含指数积分型阻尼和周期激励系统的稳态随机响应分析

摘要

运用基于短时高斯逼近的广义胞映射方法,研究了含指数积分型非粘性阻尼和周期激励系统在高斯白噪声作用下的稳态响应.首先介绍了方法的实施过程,并推导了系统的矩方程.然后给出了系统的稳态概率密度函数,分析了阻尼系数和松弛参数对稳态响应的影响,并通过直接Monte Carlo模拟的结果验证了广义胞映射方法的有效性.%The steady-state response of a system with the non-viscous exponential damping and perodic excitation is studied by the generalized cell mapping method based on short-time Gaussian approximation.The process of the method is firstly introduced, and the moment equations are derived.The steady-state response probability density functions are then presented, in which the effect of damping coefficient and relaxation parameter on the probability density functions is discussed.The validity of the generalized cell mapping method is demonstrated by the results from direct Monte Carlo simulation.