任意分布参数结构系统频率可靠性灵敏度研究  

Research on the Frequency Reliability Sensitivity of Structural Systems with Arbitrarily Distributed Parameters

作　　者：吕春梅[1] 张义民[1] 王新刚[1] 周娜[1] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2011年第7期992-995,共4页Journal of Northeastern University(Natural Science)

基　　金：长江学者和创新团队发展计划项目(IRT0816);"高档数控机床与基础制造装备"科技重大专项(2010ZX04014-014);国家自然科学基金资助项目(50875039);"十一五"国家科技支撑计划项目(2009BAG12A02-A07-2)

摘　　要：在对具有正态分布参数系统的频率可靠性及其灵敏度研究的基础上,在设计参数前四阶矩已知的情况下,利用Edgeworth级数法把服从任意分布的标准化的随机变量的概率分布函数近似地展开成标准正态分布函数,推导出任意分布参数的频率可靠度及其灵敏度的计算公式.在推导过程中放松了对随机变量向量X分布概型的限制,使其更接近于工程实际,提高了工程设计中的精度.并应用实例对具有独立失效模式的任意分布参数的多自由度连续随机动态结构系统的频率可靠性进行了研究,也进一步说明了所提方法的有效性和实用性.Based on the research of structural systems with normally distributed parameters,the formulas of frequency reliability and its sensitivity were derived when the random variables were arbitrarily distributed.The unknown probability distribution function was expanded into standard normal distribution function by the way of Edgeworth expansion in the condition that the first four moments of the parameters are known.Meanwhile,the probability distribution type of the random variable moment X was loosely restricted,which was more close to the engineering practice.The efficiency and accuracy of the proposed method were demonstrated by a practical example,which is a multi-degree-of-freedom random continuous dynamic structural systems with arbitrarily distributed parameters and independent failure mode.

关 键 词：结构系统 共振 频率可靠性 灵敏度 任意分布 

分 类 号：TB114.3[理学—概率论与数理统计]