Vibrations and Stability: Advanced Theory, Analysis, and Tools

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Springer Science & Business Media, Nov 5, 2003 - Mathematics - 404 pages
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'Vibrations and Stability' is aimed at third to fifth-year undergraduates and post graduates in mechanical or structural engineering. The book covers a range of subjects relevant for a one-or two-semester course in advanced vibrations and stability. Also, it can be used for self-study, e. g. , by students on master or PhD projects, researchers, and professional engineers. The focus is on nonlinear phe nomena and tools, covering the themes of local perturbation analysis (Chaps. 3 and 4), bifurcation analysis (Chap. 5), global analysis I chaos theory (Chap. 6), and special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid with a brief summary of elementary linear vibration theory (Chap. 1), and a treatment of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise problems and extensive bibliographic references to serve the needs of both students and more experienced users; major exercises for course-work; and appendices on numerical simulation, standard mathematical formulas, vibration properties of basic structural elements, and properties of engineering materials. This Second Edition is a revised and expanded version of the first edition (pub lished by McGraw-Hill in 1997), reflecting the experience gathered during its now six years in service as a classroom or self-study text for students and researchers. The second edition contains a major new chapter (7), three new appendices, many new exercise problems, more than 120 new and updated bibliographic references, and hundreds of minor updates, corrections, and clarifications.
 

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Contents

III
1
IV
2
VII
3
VIII
4
X
5
XI
6
XII
7
XV
8
CXL
197
CXLI
198
CXLII
199
CXLIII
200
CXLIV
201
CXLV
202
CXLVI
203
CXLVII
204

XVI
9
XVIII
10
XX
11
XXI
12
XXII
13
XXIV
14
XXV
15
XXVI
16
XXVII
17
XXIX
18
XXX
21
XXXI
23
XXXII
25
XXXIII
27
XXXIV
28
XXXVI
29
XXXVIII
30
XXXIX
31
XLI
34
XLII
35
XLIII
36
XLV
37
XLVI
39
XLVII
40
XLIX
41
LI
42
LII
43
LV
44
LVIII
45
LIX
46
LX
47
LXI
48
LXII
49
LXIII
50
LXV
51
LXVI
54
LXVII
58
LXVIII
59
LXIX
60
LXXI
65
LXXII
66
LXXIV
68
LXXV
69
LXXVI
70
LXXVII
71
LXXVIII
72
LXXIX
73
LXXX
74
LXXXI
76
LXXXII
77
LXXXIII
79
LXXXIV
85
LXXXV
86
LXXXVI
88
LXXXVII
92
LXXXVIII
94
LXXXIX
96
XC
97
XCI
99
XCII
100
XCIII
102
XCIV
105
XCV
110
XCVI
111
XCVII
116
XCVIII
122
XCIX
128
C
130
CII
137
CIII
138
CIV
140
CV
144
CVI
147
CVIII
148
CIX
149
CX
150
CXI
154
CXII
155
CXIII
156
CXIV
158
CXV
160
CXVI
164
CXVIII
165
CXIX
166
CXX
167
CXXII
168
CXXIII
169
CXXIV
172
CXXV
174
CXXVI
177
CXXVII
179
CXXVIII
182
CXXX
183
CXXXI
185
CXXXII
189
CXXXIII
190
CXXXIV
191
CXXXV
192
CXXXVII
194
CXXXVIII
195
CXXXIX
196
CXLVIII
206
CXLIX
207
CL
208
CLI
209
CLII
210
CLIII
211
CLV
212
CLVI
213
CLVII
215
CLIX
217
CLX
219
CLXI
221
CLXII
222
CLXIII
225
CLXIV
227
CLXV
229
CLXVII
231
CLXIX
234
CLXX
238
CLXXI
240
CLXXII
241
CLXXIII
242
CLXXV
243
CLXXVI
245
CLXXVII
246
CLXXVIII
248
CLXXIX
249
CLXXXII
251
CLXXXIII
255
CLXXXIV
259
CLXXXV
263
CLXXXVIII
264
CLXXXIX
265
CXC
267
CXCI
268
CXCII
273
CXCIII
277
CXCV
278
CXCVI
281
CXCVII
282
CXCVIII
283
CXCIX
284
CC
287
CCI
288
CCIII
291
CCV
292
CCVII
297
CCVIII
300
CCIX
302
CCX
303
CCXII
304
CCXIV
307
CCXV
308
CCXVI
309
CCXVII
312
CCXVIII
315
CCXIX
318
CCXX
320
CCXXI
322
CCXXII
324
CCXXIII
325
CCXXIV
327
CCXXV
329
CCXXVII
332
CCXXVIII
333
CCXXIX
334
CCXXX
339
CCXXXII
340
CCXXXIV
343
CCXXXV
347
CCXXXVII
348
CCXXXIX
349
CCXL
350
CCXLI
351
CCXLII
352
CCXLIV
353
CCXLVII
355
CCXLIX
356
CCLI
357
CCLII
358
CCLIV
359
CCLV
360
CCLVI
361
CCLVIII
362
CCLX
363
CCLXI
364
CCLXII
365
CCLXIII
366
CCLXVII
367
CCLXVIII
371
CCLXIX
372
CCLXX
373
CCLXXI
375
CCLXXII
376
CCLXXVI
377
CCLXXIX
378
CCLXXXI
379
CCLXXXII
380
CCLXXXIII
381
CCLXXXIV
393
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Page 392 - Nonlinear Impact and Chaotic Response of Slender Rocking Objects," Journal of Engineering Mechanics, Vol.
Page 392 - Dynamics of a weakly nonlinear system subjected to combined parametric and external excitation.
Page 386 - Korenev, BG, and Reznikov, LM, 1993, Dynamic Vibration Absorbers: Theory and Technical Applications. John Wiley & Sons. Long, TW Long, Hanzevack EL, and Caggiano, S.,1995, "Noncolocated vibration control using neural networks," In IEEE International Symposium on Intelligent Control, pages 9-14.
Page 387 - Meerkov SM: Principle of vibrational control: theory and applications. IEEE Transactions on Automatic Control, AC-25 (1980) 4, pp.

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