基于计算结构力学概念,提出框架结构强度和刚度耦合的可靠性分析方法,解决了极限状态函数和内力的连续生成问题.将该方法与分枝定界法相结合对系统加以分析,计算了结构的总体失效概率.文中方法实现了变更结构的连续可靠性分析,简化了繁琐的总刚运算,为结构退化为机构提供了新判据,加快了系统失效模式的搜索速度,提高了结构系统可靠性分析的时效.
According to the concept of computational structural mechanics, a method to analyze the coupling reliability of strength and stiffness in the frame structure is presented to continuously generate the internal force and limit state function of the structure. The proposed method is then combined with the branch-and-bound method to evaluate the total failure probability of the system. As the proposed method simplifies the global stiffness matrix operation, the continuous analysis of reliability for the variational structure can be realized, and a new criterion of the degenerating from the structure into the mechanism can be obtained. Thus, the searching speed of systemic failure modes and the efficiency of reliability analysis are both improved.