Random vibrations of Rayleigh vibroimpact oscillator under Parametric Poisson white noise

被引：13
|
作者：
Yang, Guidong [1 ]
Xu, Wei [1 ]
Jia, Wantao [1 ]
He, Meijuan [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 33卷
基金：
中国国家自然科学基金;
关键词：
Random vibration; Vibroimpact system; Parametric Poisson white noise; Perturbation method; Stochastic response; Stochastic bifurcation; VIBRO-IMPACT SYSTEMS; STOCHASTIC RESPONSES; DUFFING-VAN; BIFURCATIONS; LINEARIZATION; RESONANCE; DYNAMICS; MOTIONS;
D O I：
10.1016/j.cnsns.2015.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Random vibration problems for a single-degree-of-freedom (SDOF) Rayleigh vibroimpact system with a rigid barrier under parametric Poisson white noise are considered. The averaged generalized Fokker-Planck-Kolmogorov (FPK) equations with parametric Poisson white noise are derived after using the nonsmooth variable transformation and the approximate stationary solutions for the system's response are obtained by perturbation method. The results are validated numerically by using Monte Carlo simulations from original vibroimpact system. Effects on the response for different damping coefficients, restitution coefficients and noise intensities are discussed. Furthermore, stochastic bifurcations are also explored. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：19 / 29
页数：11
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