广义可靠指标矢量及其计算与应用
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摘要
对计算相关变量的结构可靠指标及其关系进行研究.在n维广义随机空间中讨论了结构可靠指标的几何意义,据此提出广义可靠指标矢量及其统一计算方法,并检验了其计算精度.应用广义可靠指标矢量讨论了基本随机变量相关性变化对可靠度影响,并给出其影响规律和应用.应用广义可靠指标矢量可方便地分析相关随机变量的结构失效概率、失效模式间相关性计算等结构体系可靠度分析的关键问题.
This paper discusses reliability indexes for correlation variables and their relationships.The generalized reliability index vector(GRIV) and a definition of the reliability index were put forward in the generalized n dimensions random space.Formats for its expression as well as a computational model were provided.Reliability indexes for correlation of random variables can be easily analyzed by GRIV,and its influence rules were discovered.Key questions regarding structural system reliability,examples of structural failure of correlation of random variables and a failure mode correlation index are all expressed by GRIV easily and conveniently.
This paper discusses reliability indexes for correlation variables and their relationships.The generalized reliability index vector(GRIV) and a definition of the reliability index were put forward in the generalized n dimensions random space.Formats for its expression as well as a computational model were provided.Reliability indexes for correlation of random variables can be easily analyzed by GRIV,and its influence rules were discovered.Key questions regarding structural system reliability,examples of structural failure of correlation of random variables and a failure mode correlation index are all expressed by GRIV easily and conveniently.
引文
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[10]赵国藩.工程结构可靠性理论与应用[M].大连:大连理工大学出版社,1996:80-216.
[11]桂劲松,康海贵.结构可靠度分析的响应面法及其Mat-lab实现[J].计算力学学报,2004:21(6):143-147.GUI Jinsong,KANG Haigui.Response surface method forstructural reliability analysis and its realization with Matlab[J].Chinese Journal of Computational Mechanics,2004:21(6):143-147.
[12]INOKUMA A.Basic study of performance-based design incivil engineering[J].J Professional Issues in EngineeringEducation and Practice,2002,128(1):30-35.
[2]李明顺.《建筑结构可靠度设计统一标准》的主要特色[J].建筑科学,2000,16(6):1-4.LI Mingshun.The main characters of"building structuralreliability design code(application)"[J].Building Sci-ence,2000,16(6):1-4.
[3]DITLEVSEN O,MADSEN HO.Structural reliability meth-ods[M].Denmark:Technical University of Denmark,2005:2-20.
[4]王光远.工程软设计理论[M].北京:科学出版社,1992:253-258.
[5]李云贵,赵国藩.结构体系可靠度的近似计算方法[J].土木工程学报,1993,26(5):70-76.LI Yungui,ZHAO Guofan.An approximate method forstructual system realibility analysis[J].China Civil Engi-neering Journal,1993,26(5):70-76.
[6]何钟怡.单一随机扰动源作用下工程结构的失效相关问题[J].地震工程与工程振动,1994,14(2):76-84.HE Zhongyi.Failure-dependenc of engineering structuresunder action of a stochastically distubing source[J].Earth-quake Engineering and Engineering Vibration.1994,14(2):76-84.
[7]张治勇,刘殿魁,孙柏涛.考虑失效相关的电力系统抗震可靠性研究[J].地震工程与工程振动,1999,19(1):81-86.ZHANG Zhiyong,LIU Diankui,SUN baitao.Study ofaseismic reliability of power system considering failure corre-lation[J].Earthquake Engineering and Engineering Vibra-tion.1994,14(2):76-84.
[8]侯钢领,欧进萍.结构可靠指标矢量及其计算与应用[J].计算结构力学学报,2002,19(2):143-147.HOU Gangling,OU Jinping.Computation and applicationsof structural reliability index vectors[J].Chinese Journal ofComputational Mechanic,2002,19(2):143-147.
[9]《数学手册》编写组.数学手册[M].北京:人民教育出版社.1979:90-112.
[10]赵国藩.工程结构可靠性理论与应用[M].大连:大连理工大学出版社,1996:80-216.
[11]桂劲松,康海贵.结构可靠度分析的响应面法及其Mat-lab实现[J].计算力学学报,2004:21(6):143-147.GUI Jinsong,KANG Haigui.Response surface method forstructural reliability analysis and its realization with Matlab[J].Chinese Journal of Computational Mechanics,2004:21(6):143-147.
[12]INOKUMA A.Basic study of performance-based design incivil engineering[J].J Professional Issues in EngineeringEducation and Practice,2002,128(1):30-35.
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