非参数概率系统非平稳随机响应研究  

Non-Stationary Random Response of Nonparametric Probabilistic System

作　　者：赵岩[1,2] 张亚辉[1] 林家浩[1] 

机构地区：[1]大连理工大学,大连116024 [2]重庆交通大学,重庆400067

出　　处：《应用力学学报》2009年第1期146-150,217,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50608012,10502011);辽宁省博士启动基金

摘　　要：对复杂系统的测量和知识的有限性造成的不确定很难完全由随机参数模型进行描述,采用随机矩阵模型更具有一般性和合理性。本文应用随机矩阵模拟不确定线性动力系统有限元模型中质量阵、阻尼阵和刚度阵的概率不确定性。综合运用虚拟激励法和精细时程积分法建立了非参数概率系统非平稳随机响应的有效计算方法。数值模拟结果表明,对于高精度制造,模型的不确定性是不能忽略的。本文提出的算法为此类问题求解提供了一条有效途径。Due to the limitation taking place in measures and knowledge for the complex system,to describe the uncertainties of the structural models by random parameters is difficult.The random uncertainties of the mass,damping and stiffness matrices in the uncertain dynamic system can be simulated by random matrices.A high efficiency pseudo excitation method combining with precise integration method for the dynamic responses analysis of the nonparametric probability system subjected to non-stationary random load is developed.A numerical example shows that the uncertainties of models can not be ignored for precise manufacture.The proposed method is quite useful in the analysis of such problems.

关 键 词：随机矩阵 非参数概率模型 随机振动 虚拟激励法 精细积分法 

分 类 号：U441.3[建筑科学—桥梁与隧道工程]