结构体系失效概率计算的一种快速有效方法

A fast efficient procedure for computing failure probability of uncertain structural systems

提出了结构体系可靠性计算的一种快速、有效的新方法。通过失效模式之间相关度的确定,把系统失效概率的计算归结为各失效模式对应失效概率的权系数的确定。由于不涉及二阶和高阶联合概率的计算,不但有效地减小了计算工作量,且可消除相应的误差。实例对比研究表明,文中方法有足够的精度,且求解方便,计算量小,是实用和有效的。

A fast efficient procedure for computing failure probability of structural systems was presented.In the procedure,computation of failure probability of structural systems was carried out by computing the weighting coefficients of failure probabilities that corresponding to all failure modes,via determining the degree of dependence between failure modes that defined in the paper.Because the computation of the joint probabilities of failure modes is not required,not only the computational cost may be low,but also the corresponding errors may be eliminated.Essentially,the formulation used in the paper to calculate failure probability of structural system is accurate.So,a high accuracte results can be obtained.Three numerical examples were provided to illustrate the validity and feasibility of the presented procedure.