-linearity | |||||
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235 | (1) | |||
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235 | (22) | |||
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239 | (2) | |||
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241 | (2) | |||
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243 | (2) | |||
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245 | (1) | |||
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246 | (9) | |||
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255 | (2) | |||
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257 | (24) | |||
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257 | (7) | |||
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264 | (7) | |||
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271 | (2) | |||
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273 | (2) | |||
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275 | (1) | |||
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276 | (5) | |||
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281 | (4) | |||
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281 | (3) | |||
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284 | (1) | |||
Chapter 9 Relaxation of the Gaussian response assumption | |||||
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285 | (1) | |||
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285 | (8) | |||
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289 | (4) | |||
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293 | (14) | |||
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293 | (2) | |||
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295 | (2) | |||
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297 | (10) | |||
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307 | (17) | |||
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308 | (3) | |||
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311 | (3) | |||
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314 | (2) | |||
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316 | (2) | |||
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318 | (3) | |||
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321 | (3) | |||
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324 | (8) | |||
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324 | (2) | |||
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326 | (2) | |||
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328 | (4) | |||
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332 | (15) | |||
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335 | (1) | |||
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336 | (3) | |||
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339 | (8) | |||
Chapter 10 Accuracy of statistical linearization | |||||
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347 | (1) | |||
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347 | (5) | |||
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348 | (1) | |||
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349 | (3) | |||
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352 | (1) | |||
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352 | (9) | |||
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352 | (1) | |||
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353 | (2) | |||
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355 | (2) | |||
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357 | (2) | |||
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359 | (2) | |||
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361 | (17) | |||
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361 | (2) | |||
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363 | (3) | |||
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366 | (5) | |||
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371 | (4) | |||
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375 | (1) | |||
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376 | (2) | |||
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378 | (2) | |||
Appendix A: Evaluation of expectations | 380 | (2) | |||
Appendix B: A useful integral for random vibration analyses | 382 | (5) | |||
Addendum to Appendix B | 387 | (6) | |||
References | 393 | (12) | |||
Additional References | 405 | (33) | |||
Author index | 438 | (4) | |||
Subject index | 442 |
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