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Friction-Induced Vibrations and Self-Organization
book

Friction-Induced Vibrations and Self-Organization

by Michael Nosonovsky, Vahid Mortazavi
August 2013
Intermediate to advanced content levelIntermediate to advanced
333 pages
11h 16m
English
CRC Press
Content preview from Friction-Induced Vibrations and Self-Organization
11Vibrations and Stability at the Bulk and at the Interface
The idea of Lindstedt’s method is in presenting the frequency in the form of
01
2
2
3
3
ω=ω+εω ω+εω +
(2.31)
and obtaining the iterative equations for the frequency in addition to those
for x. Many other methods for non-linear vibration analysis are discussed in
the literature (Rand 2005; Meirovitch 1986).
2.4 Bifurcations, Catastrophes, and Chaos
As we discussed in the preceding section, there are several qualitative ways
in which a system can become unstable. There is a “soft” loss of stability
when the state of equilibrium bifurcates and adjacent states become new
stable states of equi ...
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Publisher Resources

ISBN: 9781466504011