随机激励下随机结构动力可靠性灵敏度分析  

Dynamic reliability sensitivity analysis for stochastic structures under random excitations

作　　者：乔红威[1] 吕震宙[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《振动工程学报》2008年第4期404-408,共5页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(10572117);新世纪优秀人才支持计划资助项目(NCET-05-0868);航空基础基金(2007ZA53012);民口863计划资助项目(2007AA04Z401)

摘　　要：对于随机激励下随机结构动力可靠性的灵敏度分析问题,在加权非线性响应面法的基础之上建立了随机结构动力可靠性灵敏度分析方法。所提方法从随机结构无条件动力可靠度的表达式出发,首先将随机结构的动力可靠性分析问题转化成传统的静力可靠性分析问题,然后采用基于加权非线性响应面法的Monte-Carlo可靠性灵敏度分析方法求解动力可靠性灵敏度值。算例表明该方法的计算结果是合理的,并且由于加权非线性法具有较高的效率和精度,因而所提方法具有一定的工程意义。For dynamic reliability sensitivity analysis of stochastic structures under random excitations, a new dynamic reliability sensitivity assessment method is presented on the basis of the weighted nonlinear response surface method. From the expressions of the unconditional reliability, the dynamic reliability analysis of the stochastic structure is transformed to a traditional static reliability analysis firstly. Then the dynamic reliability sensitivity are deduced from the weighted nonlinear response surface method and Monte Carlo reliability sensitivity estimation. The example results show that such method is reasonable. Due to the high efficiency and high precision of the weighted nonlinear response surface method, the presented method is valuable for engineering.

关 键 词：随机激励 随机结构 动力可靠性 灵敏度 加权非线性响应面法 

分 类 号：O324[理学—一般力学与力学基础] TB123[理学—力学]