在一般随机有限元法的基础上,给出了在随机参数的联合概率密度函数未知的情况下,具有相关失效模式的非线性动态随机结构系统可靠性分析的方法。应用四阶矩技术、最大嫡理论、边缘概率分布函数的概念和不完全概率信息理论,解决了多自由度非线性随机结构振动系统的首次超限破坏问题。 Based on the general stochastic finite element method, the reliability analysis of nonlinear dynamic stochastic structural system with correlated failure modes under the condition that the joint probability density function of random parameters is unknown is given. By using the fourth moment theory, the maximal theory, the concept of marginal probability distribution function and the incomplete probability information theory, this paper solves the problem of first-time overrun of a nonlinear system with multiple degrees of freedom.