随机-区间参数平面连续体结构可靠性分析

Reliability Analysis of Random-interval Parameters Planar Continuum Structures

利用3σ准则实现随机变量和区间变量的相互转换。利用区间因子法,导出区间参数结构节点位移、单元应力和单元应变能响应的均值和离差的计算表达式;利用随机因子法,导出随机参数结构响应的均值和均方差,进而解决具有随机-区间参数结构的可靠性分析问题。通过2个算例验证了该方法简单易行及其有效性。

Random variables and interval variables are transformed into each other by criteria.For the interval parameters structures,the computational expressions of numerical characteristics of element stress,node displacement and strain energy responses based on interval factor method are deduced.For the random parameters structures,the computational expressions of numerical characteristics of element stress,node displacement and strain energy responses based on random factor method are presented.Then the problem of reliability analysis of random-interval parameters continuum structures is solved.Two examples illustrate the simplicity and effectiveness of the proposed method.