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环形板最大挠度极小化的优化设计*

俞焕然 叶开沅

俞焕然, 叶开沅. 环形板最大挠度极小化的优化设计*[J]. 应用数学和力学, 1988, 9(1): 13-18.
引用本文: 俞焕然, 叶开沅. 环形板最大挠度极小化的优化设计*[J]. 应用数学和力学, 1988, 9(1): 13-18.
Yu Huan-ran, Ye Kai-yuan. Optimal Design of Minimax Deflection of an Annular Plate[J]. Applied Mathematics and Mechanics, 1988, 9(1): 13-18.
Citation: Yu Huan-ran, Ye Kai-yuan. Optimal Design of Minimax Deflection of an Annular Plate[J]. Applied Mathematics and Mechanics, 1988, 9(1): 13-18.

环形板最大挠度极小化的优化设计*

基金项目: * 国家教委科学基金资助

Optimal Design of Minimax Deflection of an Annular Plate

  • 摘要: 本文讨论环形板的最大挠度极小化的优化设计.环形板承受任意的轴对称荷载.利用阶梯折算法,问题可以化为一个具有等式约束的标准的非线性规划问题.算例表明,本文的方法具有很多的优点.
  • [1] Cheng,K.T.and N.Olhoff,An investigation concerning optimal design of solid elastic plate,Int.J.Solids Structures,17(1981),305-323.
    [2] Cheng,K.T.and N.Olhoff,Regularized formulation for optimal design of axisymmetric plate,Int.J.Solids Structures,18(1982),153-169.
    [3] Yu,H.R.and K.Y.Yeh,Optimal design of thin elastic plate under arbitrarily load,Acta Mech.Sinica,Proceedings of China Researcher of the 16th ICTAM(1986),348-358.
    [4] Banichuk,N.V.,Design of plate for minimum stress and deflection,Optimization of Distributed Parameter Structures,IOWA,(1980,1981),333-361.
    [5] Banichuk,N.V.,V.M.Kartvelishvili and A.A.Mironov,Numerical solution of twodimensional optimization problems for elastic plate,Izv.An SSSR,MTT,1(1977).
    [6] Banichuk,N.V.,V.M.Kartvelishvili and A.A.Mironov,The numerical method for twodimensional optimization problem in the theory of elasticity,Proc.of the V USSR,Conference on the Numerical Methods for Solving Elasticity and Plasticity Problems,Part 2,Novosibirsk,VC SO AN SSSR(1978).(in Russian).
    [7] Yeh,K.Y.,Bending,buckling and free vibration of non-homogeneous variable thickness beams,J.of Lanzhou University(Natural Sciences),Special Number of Mechanics,19(1979),138-157.
    [8] Yeh,K.Y.and J.H.Kue,Bending of arbitrary axisymmetrically non-homogeneous and variable thickness circular plate with holes at centers under arbitrary steady temperature,J.of Lanzhou University,Special Number of Mech.,19(1979),75-114.
    [9] Jaroslaw,S.S.,B.J.Benjamin and R.D.Augustine,Structural optimization by multilevel decomposition,AIAA Journal,28,11(1985),1775-1782.
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出版历程
  • 收稿日期:  1987-06-01
  • 刊出日期:  1988-01-15

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