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Reissner�;��ΰ������U�任-����Ԫ��
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U-transformation finite element method in analysis of Reissner rectangular plates
Chen Fuli, Jiang Chiping*
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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Abstract�� 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.
Keywords�� Reissner rectangular plates   U-transformation   finite element method   error analysis     
Received 2007-11-06;
Fund:

������Ȼ��ѧ����������Ŀ(10672008)

About author: �¸���(1980-),��,ɽ����̩��,��ʿ��,flchen@ase.buaa.edu.cn.
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�¸���, ����ƽ.Reissner�;��ΰ������U�任-����Ԫ��[J]  �������պ����ѧѧ��, 2008,V34(11): 1303-1306
Chen Fuli, Jiang Chiping.U-transformation finite element method in analysis of Reissner rectangular plates[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2008,V34(11): 1303-1306
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