改进的微分等价递归算法  

AN IMPROVED DIFFERENTIAL EQUIVALENT RECURSION ALGORITHM

作　　者：张小庆[1] 康海贵[1] 王复明[2] 

机构地区：[1]大连理工大学海岸及近海工程国家重点实验室 [2]郑州大学水利与环境工程学院

出　　处：《土木工程学报》2004年第1期31-38,共8页China Civil Engineering Journal

摘　　要：微分等价递归算法计算简单,在体系可靠度计算中有着广泛的应用。但是传统的微分等价递归算法精度低,并且利用数值差分来求解等价失效模式,计算量大。本文推出了等价线性失效模式的解析表达式,提高了等价模式的精度,并大大降低了计算量;在此基础上,分析了传统微分等价递归算法利用等价线性失效模式代替两个失效模式交集产生误差的原因,提出了改进的微分等价递归算法,从而大幅度地提高了计算精度,为微分等价递归算法在实际工程中的应用奠定了良好基础。Differential equivalent recursion algorithm is widely used in the reliability calculation of structural system because of its simplicity. But its computational accuracy is low, and the computational quantity is large when numerical difference is used to solve the equivalent failure mode. In this paper, the analytical expression of the equivalent failure mode is derived, and the computational accuracy is improved and the computational quantity is reduced enormously. Based on the analytical expression, the causes of errors produced by using equivalent linear failure mode is analyzed and an improved differential equivalent recursion algorithm with high computational accuracy is proposed, which provides a solid foundation for the practical application of this method.

关 键 词：可靠度 体系失效概率 微分等价递归算法 

分 类 号：TU311.2[建筑科学—结构工程]