黄若煜, 郑长良, 钟万勰, 姚伟岸. 一个基于膜板比拟理论的四节点十六自由度的平板壳单元[J]. 工程力学, 2002, 19(4): 17-23.
引用本文: 黄若煜, 郑长良, 钟万勰, 姚伟岸. 一个基于膜板比拟理论的四节点十六自由度的平板壳单元[J]. 工程力学, 2002, 19(4): 17-23.
HUANG Ruo-yu, ZHENG Chang-liang, ZHONG Wan-xie, YAO Wei-an. A QUADRILATERAL FLAT THIN SHELL ELEMENT BASED ON THE MEMBRANE-PLATE SIMILARITY THEORY[J]. Engineering Mechanics, 2002, 19(4): 17-23.
Citation: HUANG Ruo-yu, ZHENG Chang-liang, ZHONG Wan-xie, YAO Wei-an. A QUADRILATERAL FLAT THIN SHELL ELEMENT BASED ON THE MEMBRANE-PLATE SIMILARITY THEORY[J]. Engineering Mechanics, 2002, 19(4): 17-23.

一个基于膜板比拟理论的四节点十六自由度的平板壳单元

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

  • 摘要: 应用膜板比拟关系,可以避开c1连续性的困难,为板单元的构造提供了一种新的途径,并已成功地构造出一系列相应的板单元。本文提出了一个四节点十六自由度的平板壳单元,该单元由平面四节点理性元RQ4(膜部分)和由膜板比拟理论构造的一个四节点八自由度的板单元(弯曲部分)构成。该单元构造简单,自由度少,数值结果表明具有良好的收敛性和精度。

     

    Abstract: A new effective approach 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. In this paper, a new four node, sixteen D.O.F (degree of freedom) flat thin shell element is presented on the basis of the similarity theory. This element is combined by the four node plane rational element (membrane part) and a four node plate element using the similarity theory (bending part). Numerical results of typical problems show that this new element exhibits very good convergence and high precision.

     

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