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Some heuristic procedures for analyzing random vibration of nonlinear oscillators.The stationary response of a lightly damped nonlinear oscillator subjected to wideband random excitation can be examined as an example of thermal equilibrium. It may be assumed that the response consists of a series of free-vibration cycles with small random fluctuations in phase and amplitude. Certain statistical properties of the response can be estimated by averaging corresponding properties of the free vibration with respect to cycle amplitude distributions. Such heuristic procedures for determining the expected frequency and the autocorrelation function of the stationary response are outlined. Some additional results concerning first-passage problems for nonlinear oscillators are included.
Document ID
19720035027
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Crandall, S. H.
Date Acquired
August 6, 2013
Publication Date
January 1, 1971
Subject Category
Physics, General
Accession Number
72A18693
Funding Number(s)
CONTRACT_GRANT: NAS8-2504
Distribution Limits
Public
Copyright
Other

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