王宏凯, 郑照北. 一个有效的厚薄板通用COONS曲面矩形元[J]. 工程力学, 1992, 9(1): 134-140.
引用本文: 王宏凯, 郑照北. 一个有效的厚薄板通用COONS曲面矩形元[J]. 工程力学, 1992, 9(1): 134-140.
Wang Hongkai, Zheng Zhaobei. AN EFFICACIOUS COONS' SURFACE METHOD FOR FORMULATION OF CURRENT FINITE ELEMENT OF THICK AND THIN PLATES[J]. Engineering Mechanics, 1992, 9(1): 134-140.
Citation: Wang Hongkai, Zheng Zhaobei. AN EFFICACIOUS COONS' SURFACE METHOD FOR FORMULATION OF CURRENT FINITE ELEMENT OF THICK AND THIN PLATES[J]. Engineering Mechanics, 1992, 9(1): 134-140.

一个有效的厚薄板通用COONS曲面矩形元

AN EFFICACIOUS COONS' SURFACE METHOD FOR FORMULATION OF CURRENT FINITE ELEMENT OF THICK AND THIN PLATES

  • 摘要: 本文采用板壳有限元Coons曲面法1,2和挠度位移与转角位移导数相关构造法构造出一个有效的厚薄板通用矩形单元,并直接给出位移场形函数;其推导简单易行,灵活多样,几何意义直观,力学概念清晰,并具有一般性。在薄板极限情况下,本文厚薄板通用单元自动退化为一个性能良好的薄板Coons曲面矩形元5,不出现剪切闭锁现象。数值计算表明:本文构造的厚薄板通用单元具有较高的计算精度和良好的收敛性。

     

    Abstract: In this paper, We apply the Coons' surface method, as well as the derivatively interrelated method for formulation of displacement field function and rotation field function.An efficacious and current finite element of thick and thin plates is constructed, and its displaci ment field shape function is directly given. This method is easily implemented, its geometric significance and mechanical conception are quite clear, moreover it has the general characteristic. When the thick plate turned into thin plate, the current finite elementis directly degenerated into the finite element of ACM and Ferguson surface element, and the shear locking phenomenon disappeared. The computational results indicates that the finite element is high-precision and its convergence is well. This method is spread in engineering structure.

     

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