Truncation of infinite hierarchy for hysteretic systems
Date of Original Version
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.
Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference
Tsiatas, George, and Sau Lon J. Hu. "Truncation of infinite hierarchy for hysteretic systems." Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference , (1992): 416-419. https://digitalcommons.uri.edu/cve_facpubs/386