Stochastic stability of viscoelastic system under non-Gaussian colored noise excitation

作     者：Yong Huang XianBin Liu 

作者机构：Nanjing Univ Aeronaut & Astronaut State Key Lab Mech & Control Mech Struct Nanjing 210016 Jiangsu Peoples R China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2012年第55卷第3期

页      面：483-492页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0823[工学-交通运输工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 11072107 and 91016022) the Specialized Research Fund for the Doctoral Program of Higher Education of China (GrantNo.20093218110003) 

主　　题：viscoelastic system the moment Lyapunov exponents non-Gaussian colored noise stochastic averaging method the Monte Carlo simulation 

摘      要：This article examines a viscoelastic plate that is driven parametrically by a non-Guassian colored noise,which is simplified to an Ornstein-Uhlenbeck process based on the approximation *** examine the moment stability property of the viscoelastic system,we use the stochastic averaging method,Girsanov theorem and Feynmann-Kac formula to derive the approximate analytic expansion of the moment Lyapunov ***,the Monte Carlo simulation results for the original system are given to check the accuracy of the approximate analytic *** the end of this paper,results are presented to show some quantitative pictures of the effects of the system parameters,noise parameters and viscoelastic parameters on the stability of the viscoelastic plate.