Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (2): 109-116.

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INCOMPATIBLE CURVED QUADRILATERAL PLATE BENDING ELEMENT WITH 12-DEGREES OF FREEDOM

Ji Zhen-yi1, Yeh Kai-yuan2   

  1. 1. Anhui Architectural Industry College, Hefei;
    2. Lanzhou University, Lanzhou
  • Received:1991-05-21 Online:1993-02-18 Published:1993-02-18
  • Supported by:
    The project supported by the Outstanding Education Fund and Doctor Point Fund of National Education Committee and the National Science Foundation of China

Abstract: This paper presents a new curved quadrilateral plate element with 12-degree freedom by the exact element method[1]. The method can be used to arbitrary non-positive and positive definite partial differential equations without variation principle. Using this method, the compatibility conditions between element can be treated very easily, if displacements and stress resultants are continuous at nodes between elements. The displacements and stress resultants obtained by the present method can converge to exact solution and have the second order convergence speed. Numerical examples are given at the end of this paper, which show the excellent precision and efficiency of the new element.

Key words: exact element method, thin plate, curved quadrilateral element

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