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计算结构可靠指标的循环逼近法
引用本文:许福友,陈艾荣,张建仁. 计算结构可靠指标的循环逼近法[J]. 同济大学学报(自然科学版), 2004, 32(4): 426-430
作者姓名:许福友  陈艾荣  张建仁
作者单位:1. 同济大学,桥梁工程系,上海,200092
2. 长沙理工大学,湖南,长沙,410076
基金项目:国家自然科学基金资助项目(50178011)
摘    要:基于几何原理,建立了可靠指标的新优化模型.对于任何类型变量,该模型均无需计算其当量正态分布的平均值和标准差.将循环筛滤思路引入到该优化模型中,提出了循环逼近法.经算例验证,该算法简便实用,可以快速逼近并确定验算点、求解可靠指标,且具有令人满意的计算精度,为结构可靠指标计算提供了新的有效途径.

关 键 词:可靠指标  几何原理  优化模型  循环逼近法
文章编号:0253-374X(2004)04-0426-05

Iterative Approximation Method for Calculating Structural Reliability Index
XU Fu-you,CHEN Ai-rong,Zhang Jian-ren. Iterative Approximation Method for Calculating Structural Reliability Index[J]. Journal of Tongji University(Natural Science), 2004, 32(4): 426-430
Authors:XU Fu-you  CHEN Ai-rong  Zhang Jian-ren
Affiliation:XU Fu-you1,CHEN Ai-rong1,Zhang Jian-ren2
Abstract:Based on the geometrical principle of reliability index,a new optimization model is produced.For this model,whatever types of variables they may be,there is no need to acquire their equivalent normal distribution means and standard deviations.The concept of iteration and filtering is introduced into the model and the iterative approximation method is proposed.Examples testify that the design point can be searched rapidly and the reliability index can be acquired with satisfactory computational precision by this convenient and practical method.It proves that this method is a new effective approach for the calculation of structural reliability index.
Keywords:reliability index  geometrical principle  optimization model  iterative approximation method
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