二维弹性接触问题中随机边界元法与可靠性分析

2 D Elastic Stochastic Boundary Element Methods and the Analysis of Reliability in Contact Problem

发展了二维弹性接触问题中的随机边界元法，推导并建立了相应的随机边界元基本方程，并将所发展的方法用于静强度的可靠性分析，讨论了其数值解技术。通过算例分析表明，本文发展的方法是可行的。

In this paper, the integral equations of stochastic boundary element methods (SBEM) for 2 D elastic contact problems and the corresponding formula are derived with the help of the partial derivative techniques to fundamental stochastic variables. By considered the material parameters and loads as stochastic variables, the techniques of reliability analysis are also introduced in this paper. The examples which are two contact cylinders and the fir tree tenon/mortise problem show that the analysis method developed in this paper can be used to solve the 2 D elastic contact problems.