| 改进的微分等价递归算法 |
| |
| 引用本文： | 张小庆,康海贵,王复明.改进的微分等价递归算法[J].土木工程学报,2004,37(1):31-38. |
| |
| 作者姓名： | 张小庆 康海贵 王复明 |
| |
| 作者单位： | 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 |
| |
| 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。
|
| 关 键 词： | 可靠度 体系失效概率 微分等价递归算法 |
| 文章编号： | 1000-131X(2004)01-0031-08 |
| 修稿时间： | 2002年5月27日 |
AN IMPROVED DIFFERENTIAL EQUIVALENT RECURSION ALGORITHM |
| |
| Zhang Xiaoqing Kang Haigui Wang Fuming.AN IMPROVED DIFFERENTIAL EQUIVALENT RECURSION ALGORITHM[J].China Civil Engineering Journal,2004,37(1):31-38. |
| |
| Authors: | Zhang Xiaoqing Kang Haigui Wang Fuming |
| |
| Affiliation: | Zhang Xiaoqing Kang Haigui Wang Fuming
(Dalian University of Technology) (Zhengzhou University) |
| |
| Abstract: | 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. |
| |
| Keywords: | reliability system failure probability difference equivalent recursion algorithm |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
