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LARGE DEFORMATION TRIANGULAR PLATE ELEMENTS FOR MULTIBODY PROBLEMS

机译:多体问题的大变形三角形板单元

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摘要

In this paper, triangular finite elements based on the absolute nodal coordinate formulation are introduced. Triangular elements employ the Kirchhoff plate theory and can, accordingly, be used in thin plate bending problems. These elements can exactly describe arbitrary rigid body motion while their mass matrices are constant. Previous plate developments in the absolute nodal coordinate formulation have focused on rectangular elements that are difficult to use when arbitrary meshes need to be described. The elements introduced in this study have overcome this problem and represent an important addition to the absolute nodal coordinate formulation. The two elements introduced are based on Specht's and Morley's shape functions. The numerical solutions of these elements are compared with results obtained using the previously proposed rectangular finite element and analytical results.
机译:本文介绍了基于绝对节点坐标公式的三角形有限元。三角形单元采用基尔霍夫板理论,因此可以用于薄板弯曲问题。这些元素可以精确描述任意刚体的运动,而它们的质量矩阵是恒定的。绝对节点坐标公式中以前的板开发集中在需要描述任意网格时难以使用的矩形元素。在这项研究中引入的元素已经克服了这个问题,并代表了绝对节点坐标公式的重要补充。引入的两个元素基于Specht和Morley的形状函数。将这些元素的数值解与使用先前提出的矩形有限元和分析结果获得的结果进行比较。

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