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经典的体系可靠度分析仅涉及构件的抗弯失效,而未考虑可能发生的抗剪失效和抗扭失效等其他失效机制。为此,文中对经典的体系可靠度进一步拓展,提出考虑多重失效机制的体系可靠度问题,进而在概率密度演化理论的框架中,针对静定结构和超静定结构,分别引入等价极值事件和吸收边界条件,导出等价极值变量的密度变换解和考虑吸收边界条件的广义目标量的密度变换解。由于密度变换解的特殊形式,引入δ序列逼近的思想,获得各类密度变换解的δ序列逼近算法。最后,通过多个算例验证文中建议算法的合理性和有效性,同时指出抗剪失效机制对失效概率的贡献并不总是可以忽略,需慎重对待。
The classical reliability analysis of the system involves only the bending failure of the component without considering other failure mechanisms such as shear failure and torsional failure that may occur. To this end, the paper further expands the reliability of the classical system and proposes a system reliability problem that considers multiple failure mechanisms. In the framework of the theory of probability density evolution, for the static structure and the statically indeterminate structure, Event and absorbing boundary conditions, derivation of density transformation solutions of equivalent extreme variables, and density transformation solutions of generalized target quantities considering absorbing boundary conditions. Due to the special form of density transformation solution, the idea of δ sequence approximation is introduced to obtain the δ sequence approximation algorithm of various density transformation solutions. Finally, several examples are used to verify the rationality and validity of the proposed algorithm in the paper. At the same time, it is pointed out that the contribution of shear failure mechanism to failure probability is not always negligible and should be treated with caution.