吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 30-34.

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A New Method for Estimating the Upper and Lower Bounds of Eigenvalues of Structures with Uncertain Parameters

GUO Xue-dong, XIE Jun, CHEN Su-huan   

  1. College of Sciences, Jilin University, Nanling Campus, Changchun 130025, China
  • Received:2000-07-12 Online:2001-01-25

Abstract: This paper presents a method for estimating the upper and lower bounds of eigenvalue for the structures with uncertainties.The uncertain parameters are described by the convex model.A numerical example of frame structure is given to illustrate the efficiency of the method.

Key words: structures with uncertainties, upper and lower bounds of eigenvalues, convex models, semi-axial optimization

CLC Number: 

  • O342
[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.
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