Volume 34 Issue 11
Nov.  2008
Turn off MathJax
Article Contents
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.

     

  • loading
  • [1] 党发宁,荣廷玉,孙训方.Reissner板问题的有限元广义混合法[J].计算力学学报,2000,17(2):218-221 Dang Faning,Rong Tingyu, Sun Xunfang. Generalized mixed finite elements method of Reissner plates[J]. Chinese Journal of Computational Mechanics,2000, 17(2):218-221(in Chinese) [2] Gagnon P,GosselIn C, Cloutier L.A finite strip element for the analysis of variable thickness rectangular thick plates[J]. Computers and Structures,1997,63(2):349-362 [3] Liu F L, Liew K M.Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method[J]. Journal of Sound and Vibration, 1999,225(5): 915-934 [4] Civalek O. Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method[J]. International Journal of Mechanical Sciences,2007,49(6):752-765 [5] Chan H C,Cai C W,Cheung Y K. Exact analysis of structures with periodicity using U-transformation[M]. Singapore: World Scientific, 1998 [6] 龙志飞,岑松.有限元法新论——原理·程序·进展[M].北京:中国水利水电出版社,2001 Long Zhifei, Cen Song. Finite element method: principle,program and advancement [M]. Beijing: China Water Conservancy and Hydropower Press, 2001(in Chinese) [7] 中国科学院北京力学研究所,固体力学研究室板壳组.夹层板壳的弯曲、稳定和振动[M].北京:科学出版社,1977 Chinese Academy of Science Beijing Mechanics Research Institute, Plate Group of Solid Mechanics Research Office. The bending, stabilization and vibration of sandwich plate and shell[M].Beijing:Science Press, 1977(in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(5182) PDF downloads(781) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return