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.
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.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2004年第4期426-430,共5页
Journal of Tongji University:Natural Science
基金
国家自然科学基金资助项目(50178011)
关键词
可靠指标
几何原理
优化模型
循环逼近法
reliability index
geometrical principle
optimization model
iterative approximation method
