Random response of Preisach hysteretic systems

Z. G. Ying; W. Q. Zhu; Yiqing Ni; J. M. Ko

doi:10.1006/jsvi.2001.4078

Random response of Preisach hysteretic systems

Z. G. Ying, W. Q. Zhu, Yiqing Ni, J. M. Ko

Research output: Journal article publication › Journal article › Academic research › peer-review

14 Citations (Scopus)

Abstract

An approximate method for analyzing the response of Preisach hysteretic systems with non-local memory under stationary Gaussian excitation is proposed. The covariance matrix equation of system response is derived. The cross correlation function of Preisach hysteretic force and response in the covariance equation is evaluated based on the switching probability analysis and the Gaussian approximation of response process and an explicit expression for the cross correlation function is given for the case of symmetric Preisach weighting function. It is shown that the numerical result obtained by using the proposed method is in good agreement with that from digital simulation.

Original language	English
Pages (from-to)	37-49
Number of pages	13
Journal	Journal of Sound and Vibration
Volume	254
Issue number	1
DOIs	https://doi.org/10.1006/jsvi.2001.4078
Publication status	Published - 27 Jun 2002

ASJC Scopus subject areas

Condensed Matter Physics
Acoustics and Ultrasonics
Mechanics of Materials
Mechanical Engineering

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10.1006/jsvi.2001.4078

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N2 - An approximate method for analyzing the response of Preisach hysteretic systems with non-local memory under stationary Gaussian excitation is proposed. The covariance matrix equation of system response is derived. The cross correlation function of Preisach hysteretic force and response in the covariance equation is evaluated based on the switching probability analysis and the Gaussian approximation of response process and an explicit expression for the cross correlation function is given for the case of symmetric Preisach weighting function. It is shown that the numerical result obtained by using the proposed method is in good agreement with that from digital simulation.

AB - An approximate method for analyzing the response of Preisach hysteretic systems with non-local memory under stationary Gaussian excitation is proposed. The covariance matrix equation of system response is derived. The cross correlation function of Preisach hysteretic force and response in the covariance equation is evaluated based on the switching probability analysis and the Gaussian approximation of response process and an explicit expression for the cross correlation function is given for the case of symmetric Preisach weighting function. It is shown that the numerical result obtained by using the proposed method is in good agreement with that from digital simulation.

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Random response of Preisach hysteretic systems

Abstract

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