Response of Duffing Rayleigh system with fractional derivative under Gaussian white noise excitation

• 作者: 张冉冉 徐伟 杨贵东 韩群
• 来源期刊: 中国物理B（英文版）
• 关键词: response Duffing-Rayleigh fractional derivative stochastic averaging method
• 年，卷（期）: 2015,（2）
• 页码范围: 020204-1-020204-5
• 页数: 1页
• 语种: 英文
• DOI: 10.1088/1674-1056/24/2/020204

摘要

In this paper, we consider the response analysis of Duffing–Rayleigh system with fractional derivative under Gaussian white noise excitation. A stochastic averaging procedure for this system is developed by using the generalized harmonic functions. First, the system state is approximated by a diffusive Markov process. Then, the stationary probability densities are derived from the averaged It?o stochastic differential equation of the system. The accuracy of the analytical results is validated by those results from the Monte Carlo simulation of original system. Moreover, the effects of different system parameters and noise intensity on the response of the system are discussed as well.