基于对偶规划和可靠度的一种桁架结构优化方法

用结构分析的有限元法给出桁架元件的内力，并由计算机自动形成失效模式的安全余量方程，基于分枝限界法，提出了一种准确判认主要失效模式的新方法。用近似公式计算结构系统的可靠度，导出了结构系统可靠度的敏度分析表达式，采用对偶规划求解了结构系统可靠度为约束的最小重量设计问题，计算了若干例题，结果表明，本文提出了方法相当有效。

A Truss Structural Optimization Method Based On Dual Programming And Reliability

This paper gives the internal force of members of truss structures by using the finite element method of structural analysis. The Safety margin of the failure modes is generated automaly by computer.Based branch-and-bound method,a new method to identify the dominant failure modes is presented.The reliability of the Structural system is cvalutcd by approximate formula.The expressions of sensitivity analysis of the reliability for the Structural system are derived.The dual programming is adopted to solve the minimal weight design Problem which is constrained by reliability of the structural system.Several examples are evaluated,the results show that the method presented by the paper is quite efficient.