结构系统广义可靠性及数值仿真

Generalized Relliability and Numerical Simulation of the Structural System

建立了结构系统广义可靠性分析模型。根据随机变量可能同时具有随机性和模糊性的特点,分别提出了模糊强度—随机应力、随机强度—模糊应力和模糊强度—模糊应力情况下的模糊可靠性分析方法。同时,建立了结构系统为独立单元部件串联或并联组成的模糊可靠性分析模型。考虑到不同模糊随机变量组合下的可靠性积分一般不存在解析解的情况,提出了用仿真法计算可靠度数值解,并阐述了数值仿真的基本原理和步骤。通过实例介绍了方法的具体运用。

The generalized fuzzy reliability model for the structural system is deduced.Fuzzy strength-random stress, random strength-fuzzy stress and fuzzy strength-fuzzy stress of calculating formulas for the structural system are presented according to variables possibly having fuzzy and random at the same time. The fuzzy reliability model for the series and parallel structural systems is established.The technique of computer simulation is applied to calculating structural system reliability. The basic theory and method of computer simulation are introduced.The utility of the associated methodology is demonstrated by examples.