Ding Kewei, Tang Limin. Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(2): 119-125.
Citation: Ding Kewei, Tang Limin. Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(2): 119-125.

Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell

  • Publish Date: 1999-02-15
  • Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger-Reissner variational principle.Analytical solutions are obtained for laminated cylindrical shell by means of state space method.The present study extends and unifies the solution of laminated shells.
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  • [1]
    Soldators K P, Hadjigeorgiou V P. Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels [J]. J Sound Vibration, 1990,137(3):369~384
    [2]
    Hawkes T D, Soldators K P. Three-dimensional axisymmetric vibrations of orthotropic and cross-ply laminated hollow cylinders [J]. AIAA J, 1992,30(4):1089~1098
    [3]
    Kardomateas G A. Buckling of thick orthotropic cylindrical shells under external pressure[J]. ASME J Appl Mech, 1993,60(1):195~202
    [4]
    Srinivas S, Rao A K. Bending vibration and buckling of simply supported thick orthotropic rectangular plates and laminates [J]. Internat J Solids Structures, 1970,6(12):1463~1481
    [5]
    Fan J, Ding K. Analytical solution for thick closed laminated cylindrical shells [J].Internat J Mech Sci, 1993,35(8):657~668
    [6]
    丁克伟,范家让.强厚度叠层连续闭口柱壳轴对称问题的精确解[J].工程力学,1994,11(2):8~19
    [7]
    唐立民,弹性力学的混合方程和Hamilton正则方程[J].计算结构力学及其应用,1991,8(4):343~350
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