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Peak response of non-linear oscillators under stationary white noise

Muscolino, G.
; 
Palmeri, Alessandro
Publication Date
2007
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Keywords
Cencored closure, Computational stochastic mechanics, First passage time, Gumbel distribution, Poisson approach, Random vibration, Reliability analysis, Stochastic averaging
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© 2007 Elsevier Ltd. Reproduced in accordance with the publisher's self-archiving policy.
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openAccess
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Abstract
The use of the Advanced Censored Closure (ACC) technique, recently proposed by the authors for predicting the peak response of linear structures vibrating under random processes, is extended to the case of non-linear oscillators driven by stationary white noise. The proposed approach requires the knowledge of mean upcrossing rate and spectral bandwidth of the response process, which in this paper are estimated through the Stochastic Averaging method. Numerical applications to oscillators with non-linear stiffness and damping are included, and the results are compared with those given by Monte Carlo Simulation and by other approximate formulations available in the literature.
URI
http://hdl.handle.net/10454/601
Version
Accepted manuscript
Citation
Muscolino G and Palmeri A (2007) Peak response of non-linear oscillators under stationary white noise. Computers and Structures. 85(5-6): 255-263.
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Link to Version of Record
https://doi.org/10.1016/j.compstruc.2006.10.005
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Article
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