压杆稳定的非概率可靠性凸集合模型分析方法  

Non-probabilistic reliability model convex set method for stability analysis of compressive bar

作　　者：魏宗平[1] 

机构地区：[1]宝鸡文理学院机电工程研究所,陕西宝鸡721007

出　　处：《工程设计学报》2008年第5期369-372,共4页Chinese Journal of Engineering Design

基　　金：宝鸡文理学院重点科研计划项目(ZK0625)

摘　　要：针对概率可靠性模型对原始数据要求高的局限性,用凸集合模型来描述影响压杆稳定可靠性分析中的不确定参数,利用一阶Taylor展开式基于凸集合模型讨论了压杆稳定分析中不确定性参数对压杆稳定响应的影响,提出了压杆稳定的非概率可靠性度量的指标.此方法对数据的要求低,不用求概率密度函数而且计算简便.通过对工程实例的计算,其结果表明所提出的方法是一种简便而实用的分析方法.Due to the limitation that probabitistic reliability model has high requirement on original data, convex set model is adopted to describe the uncertain parameters of reliability analysis on compressive bar stability. Then the impact of these uncertain parameters on compressive bar stability response based on convex set model is discussed by one order Taylor series expansion, and the non-probabilistic reliability index of compressive bar stability is presented. This analytic method avoids seeking probability density function, with a lower requirement on original data and simpler to compute. Finally, through computation of engineering case study, this approach is demonstrated to be simple and practical.

关 键 词：压杆稳定 不确定参数 凸集合模型 非概率可靠性 

分 类 号：TB114.3[理学—概率论与数理统计] O213.2[理学—数学]