随机非线性系统失效模式动态相关性分析  

DYNAMIC CORRELATION ANALYSIS OF FAILURE MODES FOR NONLINEAR STOCHASTIC VIBRATION SYSTEM

作　　者：张义民[1] 张旭方[1] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110004

出　　处：《振动与冲击》2008年第11期27-31,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金重点项目(50535010);辽宁省自然科学基金项目(20052034)

摘　　要：基于结构破坏的首次穿越模型,应用随机结构分析概率摄动法确定系统响应及系统不同失效模式之间动态相关性。数值算例表明,随机非线性系统不同位移之间、位移与速度之间均存在相关性;系统不同失效模式间同样具有相关性,并且在考察的大部分状态下,这种相关性具有动态、强相关等特点,相关失效是系统失效的主要模式。数值算例中计算结果应用Monte Carlo随机模拟方法进行验证均较好吻合,表明了该方法是能够满足工程计算要求的,从而为非线性随机振动系统不同失效模式问动态相关系数的确定提供方法参考。A numerical method for dynamic correlation analysis of failure modes for nonlinear random vibration sys- tem was presented.Based on the first passage failure model,the probability purterbation method was emloyed to determine the statistical characteristics of failure modes and the correlations between them.The numerical results reveal that in most of cases,though the system is characterized by a set of independent random parameters,the responses are strongly correla- ted,and the correlation coefficients between the responses fluctuate with time.The correlated failure modes are the main causes of system failure.The results are verified by Monte-Carlo simulations.

关 键 词：动态相关性分析 非线性随机振动 概率摄动法 首次穿越失效 

分 类 号：O324[理学—一般力学与力学基础]