Fuzzy theory for uncertain structural analysis based on measurement data

[1] Falsone G,Impollonia N.A new approach for the stochastic analysis of finite element modeled structures with uncertain parameters [J].Computer Methods in Applied Mechanics and Engineering,2002,191(44):5067-5085 [2] Ghanem R G,Spanos P D.Stochastic finite elements:a spectral approach [M].Berlin:Springer,1991 [3] Ben-Haim Y,Elishakoff I.Convex models of uncertainty in applied mechanics [M].Amsterdam:Elsevier Science Publisher,1990 [4] 邱志平.非概率集合理论凸方法及其应用[M].北京:国防工业出版社,2005 Qiu Zhiping.Convex method based on non-probabilistic set-theory and its application [M].Beijing:National Defence Industry Press,2005(in Chinese) [5] 邱志平,王晓军.不确定性结构力学问题的集合理论凸方法[M].北京:科学出版社,2008 Qiu Zhiping,Wang Xiaojun.Convex method based on set-theory for uncertain structural mechanics problems [M],Beijing:Science Publishing Company Press,2008(in Chinese) [6] Chen Suhuan,Lian Huadong,Yang Xiaowei.Interval static displacement analysis for structures with interval parameters [J].International Journal for Numerical Methods in Engineering,2002,53(2):393-407 [7] Zadeh L A.Fuzzy sets[J].Information and Control,1965(8):338-353 [8] 吕震宙,岳珠峰.模糊随机可靠性的统一模型[J].力学学报,2004,36(5):533-539 Lu Zhenzhou,Yue Zhufeng.Unified reliability model for fuzziness and randomness of the basic variables and state variables in structure [J].Chinese Journal of Theoretical and Applied Mechanics,2004,36(5):533-539(in Chinese) [9] 陈建军,江涛,张驰江.随机结构功能模糊性的定量分析[J].北京航空航天大学学报,2007,33(3):345-349 Chen Jianjun,Jiang Tao,Zhang Chijiang.Qualitative and quantitative analysis of fuzziness for stochastic structure performance [J].Journal of Beijing University of Aeronautics and Astronautics,2007,33(3):345-349(in Chinese) [10] Elishakoff I.Three versions of the FE method based on concepts of either stochasticity,fuzziness or anti-optimization[J].Applied Mechanics Reviews,1998,51(3):209-218 [11] 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 series expansion method for vibration system with fuzzy parameters [J].Journal of Beijing University of Aeronautics and Astronautics,2005,31(12):1342-1346 (in Chinese) [12] Jiang Qimi,Chen Chun-Hsien.A numerical algorithm of fuzzy reliability [J].Reliability Engineering and System Safety,2003,80(3):299-307