Truncation of Infinite Hierarchy for Hysteretic Systems

by George Tsiatas, Univ of Rhode Island, Kingston, United States,
Sau-Lon James Hu, Univ of Rhode Island, Kingston, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


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: Probability | Gaussian process | Excitation (physics) | Hysteresis | Vibration | Statistics | Oscillations

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