稳态随机过程激励下基于首次超越破坏的结构优化设计  

First Passage Failure-Based Optimization of the Structures under Stationary Random Excitation

作　　者：田四朋[1] 任钧国[1] 张书俊[1] 

机构地区：[1]国防科技大学航天与材料工程学院,湖南长沙410073

出　　处：《国防科技大学学报》2002年第5期5-9,共5页Journal of National University of Defense Technology

基　　金：国家部委基金资助项目 (99J19.2 .4.KG0 14 3);湖南省自然科学基金资助项目 (OOJJY10 0 1)

摘　　要：把结构系统动力可靠性分析与最优化设计结合起来 ,以结构系统的最小质量为目标函数 ,给出了考虑在平稳随机过程激励下多自由度线性系统总的可靠性的结构优化设计方法。运用谱分析理论 ,推导了结构系统在平稳随机过程激励下响应的统计特征 ,同时结合首次超越破坏的Possion模型计算结构系统的可靠性 ,最终采用广义乘子法得到结构系统设计变量的最优值。Optimization and dynamic reliability analysis of the structural system are combined. A methodology of optimum design based total failure probability of the structural system with multi-degree freedom under stationary stochastic excitation is presented when minimum weight of the structure determined by design parameters is the objective function. According to the spectrum analysis theory, the statistical property of the response of structural system under stationary random excitation is analyzed. At the same time, Possion process model based on first passage failure is used to calculate the reliability of the structure, and the optimum design parameters are finally obtained through Hestenes-Powell (HP) method. The result of evaluated examples demonstrates that the method presented in this paper is effective.

关 键 词：稳态随机过程激励 首次超越破坏 结构优化设计 可靠性 结构系统 

分 类 号：V214.19[航空宇航科学与技术—航空宇航推进理论与工程]