随机结构随机激励下的响应灵敏度分析  

RESPONSE SENSITIVITY ANALYSIS OF STOCHASTIC STRUCTURES UNDER RANDOM EXCITATION

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,西安710072

出　　处：《振动与冲击》2008年第3期60-62,共3页Journal of Vibration and Shock

基　　金：国家自然科学基金(10572117);新世纪优秀人才支持计划(NCET-05-0868);航空基础基金(2007ZA53012);民口863计划(2007AA04z401)联合资助

摘　　要：对于随机激励下随机结构动力响应的灵敏度分析问题,提出基于点估计法的随机结构随机动力响应灵敏度分析方法。所提方法从随机结构响应均方值的均值表达式出发,首先将随机结构响应均方值的均值对基本随机变量分布参数灵敏度转化成求期望值问题,再由求解随机变量函数矩的点估计方法导出求解动力响应灵敏度的计算公式。算例分析表明该方法的计算结果是合理的,并且由于点估计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 response sensitivity analysis of stochastic structures under random excitation, a new dynamic sensitivity assessment method is presented on the basis of the point estimation method. From the expressions of the average of mean square values of the stochastic structural response, the sensitivity analysis is transformed to the problem of solving expectation values, and then the expressions of the dynamic response sensitivity are deduced from the point estimation of the function moment of basic random variables. The example results show that the method is reasonable, and valuable for engineering use due to the efficiency and precision of the point estimation method.

关 键 词：随机激励 随机结构 灵敏度 点估计 

分 类 号：O324[理学—一般力学与力学基础]