非平稳随机激励下基于动力可靠性的结构优化设计  

FIRST PASSAGE FAILURE BASED OPTIMIZATION OF THE STRUCTURES UNDER NON-STATIONARY RANDOM EXCITATION

作　　者：田四朋[1] 唐国金[1] 雷勇军[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《振动与冲击》2004年第3期42-45,49,共5页Journal of Vibration and Shock

基　　金：国防预研基金资助项目 (99J1 9.2 .4 .KG0 1 4 3);湖南省自然科学基金资助项目(OOJJY1 0 0 1 )

摘　　要：基于Priestley的演变谱密度理论 ,对于工程中常用到的衰减指数函数调制的演变过程激励 ,通过对结构响应的合理简化 ,得到响应特征的解析形式。结合首次超越破坏的二状态马尔可夫假设和结构系统可靠性理论计算系统的动力可靠性 ,并在此基础上进行了优化设计。和常用算法相比 ,减少了计算量。Based on Priestley evolutionary spectrum theory, an evolutionary process modulated by decline composite exponential function is investigated as a kind of non-stationary excitation commonly encountered in engineering. And the analytical solution of the response properties is gained through proper simplification. According to the two-state Markov hypothesis and the structural system reliability theory, the structural reliability and the optimization design are discussed. The method can improve efficiency greatly compared with the popular algorithm.

关 键 词：动力可靠性 结构优化设计 首次超越破坏 基础 结构系统可靠性 谱密度 工程 随机激励 马尔可夫 指数函数 

分 类 号：TU311.3[建筑科学—结构工程] O342[理学—固体力学]