有限元可靠度方法在桥梁工程中的应用

一次二阶矩法是目前求解结构可靠性分析的主要计算方法之一．该方法要求功能函数对随机变量的偏导运算。然而对于以有限元方法分析为主的桥梁结构．无法对其隐式功能函数进行显式求导．限制了一次二阶矩法的应用。本文给出了隐式功能函数可靠度的随机有限元解决方案．考虑了有限元方法和可靠度方法结合使用过程中，经典一次二阶矩法的改造问题。算例表明，该方法能够适用于基于有限元的结构可靠度分析，并在求解过程中给出随机变量的敏感系数。

Application of finite element reliability method in bridge engineering

Reliability analysis using First Order Second Moment(FOSM)is important for structural probability design,in which process demands the derivative operation.However,aiming at efficiency and accuracy,most structural analysis is made with Finite Element Method(FEM)or other numerical methods.This case makes the limit functions implicit and difficult to derivative.It presents one reliability FEM solution for the implicit function.Example and model analysis indicate that the solution presented is easily applied and extended for new theory,which therefore is full of promising development.