结构的能度可靠性方法和随机可靠性方法的比较  

Comparison of possibilistic reliability and stochastic reliability me thods for uncertain structures

作　　者：郭书祥[1] 吕震宙[2] 张陵[1] 

机构地区：[1]西安交通大学机械结构强度与振动国家重点实验室 [2]西北工业大学飞机工程系,陕西西安710072

出　　处：《计算力学学报》2003年第4期446-450,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金 (595750 4 0;597750 32 );航空基金 (00B530 1 0 )资助项目

摘　　要：对能度可靠性方法和传统的随机可靠性方法 ,在不确定性的处理、模型结构和基于可靠性的结构优化设计等方面进行了比较研究。得到了一些有益的结论。说明了能度可靠性方法的有效性和优越性。由于结构的能度可靠性模型对已知数据的要求较低 ,计算过程较为简便。从而可使结构可靠性分析和设计中获取数据的难度大大降低 ,并有效降低计算工作量。Traditional stochastic reliability method has been widely accepted and used in the analysis and design of the structures. A comparing possibilistic reliability method with the traditional stochastic reliability method is proposed. Firstly, we compared the two reliability methods in the modeling of uncertainties, model construction, and formulations for computation, etc. Then, we compared the structural optimization based on the reliability through a practical example. Some beneficial conclusions were obtained. Some results show that, if there is sufficient information to build an accurate model of uncertainties, the results of possibilistic reliability based on the optimization may will be consistent with the stochastic reliability method. Whereas, when little information is available to build an accurate stochastic model, the stochastic reliability calculation may lead to the large errors, but the possibilistic reliability procedure may offer safer results. It is demonstrated further that the possibilistic reliability method for the structures is reasonable, effective and useful.

关 键 词：能度可靠性 随机可靠性 比较分析 优化设计 结构可靠性 结构设计 模糊测度 

分 类 号：TU311.2[建筑科学—结构工程] TB114.3[理学—概率论与数理统计]