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PROCEDURE FOR COMPUTING THE POSSIBILITY AND FUZZY PROBABILITY OF FAILURE OF STRUCTURES
作者姓名:郭书祥  吕震宙
作者单位:Faculty of Mechanics,Engineering Institute,Air Force Engineering University,Department of Aircraft Engineering,Northwestern Polytechnical University Xi'an 710038,P.R.China,Xi'an 710072,P.R.China
基金项目:theNationalNaturalScienceFoundationofChina ( 595750 40 ,597750 3 2 ),theAeronauticsScienceFoundationofChina ( 0 0B53 0 1 0 )
摘    要:IntroductionTheinitiationofreliabilitytechniqueswasduetotheexistenceoflargeamountofuncertaintiesinengineering .Accordingtothedifferencesintheproducedcauseandphysicalmeaning,uncertaintiesmaybedividedgenerallyintothreetypes:randomness,fuzzinessandunascer…

收稿时间:18 March 2001

Procedure for computing the possibility and fuzzy probability of failure of structures
Guo Shu-xiang,Lü Zhen-zhou.PROCEDURE FOR COMPUTING THE POSSIBILITY AND FUZZY PROBABILITY OF FAILURE OF STRUCTURES[J].Applied Mathematics and Mechanics(English Edition),2003,24(3):338-343.
Authors:Guo Shu-xiang  Lü Zhen-zhou
Institution:1. Faculty of Mechanics, Engineering Institute, Air Force Engineering University, Xi'an 710038, P.R.China
2. Department of Aircraft Engineering, Northwestern Polytechnical University, Xi'an 710072, P.R.China
Abstract:Traditionally, the calculation of reliability of fuzzy random structures is based on the well-known formulation of probability of fuzzy events. But sometimes the results of this formulation will not indicating the real state of safety of fuzzy-random structures. Based on the possibility theory, a computational procedure for the reliability analysis of fuzzy failure problems and random-fuzzy failure problems of mechanical structures that contain fuzzy variables were presented. A procedure for the analysis of structural reliability of problems of fuzzy failure criterion was also proposed. The failure possibility of fuzzy structures and possibility distribution of the probability of failure of fuzzy-random structures can be given by the proposed methods. It is shown that for the hybrid probabilistic and fuzzy reliability problems, the probability of failure should be suitably taken as a fuzzy variable in order to indicate the real safety of system objectively. Two examples illustrate the validity and rationality of the proposed methods.
Keywords:structural reliability  possibility  fuzzy variable  fuzzy probability
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