Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 19 ›› Issue (2): 193-199.

• 论文 • 上一篇    下一篇

RATIONAL FINITE ELEMENT METHOD FOR ELASTIC BENDING OF REISSNER PLATES

孙卫明1,2, 杨光松3   

  1. 1. Department of Steam, Gas and Nuclear Power Engineering, Naval Academy of Engineering, Wuhan 430033, P. R. China;
    2. Department of Astronautics, National University of Defence Technology, Changsha 410073, P. R. China;
    3. Maibox 7, Qinhe Building, Beijing 100085, P R China
  • 收稿日期:1997-05-15 修回日期:1997-08-24 出版日期:1999-02-18 发布日期:1999-02-18

RATIONAL FINITE ELEMENT METHOD FOR ELASTIC BENDING OF REISSNER PLATES

Sun Weiming1,2, Yang Guangsong 3   

  1. 1. Department of Steam, Gas and Nuclear Power Engineering, Naval Academy of Engineering, Wuhan 430033, P. R. China;
    2. Department of Astronautics, National University of Defence Technology, Changsha 410073, P. R. China;
    3. Maibox 7, Qinhe Building, Beijing 100085, P R China
  • Received:1997-05-15 Revised:1997-08-24 Online:1999-02-18 Published:1999-02-18

摘要: In this paper, some deformation patterns defined by differential equations of the elastic system are introduced into the revised functional for the incompatible elements.And therefore the rational FEM, which is perfect combination of the analytic methods and numeric methods, has been presented.This new approach satisfies not only the mechanical requirement of the elements but also the geometric requirement of the complex structures.What's more the quadrilateral element obtained accordingly for the elastic bending of thick plates demonstrates such advantages as high precision for computation and availability of accurate integration for stiffness matrices.

关键词: thick Reissuer plates, elastic bending of thick plates, rational finiteelement method

Abstract: In this paper, some deformation patterns defined by differential equations of the elastic system are introduced into the revised functional for the incompatible elements.And therefore the rational FEM, which is perfect combination of the analytic methods and numeric methods, has been presented.This new approach satisfies not only the mechanical requirement of the elements but also the geometric requirement of the complex structures.What's more the quadrilateral element obtained accordingly for the elastic bending of thick plates demonstrates such advantages as high precision for computation and availability of accurate integration for stiffness matrices.

Key words: thick Reissuer plates, elastic bending of thick plates, rational finiteelement method

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