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基于微粒群算法的区间模型非概率可靠性指标的计算
引用本文:崔智勇,范小宁.基于微粒群算法的区间模型非概率可靠性指标的计算[J].计算力学学报,2016,33(6):863-867.
作者姓名:崔智勇  范小宁
作者单位:太原科技大学机械工程学院,太原,030024
基金项目:国家自然科学基金(51275329)资助项目.
摘    要:把工程实际中的不确定参数考虑为区间变量,研究基于微粒群算法的区间模型非概率可靠性指标的计算。利用非概率可靠性指标只存在于过标准化区间变量张成的空间顶点和原点的直线与功能函数的交点,建立基于微粒群算法的优化模型,并对目标函数进行改进,使其更利于优化计算。一系列数值算例和与以前方法的比较证明了该方法计算简便,结论较为精确,具有一定的可行性。

关 键 词:区间模型  非概率可靠性指标  一维优化算法  微粒群算法
收稿时间:2015/7/7 0:00:00
修稿时间:2015/9/2 0:00:00

Calculation of non-probabilistic reliability index of interval model based on PSO
CUI Zhi-yong,FAN Xiao-ning.Calculation of non-probabilistic reliability index of interval model based on PSO[J].Chinese Journal of Computational Mechanics,2016,33(6):863-867.
Authors:CUI Zhi-yong  FAN Xiao-ning
Institution:School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China;School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China
Abstract:The uncertain parameters in engineering is considered as interval variables and the non-probabilistic reliability index of interval model based on particle swarm optimization is studied.Based on the conclusions that the non-probabilistic reliability index exists only in the line which through the vertex and the origin in the space extended by the standard interval variables and function,establish the optimization model based on PSO and improve the objective function to make it more conducive to calculate.Through a series of numerical examples and comparison with previous methods,the method is proved to be simple and accurate,and it has a certain feasibility.
Keywords:interval model  non-probabilistic reliability index  one dimensional optimization algorithm  PSO
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