非高斯随机激励下滞迟系统响应与首次穿越失效

针对由有界噪声、泊松白噪声和高斯白噪声共同构成的非高斯随机激励，通过Monte Carlo数值模拟方法研究了此激励作用下双线性滞迟系统和Bouc-Wen滞迟系统这两类经典滞迟系统的稳态响应与首次穿越失效时间。一方面，分析了有界噪声和泊松白噪声这两种分别具有连续样本函数和非连续样本函数的非高斯随机激励，在不同激励参数条件下对双线性滞迟系统和Bouc-Wen滞迟系统的稳态响应概率密度、首次穿越失效时间概率密度及其均值的不同影响；另一方面，揭示了在这类非高斯随机激励荷载作用下，双线性滞迟系统的首次穿越失效时间概率密度将出现与Bouc-Wen滞迟系统的单峰首次穿越失效时间概率密度截然不同的双峰形式。

Response and first-passage failure of hysteretic system under non-Gaussian random excitation

Stationary response and first passage failure time of two classical hysteretic systems,bilinear hysteretic system and Bouc-Wen hysteretic system,are investigated by using Monte Carlo simulation method under non-Gaussian random excitation which consists of bounded noise,Poisson white noise and Gaussian white noise in the present paper.As bounded noise is a typical non-Gaussian random excitation with continuous sample functions and Poisson white noise is a typical non-Gaussian random excitation with discontinuous sample functions,different effects of parameters of these two non-Gaussian random excitations are investigated on probability densities of stationary response,probability densities and mean values of first passage failure time of bilinear hysteretic system and Bouc-Wen hysteretic system.It is found that probability density of first passage failure time of bilinear hysteretic system is a typical two-peak function,but which of Bouc-Wen hysteretic system is a one-peak function under such non-Gaussian random excitation.