基于递推公式的随机刚架结构可靠性分析

RELIABILITY ANALYSIS OF STOCHASTIC FRAME STRUCTURE BASED ON RECURRENCE FORMULA

  • 摘要: 基于计算结构力学理论与递推公式相结合的方法,推导出随机刚架结构在退化成机构前各阶段的内力与结构处于初始状态时的内力关系. 因此,在基于随机有限元的可靠性分析过程中,不必反复修改刚阵和进行反向节点力的增加,在极限状态函数对设计变量求导过程中,导数形式只用到了原结构总刚度矩阵和原结构外载向量,这对编写电算程序是有益的. 应用所提的方法与其它基于随机有限元的可靠性分析方法所求得的结果是一致的,且大大提高了计算效率.

     

    Abstract: Based on structural mechanics,the internal force is obtained for the initial structure and the structureat the each failure state before it yields by a collapse mechanism.Thus, the repeated modification of global stiffness matrix andreverse node force can be avoided in the process of stochastic reliabilityanalysis. The partial derivatives of the limit state function to eachvariable can be obtained from the global stiffness matrix and the load vector of the initial structure, which isadvantageous for developing computer programs. It is shown that the result isthe same as using the other reliability method basedstochastic finite element. However, the efficiency is greatly improved.

     

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