关于不确定结构非概率可靠性计算的研究  

RESEARCH ON THE CALCULATION OF THE NON-PROBABILISTIC RELIABILITY OF UNCERTAIN STRUCTURES

作　　者：张建国[1] 陈建军[1] 江涛[1] 马孝松[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《机械强度》2007年第1期58-62,共5页Journal of Mechanical Strength

基　　金：国防预研基金(51421060505DZ0155);陕西省自然科学基金(2002A14)资助~~

摘　　要：将结构的不确定参数描述为区间变量,基于非概率可靠性模型研究结构可靠性的两种计算方法。一种方法是先优化得到结构功能函数的最大和最小值,再计算功能函数均值和离差的比值;另一种是将功能函数标准化,并构造一种有约束优化模型,最优解分量的绝对值即非概率可靠性指标。算例表明,两种算法对于任意功能函数都是可行的;对于线性功能函数,两者等效;对于非线性功能函数,两者略有差异。计算的差异来源于两种非概率可靠性定义的不同。The uncertain parameters of structures were expressed by interval variables, and based on a non-probabilistie reliability model, two methods for structural reliability computation were produced. One method was getting the maximum and the minimum of the structural performance function by optimization, and then calculating the ratio of mean-value to deviation of the performance function. Another method was normalizing the performance function, and then giving a constrained optimization model. And the absolute value of each component of the optimal solution was the reliability specification of the non-probabilistic model. Mathematical examples show that the two methods presented are practicable for any performance functions; and they are equivalent for linear performance functions and a little different for nonlinear ones. The computing difference comes from the fact that the two definitions of non-probabilistic reliability are different.

关 键 词：不确定结构 凸集模型 区间变 量非概率可靠性 

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