吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 30-34.
郭学东, 谢军, 陈塑寰
GUO Xue-dong, XIE Jun, CHEN Su-huan
摘要: 用凸模型理论描述了结构参数的不确定性,提出了一种用于估计含不确定性参数结构特征值的上下界的新方法,并以框架结构特征值的算例验证了所提理论的有效性。
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[1] Hart G C, Collins J D. The treatment of randomness in finite element modeling, aerospace fluid power conference[A].National Aeronautic and Space Engineering and Manufacturing Meeting Paper 700842[C]. Calif:Society of Automotive Engineering, 1970:5~9. [2] Shieru Nakagiri. Finite element methods, deterministic and stochastic[M]. Tokyo:Institute of Industrial Science, Univer sity of Tokyo, 1983. [3] Liu W K, Belytsoho T, Mani A. Applications of probabilistic finite element methods in elastic/plastic dynamics[J].Trans. Of the ASME Journal of Engineering for Industry, 1987, 109:405~414. [4] Conlreras M.The stochastic finite element methods[J]. Computers & Structures, 1980,12:341~348. [5] Yager R R. Fuzzy sets and possibility theory; recent developments[M]. New York:Pergamon Press, 1982. [6] Ibrahim R.Structural dynamics with parameter uncertainties[J].Applied Mechanics Reviews, 1987,40:309~328. [7] 钱令希.关于结构优化设计中的主观信息[J].计算结构力学及其应用,1985,2(2):56~63. [8] 刘扬,程耿东.关于结构模糊优化若干问题的讨论[J].计算结构力学及其应用,1989,6(3):25~32. [9] Ben-Haim Y, Elishakoff I. Convex models of uncertainty in applied mechanics[M]. Amsterdam:Elsevier Science Publisher, 1990. [10] Lindberg H E. Dynamic response and buckling failure measure for structures with bounded and random imperfections[J].Trans. ASME, J. Appl. Mech., 1991,58:1092~1094. [11] Shi Z C, Gao W B.Stability of interval parameter matrices[J]. Int. J.Control, 1987,45:1093~1101. [12] Elishakoff I, Ben-Haim Y. Dynamics of a thin cylindrical shell under impact with limited deterministic information on initial imperfection[J]. Structural Safety, 1990, 8:103~112. [13] Liu Z S, Chen S H, Han W Z. Solving the extremum of static response for structural systems with unknown-but-bounded parameters[J]. Computers & Structures, 1994,50(4):557~561. [14] 陈塑寰.结构动态设计的矩阵摄动理论[M].北京:科学出版社,1999. |
[1] | 王世鹏,陈塑寰. 不确定性闭环系统特征上下界的二阶摄动法[J]. 吉林大学学报(工学版), 2006, 36(增刊1): 56-0061. |
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