Peak response of non-linear oscillators under stationary white noise
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Publication date
2007Keyword
Cencored closureComputational 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.Peer-Reviewed
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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.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.Link to Version of Record
https://doi.org/10.1016/j.compstruc.2006.10.005Type
Articleae974a485f413a2113503eed53cd6c53
https://doi.org/10.1016/j.compstruc.2006.10.005