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随机变量的相关性和结构可靠度
引用本文:姚继涛,董振平.随机变量的相关性和结构可靠度[J].西安建筑科技大学学报(自然科学版),2000,32(2):114-118.
作者姓名:姚继涛  董振平
作者单位:西安建筑科技大学土木工程学院,陕西,西安,710055
摘    要:随机变量的相关性对结构可靠度有不可忽略的影响。本文给出了反映转换前后相关系数之间关系的积分方程,并针对常遇的分布类型给出转换后相关系数的表达式,以及相应的结构可靠指标计算方法。

关 键 词:结构可靠度  概率  相关性  随机变量
文章编号:1006-7930(2000)02-0114-05
修稿时间:2000-02-23

Correlativity of random variables and structural reliability
YAO Ji-tao,DONG Zheng-ping.Correlativity of random variables and structural reliability[J].Journal of Xi'an University of Architecture & Technology,2000,32(2):114-118.
Authors:YAO Ji-tao  DONG Zheng-ping
Affiliation:YAO Ji-tao ,DONG Zheng-ping ;(School of Civil Engineering, Xi'an Univ. Of Arch. & Tech., Xi'an 710055, China)
Abstract:Correlativity of random variables has obvious effect on structural reliability. In the case of abnormal dependent variables, it is generally considered that the coefficient of correlativity before and after the transformation of abnormal variables to normal ones approximately equal to each other. An integral equation which reflects the relation ship between coefficient of correlativity before and after transformation in this paper. Moreover, explicit expression of coefficient of correlativity after transformation is provided in connection with some kinds of distributions of random variables. The method to calculate the reliability index is presented as well.
Keywords:structural reliability  probability  correlation
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