单自由度非线性随机参数系统的可靠性分析

Reliability Analysis of Single-Degree-of -Freedom Nonlinear Systems with Random Parameters

阐述了具有随机参数的单自由度非线性振动系统的可靠性分析方法。使用四阶矩技术确定了系统响应和状态函数的前四阶矩，应用Ｅｄｇｅｗｏｒｔｈ级数把未知响应和状态函数的概率分布展开成标准正态分布的表达式，从而获得了系统的可靠度。

his paper presents the reliability analysis method of uncertain single -degree-of- freedom nonlinear systems. The fourth-moments technique is employed to determine the first four moments of the system response and the state function. The distribution functions of the system response and the state function are approximately expressed in terms of the standand normal distribution functions by using Edgeworth series approach such that the reliability is obtained.