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工程力学  2014 

基于Copula函数的并联结构系统可靠度分析

, PP. 32-40

Keywords: 联合概率分布函数,不完备概率信息,相关性,Copula,系统失效概率

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Abstract:

不完备概率信息条件下变量联合分布函数的确定及其对结构系统可靠度的影响还缺少系统地研究,该文目的在于研究表征变量间相关性的Copula函数对结构系统可靠度的影响规律。首先,简要介绍了变量联合分布函数构造的Copula函数方法。其次,提出了并联系统失效概率计算方法,并推导了相应的计算公式。最后以几种典型Copula函数为例研究了Copula函数类型对结构并联系统可靠度的影响规律。结果表明:表征变量间相关性的Copula函数类型对结构系统可靠度具有明显的影响,不同Copula函数计算的系统失效概率存在明显的差别,这种差别随构件失效概率的减小而增大。当并联系统的失效区域位于Copula函数尾部时,Copula函数的尾部相关性对系统可靠度有明显的影响,计算的失效概率比没有尾部相关性的Copula函数的失效概率大。当组成并联系统的两构件功能函数间正相关时,系统失效概率随相关系数的增大而增加;当构件功能函数间负相关时,系统失效概率随相关系数的增大而减小。此外,无论构件失效概率和变量间相关系数如何变化,Copula函数计算的失效概率都位于系统失效概率的上下限内。

References

[1]  K. Statistical modeling of joint probability distribution using copula: Application to peak and permanent displacement seismic demands [J]. Structural Safety, 2010, 32(2): 112―123.
[2]  B J. Probabilistic assessment of weld fatigue damage for a nonlinear combination of correlated stress components [J]. Probabilistic Engineering Mechanics, 2011, 26(3): 492―500.
[3]  X S, Li D Q, Chen Y F, et al. Improved knowledge-based clustered partitioning approach and its application to slope reliability analysis [J]. Computers and Geotechnics, 2012, 45: 34―43.
[4]  D Q, Tang X S, Phoon K K, et al. Bivariate simulation using copula and its application to probabilistic pile settlement analysis [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2013, 37(6): 597―617.
[5]  Kiureghian A, Liu P L. Structural reliability under incomplete probability information [J]. Journal of Engineering Mechanics, 1986, 112(1): 85―104.
[6]  A H-S, Tang W H. Probability concepts in engineering: Emphasis on applications to civil and environmental engineering [M]. New York: John Wiley and Sons, 2007: 138―140.
[7]  李典庆, 周创兵. 二维联合分布函数构造方法及其对结构可靠度的影响分析[J]. 工程力学, 2012, 29(7): 69―74.[7] Wu Shuaibing, Li Dianqing, Zhou Chuangbing. Bivariate construction methods and its effect on structural reliability [J]. Engineering Mechanics, 2012, 29(7): 69―74. (in Chinese)
[8]  李典庆, 周创兵. 联合分布函数蒙特卡罗模拟及结构可靠度分析[J]. 工程力学, 2012, 29(9): 68―74. Wu Shuaibing, Li Dianqing, Zhou Chuangbing. Monte Carlo simulation of multivariate distribution and its application to structural reliability analysis [J]. Engineering Mechanics, 2012, 29(9): 68―74. (in Chinese)
[9]  吴帅兵, 周创兵, 等. 二维联合概率密度函数构造方法及结构并联系统可靠度分析[J]. 工程力学, 2013, 30(3): 37―45.[9] Li Dianqing, Wu Shuaibing, Zhou Chuangbing, et al. Bivariate distribution construction method and its application to structural parallel system reliability analysis [J]. Engineering Mechanics, 2013, 30(3): 37―45. (in Chinese)
[10]  李典庆, 周创兵. 结构可靠度分析中变量相关时三种变换方法的比较[J]. 工程力学, 2011, 28(5): 41―48. Wu Shuaibing, Li Dianqing, Zhou Chuangbing. Comparison among three transformation methods for structural reliability analysis with correlated variables [J]. Engineering Mechanics, 2011, 28(5): 41―48. (in Chinese)
[11]  R, Dutfoy A. A generalization of the Nataf transformation to distributions with elliptical copula [J]. Probabilistic Engineering Mechanics, 2009, 24(2): 172―178.
[12]  R, Dutfoy A. An innovating analysis of the Nataf transformation from the copula viewpoint [J]. Probabilistic Engineering Mechanics, 2009, 24(3): 312―320.
[13]  R B. An introduction to Copulas [M]. New York: Springer, 2006: 214―216.
[14]  U, Luciano E, Vecchiato W. Copula methods in finance [M]. Chichester: John Wiley and Sons, 2004: 49―93.
[15]  S. Modelling bivariate rainfall distribution and generating bivariate correlated rainfall data in neighbouring meteorological subdivisions using copula [J]. Hydrological Processes, 2010, 24(24): 3558―3567.
[16]  李典庆, 周创兵, 等. 联合分布函数构造的Copula函数方法及结构可靠度分析[J]. 工程力学, 2013, 30(12): 8―17, 42.[16] Tang Xiaosong, Li Dianqing, Zhou Chuangbing, et al. Modeling bivariate distribution using copulas and its application to component reliability analysis [J]. Engineering Mechanics, 2013, 30(12): 8―17, 42. (in Chinese)
[17]  A. Fonctions de répartition àn dimensions et leurs marges [J]. Publications de l’Institut de Statistique de l’Université de Paris, 1959, 8: 229―231.

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