Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (3): 259-270.

• 论文 • 上一篇    下一篇

A NEW QUADRILATERAL THIN PLATE ELEMENT BASED ON THE MEMBRANE-PLATE SIMILARITY THEORY

黄若煜, 钟万勰, 郑长良, 姚伟岸   

  1. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China
  • 收稿日期:2000-12-12 修回日期:2001-08-26 出版日期:2002-03-18 发布日期:2002-03-18
  • 基金资助:
    the National Natural Science Foundation of China(19732020)

A NEW QUADRILATERAL THIN PLATE ELEMENT BASED ON THE MEMBRANE-PLATE SIMILARITY THEORY

HUANG Ruo-yu, ZHENG Chang-liang, ZHONG Wan-xie, YAO Wei-an   

  1. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China
  • Received:2000-12-12 Revised:2001-08-26 Online:2002-03-18 Published:2002-03-18
  • Supported by:
    the National Natural Science Foundation of China(19732020)

摘要: A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending. Because of avoiding the difficulty of c1 continuity, the construction of thin plate elements becomes easier. The similarity theory and its applications were discussed more deeply, and a new four nodes, sixteen D.O.F.(degree of freedom) thin plate element was presented on the base of the similarity theory. Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.

Abstract: A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending. Because of avoiding the difficulty of c1 continuity, the construction of thin plate elements becomes easier. The similarity theory and its applications were discussed more deeply, and a new four nodes, sixteen D.O.F.(degree of freedom) thin plate element was presented on the base of the similarity theory. Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.

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