An approximate approach for non-stationary stochastic response of a hysteretic system subjected to combined periodic and stochastic excitation

被引：0
|
作者：
Kong F. [1 ]
Shen Z. [1 ]
He W. [2 ]
Li S. [1 ]
机构：
[1] School of Civil Engineering & Architecture, Wuhan University of Technology, Wuhan
[2] Engineering Faculty, China University of Geoscience (Wuhan), Wuhan
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 16期
关键词：
Bouc-Wen hysteresis model; combined excitation; nonstationary; statistical linearization;
D O I：
10.13465/j.cnki.jvs.2022.16.015
中图分类号：
学科分类号：
摘要：
A statistical linearization method was proposed for determining the non-stationary response of a single-degree-of-freedom Bouc-Wen system subjected to a combined stochastic and periodic excitation. Specifically, first, representing the system response into a combination of a deterministic and of a zero-mean random component, the equation of motion was decomposed into a set of two non-linear differential equations, governing deterministic response and stochastic response, respectively. Next, the statistical linearization method was utilized to treat the non-linear stochastic differential equation, deriving the related Lyapunov differential equation in terms of response variance. The system response can be obtained by solving the Lyapunov differential equation and the deterministic equation of motion, simultaneously using standard numerical methods. Finally, pertinent numerical examples were used to demonstrate the applicability and accuracy of the proposed method. © 2022 Chinese Vibration Engineering Society. All rights reserved.
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页码：108 / 116and231
相关论文
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