摘要
针对含不确定性可靠性设计优化问题,提出了一种基于外罚函数法的结构可靠性分析方法.该方法通过惩罚因子,构建增广可靠性优化设计目标函数,将可靠性优化问题转化为一系列无约束优化问题,然后利用惩罚因子逐步迭代求解可靠性指标.数值算例和工程算例表明该方法对于具有一定非线性程度的功能函数具有良好的收敛性以及较高的计算效率.
Aiming at the design optimization problem with uncertainty reliability,a method of structural reliability analysis based on the exterior penalty function method is proposed.This method constructs the augmented reliability optimization design objective function through the penalty factor,transforms the reliability optimization problem into a series of unconstrained optimization problems;and then uses the penalty factor to iteratively solve the reliability index.Numerical examples and engineering examples show that the method has good convergence and high computational efficiency for functional functions with a certain degree of nonlinearity.
作者
王林军
王锬
杜义贤
徐柳
黄文超
刘晋玮
Wang Linjun;Wang Tan;Du yixian;Xu Liu;Huang Wenchao;Liu Jinwei(College of Mechanical & Power Engineering,China Three Gorges Univ.,Yichang 443002,China)
出处
《三峡大学学报（自然科学版）》
CAS
北大核心
2019年第1期92-96,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金资助项目(51775308)
关键词
优化模型
外罚函数法
惩罚因子
可靠性指标
optimization model
exterior penalty function method
penalty factor
reliability index
