工程模糊随机结构失效模式的确定方法  

DETERMINATION FOR THE FAILURE MODELS IN THE FUZZY-RANDOM ENGINEERING STRUCTURES

作　　者：刘长虹[1] 陈虬[1] 吕震宙[2] 郑长卿[2] 

机构地区：[1]西南交通大学应用力学与工程系,成都610031 [2]西北工业大学工程力学系,西安710072

出　　处：《机械强度》2001年第3期302-304,共3页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目 (596780 39;595750 4 0 )~~

摘　　要：根据模糊数学中的有关定义 ,提出在考虑模糊因素影响时 ,利用λ 截集法将模糊随机结构的极限状态方程转化为普通的随机集上的极限状态方程 ,然后用响应面方法确定结构失效模式的新方法。计算与分析表明 ,该方法的求解范围比一般的随机有限元方法广 ,而且几乎可以不加限制地与其他算法例如有限元、边界元、有限差分法等相结合。The random interval limit state function is obtained by λ-level cutting the fuzzy-random limit state function. Based on the relations of variables to the problem, the random interval limit state function is transformed into solving two kinds of general limit state functions. Then a Response Surface (RS) method, which is composed of Polynomial Fitting method, Rackwitz-Fiessler method and Monte Carlo simulation method, is proposed to simulate the limit state surface in actual engineering. In conjunction with the RS method in structural reliability analysis, the stationary and dynamic state large structural analysis programs ADINA can be used without modification to solve the probability problem in the large complex structural engineering. Finally examples show the accuracy and efficiency of the method with the contest of highly nonlinear and structurally complex reliability problem, and the set of fuzzy reliability in the structure is also discussed.

关 键 词：模糊 随机 响应面 工程结构 失效模式 

分 类 号：TB114.3[理学—概率论与数理统计] O159[理学—数学]