基于随机有限元的结构优化设计

Optimization Based on the Stochastic Finite Element Method

主要探讨了用随机有限元法分析结构可靠度及优化设计的方法，优化方法采用直接法中有代表性的复形法，设计中考虑了荷载和抗力的随机性；优化模式中，用强度、稳定等的可靠性约束取代传统的优化模式中的确定性静态约束，进行结构体形优化．最后对工程实例进行分析计算，得出一些有益的结论．

This paper is mainly concerned with the reliability of structure and its optimization based on the stochastic finite element method. It uses symbolic complex method in direction methods to analyze optimization,dealing with satisfying features of loads and resisting forces. In the optimization model,the reliable constraint of the strength and stability takes the place of the traditional determined static constraint for the optimization of the shape of structure. Finally,good results are obtained based on analysis and calculation of a gravity dam.