黄若煜, 郑长良, 姚伟岸, 钟万勰. 基于平面弹性-板弯曲比拟理论的Wilson型板弯曲单元[J]. 工程力学, 2003, 20(4): 19-23.
引用本文: 黄若煜, 郑长良, 姚伟岸, 钟万勰. 基于平面弹性-板弯曲比拟理论的Wilson型板弯曲单元[J]. 工程力学, 2003, 20(4): 19-23.
HUANG Ruo-yu, ZHENG Chang-liang, YAO Wei-an, ZHONG Wan-xie. THE WILSON PLATE BENDING ELEMENT USING THE MEMBRANE-PLATE SIMILARITY THEORY[J]. Engineering Mechanics, 2003, 20(4): 19-23.
Citation: HUANG Ruo-yu, ZHENG Chang-liang, YAO Wei-an, ZHONG Wan-xie. THE WILSON PLATE BENDING ELEMENT USING THE MEMBRANE-PLATE SIMILARITY THEORY[J]. Engineering Mechanics, 2003, 20(4): 19-23.

基于平面弹性-板弯曲比拟理论的Wilson型板弯曲单元

THE WILSON PLATE BENDING ELEMENT USING THE MEMBRANE-PLATE SIMILARITY THEORY

  • 摘要: 应用平面弹性板弯曲比拟关系,可以避开1c连续性的困难,为板单元的构造提供了一种新的途径。这一新方法已成功地将一些平面弹性协调单元转化为新型板弯曲单元。根据比拟理论将著名的平面弹性Wilson元QM6转化为板弯曲单元,从而将新方法应用到平面弹性非协调元。单元构造简单,数值结果表明具有很好的收敛性和精度。

     

    Abstract: Numerical experiments have verified the effectiveness of formulating thin plate and shell elements by using the similarity theory between plane elasticity and plate bending. Thus, plane elasticity elements can be transformed into plate bending elements. In this paper, the Wilson element QM6 is transformed into a new four-node, eight D.O.F (degree of freedom) quadrilateral plate bending element. Numerical results of typical problems show that the new plate bending element has very good convergence and high precision. Especially, the behavior of the new plate bending element in patch test is similar to those of QM6. It is shown that the present method can transform non-conforming plane elasticity elements into new plate bending elements and keep the features of transformed elements.

     

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