Index
A
Accelerance, 268
Adjointness, 50, 64
Admissible
function, 64
variation, 22
Aerodynamic forces, 100
Animation, 453
Antinode, 18, 439
Antiresonance, 10
Arch, non-shallow, 210, 220, 344, 361, 373
Arclength continuation, 141, 157, 299, 304,
320
Assumed-modes method, 27, 429
Asymmetric terms, 364
Asymptotically chaotic, 378
Atomic force microscope, 468
Attractor, 293
bounded, 294
chaotic, 272, 293, 334
collisions, 345
dimension, 336, 338
explosion, 294
fractal, 339
ghost, 294
large, 293, 294
Lorenz, 363
periodic, 293
phantom, 294
point, 293
remote, 293, 294
strange, 330, 334
unbounded, 294
Autonomous system, 104, 107, 108, 135, 272,
327, 331, 332, 395, 404, 449
chaotic, 372
coupled, 369
truly, 369
Autoparametric
case, 222
resonance, 210
system, 212
systems with chaos, 372
vibration absorber. See Vibration absorber
Averaged equations, 126, 168, 391
Averaging
operator, 390
theorem, extended, 180
theorem, 179
Averaging, method of, 124
compared to multiple scales, 169
compared to the MDSM, 388
extended for discont. systems, 175, 176,
180
for forced systems, 166
for vibro-impact analysis, 175
generalized, 126
Averaging, standard integrals, 478
B
Backbone curve, 141, 159, 163, 170, 251, 307,
308, 310
Band gap, 47
Bandwidth, of a matrix, 84
Basin of attraction, 340
Beams
dynamically controlled, 457
flexural vibrations, 60, 487
HF excited, 397, 426
natural frequencies and mode shapes, 487
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Switzerland AG 2021
J. J. Thomsen Vibrations and Stability,
https://doi.org/10.1007/978-3-030-68045-9
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