TY - JOUR
T1 - Stochastic stationary responses of a viscoelastic system with impacts under additive Gaussian white noise excitation
AU - Zhao, Xiangrong
AU - Xu, Wei
AU - Gu, Xudong
AU - Yang, Yongge
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2015/8/1
Y1 - 2015/8/1
N2 - 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.
AB - 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.
KW - Non-smooth transformation
KW - Stochastic averaging methods
KW - Stochastic bifurcation
KW - Vibro-impact
KW - Viscoelastic system
UR - http://www.scopus.com/inward/record.url?scp=84961289047&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2015.03.013
DO - 10.1016/j.physa.2015.03.013
M3 - 文章
AN - SCOPUS:84961289047
SN - 0378-4371
VL - 431
SP - 128
EP - 139
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
ER -