Probabilistic response and rare events in Mathieu׳s equation under correlated parametric excitation
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- 作者：Mustafa A. Mohamad mmohamad@mit.edu" class="auth_mail" title="E-mail the corresponding author ; Themistoklis P. Sapsis ; sapsis@mit.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Mathieu׳s equation ; Colored stochastic excitation ; Heavy-tails ; Intermittent instabilities ; Rare events ; Stochastic roll resonance
- 刊名：Ocean Engineering
- 出版年：2016
- 出版时间：1 July 2016
- 年：2016
- 卷：120
- 期：Complete
- 页码：289-297
- 全文大小：2209 K
文摘
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Analytical derivation of the probability distribution for the Mathieu׳s equation under stochastic correlated excitation.
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Quantification of rare and extreme responses due to intermittent periods of parametric resonance.
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Decomposition of the probabilistic response into a main core, describing background statistics, and a heavy tailed region associated with instabilities.
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Analytical approximation of the heavy tailed structure of the probability distribution many standard deviations away from the mean.