Volume 33 Issue 03
Mar.  2007
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Chen Jianjun, Jiang Tao, Zhang Chijianget al. Qualitative and quantitative analysis of fuzziness for stochastic structure performance[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(03): 345-349. (in Chinese)
Citation: Chen Jianjun, Jiang Tao, Zhang Chijianget al. Qualitative and quantitative analysis of fuzziness for stochastic structure performance[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(03): 345-349. (in Chinese)

Qualitative and quantitative analysis of fuzziness for stochastic structure performance

  • Received Date: 04 Apr 2006
  • Publish Date: 31 Mar 2007
  • To overcome the deficiency that the safety membership function of a structure or a system in safety engineering sometimes involves subjectivity in the application of profust reliability theory, a preliminary study was made for finding out the rootstock of the performance fuzziness of a random system. The performance fuzziness for a general random structure system was quantified by translating random vectors into standard interval vectors, that is, the density functions of random vectors was intercepted by an equivalent horizontal cut set. A non-probabilistic reliability index was proposed to measure the fuzziness of the structural performance, and the index was defined in a convex domain a subspace of the standard interval vector space and in its extended space. Not only does the index offer to what extent the structure is safe but also depicts to what extent the structure has been failure. Consequently the index is proposed to characterize the fuzziness for the structural performance.

     

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  • [1] 蔡开元, 文传源, 张明廉. 模糊可靠性理论中的基本概念[J]. 航空学报, 1993, 14(7):A388-397 Cai Kaiyuan, Wen Chuanyuan, Zhang Minglian. Basic concepts in fuzzy reliability theories[J]. Acta Aeronautica et Astronautica Sinica, 1993, 14(7):A388-397(in Chinese) [2] Cai Kaiyuan, Wen Chuanyuan, Zhang Minglian. Fuzzy states as a basis for a theory of fuzzy reliability[J]. Microelectronics and Reliability, 1993, 33(15):2253-2263 [3] 赵德孜, 温卫东, 段成美. 基于模糊数的航空发动机可靠性预计模型[J]. 航空动力学报, 2004, 19(3):320-325 Zhao Dezi, Wen Weidong, Duan Chengmei. A model of aeroengine reliability prediction based on fuzzy number[J]. Journal of Aerospace Power, 2004, 19(3):320-325(in Chinese) [4] 张会, 曾亮. 分置信度的模糊统计方法[J]. 模糊结构与数学, 2004, 18(1):96-98 Zhang Hui; Zeng Liang. Fuzzy statistic with different confidence levels[J]. Fuzzy Systems and Mathematics, 2004, 18(1):96-98(in Chinese) [5] 刘长虹, 陈虬, 吕震宙, 等. 工程模糊随机结构失效模式的确定方法[J]. 机械强度, 2001, 23(3):302-304 Liu Changhong, Chen Qiu, Lü Zhenzhou, et al. Determination for the failure models in the fuzzy-random engineering structures[J]. Journal of Mechanical Strength, 2001, 23(3):302-304(in Chinese) [6] 王保平, 范九伦,谢维信. 基于模糊熵的多值图像恢复方法[J]. 西安电子科技大学学报, 2004, 31(2):214-217 Wang Baoping, Fan Jiulun, Xie Weixin. Fuzzy entropy-based method for multilevel image restoration[J]. Journal of Xidian University, 2004, 31(2):214-217(in Chinese) [7] 江涛, 陈建军. 基于率模可靠性的客观确定非对称概型功能函数隶属函数的方法[J]. 模糊结构与数学, 2005, 21(3):6-10 Jiang Tao; Chen Jianjun. Assignment of membership function in profust reliability context[J]. Fuzzy Systems and Mathematics, 2005, 21(3):6-10(in Chinese) [8] Huang Hongzhong. Fuzzy reliability analysis of generalized strength of mechanical structure[J]. Chinese Journel of Mechnical Engineering, 2001, 37(6):106-108 [9] 邱志平, 刘正权. 含模糊参数振动系统的Taylor级数展开法[J]. 北京航空航天大学学报, 2005, 31(12):1342-1346 Qiu Zhiping, Liu Zhengquan. Taylor serie s expansion method for vibration system with fuzzy parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(12):1342-1346(in Chinese) [10] 郭书祥, 吕震宙,冯元生. 基于区间分析的结构非概率可靠性模型[J]. 计算力学学报, 2001, 18(1):56-60 Guo Shuxiang, Lü Zhenzhou, Feng Yuansheng. A non-probabilistic model of structural reliability based on interval analysis[J]. Chinese Journal of Computational Mechanics, 2001, 18(1):56-60(in Chinese) [11] 郭书祥, 吕震宙. 模糊结构和机械系统的能度可靠性分析方法[J]. 机械强度, 2003, 25(4):430-432 Guo Shuxiang, Lü Zhenzhou. Procedure for the analysis of possibilistic reliability of fuzzy mechanical and structural systems[J], Journal of Mechanical Strength, 2003, 25(4):430-432(in Chinese) [12] 杨晓伟, 陈塑寰, 滕绍勇. 基于单元的静力区间有限元法[J]. 计算力学学报, 2002, 19(2):179-183 Yang Xiaowei, Chen Suhuan, Teng Shaoyong. Static interval finite element method based on the elements[J]. Chinese Journal of Computational Mechanics, 2002, 19(2):179-183(in Chinese) [13] Sawyer J P, Rao S S. Srength-based reliability and fracture assessment of fuzzy mechanical and structural systems[J]. AIAA Journal, 1999, 37(1):84-92 [14] 龚怀云. 应用泛函分析[M]. 西安:西安交通大学出版社, 1999 Gong Huaiyun. Applied functional analysis[M]. Xi-an:Xi-an Jiaotong University Press, 1999(in Chinese)
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