Ding Kewei, Tang Limin. The Solution of Weak Formulation for Axisymmetric Problem of Orthotropic Cantilever Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(6): 579-584.
Citation: Ding Kewei, Tang Limin. The Solution of Weak Formulation for Axisymmetric Problem of Orthotropic Cantilever Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(6): 579-584.

The Solution of Weak Formulation for Axisymmetric Problem of Orthotropic Cantilever Cylindrical Shell

  • Received Date: 1998-04-16
  • Rev Recd Date: 1998-11-16
  • Publish Date: 1999-06-15
  • Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell are presented, and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established. A unified approach and weak solutions are obtained for closed laminated cantilever cylindrical shell of arbitrary thickness under thermal and mechanical loadings. The equations and boundary conditions proposed in this paper are weakened, the method of this paper would be easy to popularize in dynamics analysis of elasticity.
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  • [1]
    Huang N N, Tauchert T R. Thermal stresses in doubly-curved crossply laminates [J]. Internat J Solids Structures, 1992,29(8):991~1000.
    [2]
    Chen T C, Lee M C. Thermal stresses in an axisymmetric double-layer annular circular cylinder with interlayer thermal resistance [J].J Thermal Stresses, 1993,16(1):11~30.
    [3]
    Soldatos K P, Ye J Q. Three-dimensional static,dynamic,thermoelastic and buckling analysis of homogeneous and laminated composite cylinders [J].Compos Structures,1994,29(4):131~143.
    [4]
    范家让.强厚度叠层板壳的精确理论[M].北京:科学出版社,1998.
    [5]
    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.
    [6]
    Van Loan C.A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix [J].Linear Algebra Appl, 1984,61(10):233~251.
    [7]
    丁克伟,范家让.强厚度叠层闭口悬臂柱壳轴对称问题的精确解[J].合肥工业大学学报,1995,18(2),9~18.
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