Oscillator Response to Nonstationary Excitation

Analytical solutions are presented regarding probability density distributions of various response parameters of a lightly damped oscillator. The oscillator is subjected to a broad-band stochastic excitation which possesses a time-variant power spectrum. The analytical solutions are derived by utili...

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Bibliographic Details
Published in:Journal of applied mechanics 1984-12, Vol.51 (4), p.907-912
Main Authors: Solomos, G. P, Spanos, P-T. D
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Structural Mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:Analytical solutions are presented regarding probability density distributions of various response parameters of a lightly damped oscillator. The oscillator is subjected to a broad-band stochastic excitation which possesses a time-variant power spectrum. The analytical solutions are derived by utilizing appropriate Fokker-Planck equations which govern Markovian approximations of the response parameters considered. The reliability of the approximate analytical solution is tested by using pertinent data generated by a digital Monte Carlo study.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.3167745