一种基于外罚函数法的结构可靠性分析方法
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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.
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.
引文
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[2]徐铭阳,刘林江.可靠度理论及一次二阶矩法概述[J].山西建筑,2016,42(8):67-68.
[3]冯惠苗,吕长浩.建筑结构可靠度分析方法比较[J].中国房地产业,2015(9):252-254.
[4]熊海宏.基于概率论和证据理论的RBDO方法研究[D].武汉:华中科技大学,2015.
[5]范松,姜潮.一种基于证据理论的结构可靠性优化设计方法[J].中国科学:技术科学,2016,46(7):706-716.
[6]刘杰,卿启湘.结构模糊可靠性分析方法的泛灰求解[J].应用数学和力学,2015,36(3):285-293.
[7] Ashok Bakkiyaraj,N.Kumarappan.Differential Evolution Based Intelligent System State Search Method for Composite Power System Reliability Evaluation[J].Journal of The Institution of Engineers(India):Series B,2015,96(3):237-244.
[8]姜潮,范松.一种高效的概率-证据混合可靠性分析方法[J].计算力学报,2016,33(2):135-143.
[9]马德仲.基于贝叶斯网络和多源信息构建可靠性分析模型方法研究[D].哈尔滨:哈尔滨理工大学,2015.
[10]郑静.随机-认知不确定性的相关性分析模型及可靠性计算方法[J].中国机械工程,2016,27(7):925-933.
[11]马东娟,刘伯颖,李玲玲.基于区间分析的非概率可靠性分析方法[J].机械强度,2015,37(1):84-87.
[12]王林军,邓启程,朱大林,等.一种基于改进一次二阶矩法的混合可靠性分析方法[J].三峡大学学报(自然科学版),2016,38(5):91-97.
[13]刘鹏.基于改进拉丁超立方重要抽样方法的结构可靠性分析[D].广州:暨南大学,2016.
[14]袁小伟.基于有限元的结构可靠性分析[J].现代制造技术与装备,2017(6):54-56.