Probabilistic response and rare events in Mathieu׳s equation under correlated parametric excitation

We derive an analytical approximation to the probability distribution function (pdf) for the response of Mathieu׳s equation under parametric excitation by a random process with a spectrum peaked at the main resonant frequency, motivated by the problem of large amplitude ship roll resonance in random...

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Bibliographic Details
Main Authors: Mohamad, Mustafa A. (Contributor), Sapsis, Themistoklis P. (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering (Contributor)
Format: Article
Language:English
Published: Elsevier, 2018-07-06T19:52:17Z.
Subjects:
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