✦ LIBER ✦

Some thoughts on averaging techniques in stochastic dynamics

✍ Scribed by Y.K. Lin; G.Q. Cai

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 127 KB
Volume: 15
Category: Article
ISSN: 0266-8920
DOI: 10.1016/s0266-8920(99)00004-1

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✦ Synopsis

Stochastic averaging and quasi-conservative averaging are used essentially to obtain a one-dimensional Markov approximation describing the response of a randomly excited one-degree-of-freedom system. Difficulties arise when the original physical system is more than one degree of freedom with both low and high damping modes, or/and it has a strongly nonlinear stiffness and the stochastic excitation is nonwhite. The ways in which such difficulties can be overcome are discussed.

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