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Zhou Guiping, Tang Limin. THE HAMILTON CANONICAL EQUATIONS OF THEORY OF ELASTICITY IN POLAR COORDINATES AND THE VARIABLE CONTROL FINITE ELEMENT METHOD[J]. Engineering Mechanics, 1993, 10(1): 19-29.
Citation: Zhou Guiping, Tang Limin. THE HAMILTON CANONICAL EQUATIONS OF THEORY OF ELASTICITY IN POLAR COORDINATES AND THE VARIABLE CONTROL FINITE ELEMENT METHOD[J]. Engineering Mechanics, 1993, 10(1): 19-29.
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THE HAMILTON CANONICAL EQUATIONS OF THEORY OF ELASTICITY IN POLAR COORDINATES AND THE VARIABLE CONTROL FINITE ELEMENT METHOD

  • Dalian University of Technology

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  • Received Date: April 30, 1992
  • Revised Date: December 31, 1899
    Graphical Abstract
    • Abstract
  • The Hamilton canonical equations of elasticity in polar coordinate is deduced and the variable control finite element method is proposed. By the-separation of variables,the conventional interpolation method in finite element method is applied in θ direction while the analytical solution is given in r direction, the combined application of the method of finite element and the variable control is rendered.
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