Stochastic stationary responses of a viscoelastic system with impacts under additive Gaussian white noise excitation

被引：16

作者：

Zhao, Xiangrong ^{[1
]}

Xu, Wei ^{[1
]}

Gu, Xudong ^{[2
]}

Yang, Yongge ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] Northwestern Polytech Univ, Dept Engn Mech, Xian 710072, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 431卷

基金：

中国国家自然科学基金;

关键词：

Viscoelastic system; Vibro-impact; Non-smooth transformation; Stochastic averaging methods; Stochastic bifurcation; DUFFING-VAN; CONTROLLABILITY; VIBRATIONS; STABILITY;

D O I：

10.1016/j.physa.2015.03.013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is devoted to investigate the stochastic stationary responses of a viscoelastic system with impacts under additive Gaussian white noise excitation. First, the viscoelastic force is approximated as equivalent stiffness and damping terms, and the original system is replaced by a system without viscoelasticity. Then, the stationary responses of the system are obtained analytically by using non-smooth transformation and stochastic averaging method. The theoretical analyses are verified by numerical results from Monte Carlo simulations. Effects of the noise intensity and the nonlinear damping coefficient on the system responses are investigated. At last, it is worthy noting that the restitution coefficient, the linear damping coefficient and the viscoelastic parameters can induce the occurrence of stochastic P-bifurcation. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：128 / 139

页数：12

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