Volume 34 Issue 11
Nov.  2008
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Chen Fuli, Jiang Chiping. U-transformation finite element method in analysis of Reissner rectangular plates[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(11): 1303-1306. (in Chinese)
Citation: Chen Fuli, Jiang Chiping. U-transformation finite element method in analysis of Reissner rectangular plates[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(11): 1303-1306. (in Chinese)

U-transformation finite element method in analysis of Reissner rectangular plates

  • Received Date: 06 Nov 2007
  • Publish Date: 30 Nov 2008
  • The U-transformation method was applied to the Reissner rectangular plates. The actual plate was extended to make up an equivalent cyclic periodicity system and the plate elements become cyclic periodic elements, whereby the stiffness matrix become a cyclic matrix and the finite element matrix equation was uncoupled by using double U-transformation. This method can easily analyze the plate with arbitrarily distributed loads and the calculation is only performed for one element. The method has high computational efficiency and can quickly converge to exact solutions. The exact analytical finite element solution, the exact error expression and exact convergence rate are derived. These results can be not obtained if other methods are used instead. Numerical examples of rectangular plates with simply supported or clamped edges and a comparison with other methods show the advantages and practical importance of the U-transformation finite element method in engineering analysis.

     

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