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 method.To 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 exponent.Furthermore,the Monte Carlo simulation results for the original system are given to check the accuracy of the approximate analytic results.At 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.
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 method. To examine the moment stability property of the viscoe- lastic system, we use the stochastic averaging method, Girsanov theorem and Feynmann-Kac formula to derive the approxi- mate analytic expansion of the moment Lyapunov exponent. Furthermore, the Monte Carlo simulation results for the original system are given to check the accuracy of the approximate analytic results. At 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.
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)
