Truncation of Infinite Hierarchy for Hysteretic Systemsby George Tsiatas, Univ of Rhode Island, Kingston, United States,
Sau-Lon James Hu, Univ of Rhode Island, Kingston, United States,
Abstract: An analytical approach for estimating the response statistics of hysteretic systems subjected to Gaussian or Non-Gaussian white noise excitation is proposed. A generalized Ito moment equation is used for the case of the non-Gaussian excitation. An exponential probability density function is employed for the truncation of the moment equations of hysteretic systems following the Baber-Bouc-Wen model. The density assumed guarantees positive probability function but requires extensive calculations.
Subject Headings: Gaussian process | Excitation (physics) | Case studies
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