微分等价递归算法在结构体系可靠度分析中的应用  

Application of differential equivalent recursion algorithm in system reliability analysis

作　　者：刘扬[1] 涂荣辉[2] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410083 [2]长沙理工大学桥梁与结构工程学院,湖南长沙410076

出　　处：《长沙交通学院学报》2008年第1期6-11,共6页Journal of Changsha Communications University

基　　金：国家自然科学基金项目(50178011);交通部应用基础研究项目(200631582511);湖南省普通高校青年骨干教师培养对象项目(2005)

摘　　要：利用等价线性失效模式代替两个失效模式的交集,将复杂的高维积分简化为一维积分代数运算问题,大大降低了计算量,推导了等价线性失效模式的解析表达式,提高了等价失效模式的精度,并展示了微分等价递归算法在系统功能函数的重构、体系失效模式识别和体系失效概率的计算等方面的应用,算例结果表明,该方法可以为结构体系可靠度分析提供有效手段.The complicated multi-dimensional integral is simplified to a simple integral algebra calculation by using equivalent linear failure mode, the computation time is reduced enormously. In this paper, the analytical expression of the equivalent failure mode is studied, and the computational accuracy is improved. Based on the analytical expression, the application of different equivalent recursion algorithm is demonstrated during the calculation of system failure probability, the identification of system failure mode and the reconstruction of system performance function, etc.

关 键 词：体系可靠度 失效模式 功能函数 微分等价递归算法 

分 类 号：TU311.2[建筑科学—结构工程]