梁板结构系统可靠性分析的关键问题研究

梁板结构系统在多随机变量(如元件的面积、厚度、材料弹性模量、外荷载及元件强度等基本随机变量)影响下，进行可靠性分析时，是一个比较复杂的问题。本文就可靠性分析的关键问题进行研究，即建立概念清晰，含有基本变量的安全余量；给出随机有限元分析方法；给出板元和梁元失效后，减缩刚阵和反向节点力的计算公式。最后给出一个算例，说明该方法的应用。

Research on key problem about system reliability analysis of beam & plate type structures

It is a very complex problem that reliability analysis of the beam & plate type structural systems is carried out under the effect of several random variables (basic random variables such as member area,thickness,material's modulus of elasticity,loads and strength etc.).In this paper,the key problems are researched about the reliability analysis,i.e.we established the safety margins contained basic variable with the distinct concept,explained the analysis approach based on the stochastic finite element method and given the calculate formulae of the reduced member stiffness matrix and the opposite sign of the equivalent nodal force with failure occurred at beam-member or plate-member.Finally,a calculation of an example is presented,explaining the application by this means.