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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。
The reliability analysis method of single degree of freedom nonlinear vibration system with random parameters is described. The fourth-order moment technique is used to determine the first four moments of the system response and state function. The application of Edgeworth series is used to expand the probability distribution of unknown response and state function into the standard normal distribution. The reliability of the system is obtained.