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《JOURNAL OF MECHANICAL STRENGTH》 2000-01
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FUZZY RELIABILITY ANALYSIS OF GENERALIZED STATIC STRENGTH OF MECHANICAL STRUCTURE BASED ON FUZZY FAILURE CRITERION

HUANG Hongzhong (School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China) (State Key Lab.of Mechanical Transmission, Chongqing University, Chongqing 400044,China)  
Conventionally, probability theory has been used in structural reliability analysis. However, fuzziness is inherent in structural reliability analysis. The fuzzy performance is based on the consideration that the structural performance can't be necessarily classified into crisp categories and that the transition from safety state to failure state is not sharp. The fuzziness can be handled by fuzzy sets theory. Thus, in this paper, basic concepts of structural reliability are introduced, the imperfection and fuzziness affecting the structural reliability is analyzed, the concept of fuzzy safety state is developed, and the formulas for the fuzzy reliability of generalized static strength are deduced with the use of different membership functions and different probability density functions. It is shown that the fuzzy reliability is consistent with the conventional reliability. The utility of the concept and the associated methodology is demonstrated by applications to selected example.
【Fund】: 国家自然科学基金! (594750 4 3);; 牵引动力国家重点实验室开放课题基金;; 四川省跨世纪杰出青年学科带头人培养基金
【CateGory Index】: TB114
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