基于随机因子的结构分析方法  

STRUCTURAL ANALYSIS METHOD BASED ON RANDOM FACTOR

作　　者：陈建军[1] 马洪波[1] 马娟[1] 张建国[1] 王敏娟[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《工程力学》2012年第4期15-23,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(50905134);国家863高技术研究发展计划项目(2006AA04Z402)

摘　　要：该文对随机结构的分析方法进行了分类,简述了近年来提出的基于随机因子的结构分析方法的基本求解过程。对随机结构分析中的随机变量分布概型的确定、随机载荷的处理和随机参数相关性的处理等问题进行了讨论。对随机因子法在结构分析和边界条件的处理、动力特性和动力响应分析、随机振动响应分析和动力可靠性分析、智能结构在开环和闭环状态下的动力分析、随机稳态和瞬态的温度场分析以及随机参数结构在随机热载荷下的响应分析等诸多方面的应用进行了综述。The analytical methods for the random structures are firstly summarized and classified,and the derivation and solution processes of the structural analytical methods based on the Random Factor Method（RFM） proposed in recent years are then introduced.Some hot topics are discussed,such as how to determine the probabilistic distribution of random variables existing in the random structural analysis,how to deal with the random loads and the correlation among the random structural parameters.Finally,the applications of RFM are commented and reviewed to different problems of structural analyses,for instance,the bound condition,the dynamic characteristic and dynamic response analyses,random vibration response analysis,the dynamic reliability analysis,the dynamic analyses of intelligent structures in the open-loop or close-loop state,the temperature field analysis of random steady or transient state and the response analysis of structures with random parameters under random heat loads.

关 键 词：随机结构 随机因子 完全概率 结构分析 动力特性 响应分析 

分 类 号：O302[理学—力学]