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首页> 外文期刊>Communications in Numerical Methods in Engineering >Comparison of finite element method based on nodal displacement and absolute nodal coordinate formulation (ANCF) in thin shell analysis
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Comparison of finite element method based on nodal displacement and absolute nodal coordinate formulation (ANCF) in thin shell analysis

机译：薄壳分析中基于节点位移和绝对节点坐标公式（ANCF）的有限元方法的比较

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摘要

Finite element method is a commonly used method in the simulation of plate and shell deformation. Usually, researchers in this field establish elements based on displacements of nodes and gradients of displacements with respect to a reference configuration as nodal variables. Recently, a new formulation, absolute nodal coordinate formulation (ANCF), has been developed. In this formulation, the gradients of the global position vector are used as nodal coordinates and no rotations are interpolated over the finite element. In this paper, the application, efficiency and domain of the application of these two formulations have been studied by considering some numerical examples. These examples show that high nonlinearity and very large computation time and extra wrinkling in the predicted deformed shape of plate are some disadvantages of the ANCF models in comparison with the classical finite element method models. The major discussion is about the performance of ANCF shape functions for rectangular elements.
机译：有限元法是模拟板壳变形的一种常用方法。通常，该领域的研究人员基于节点的位移和相对于作为节点变量的参考配置的位移梯度来建立元素。最近，开发了一种新的公式，即绝对节点坐标公式（ANCF）。在此公式中，全局位置矢量的梯度用作节点坐标，并且没有旋转插值到有限元上。本文通过考虑一些数值实例，研究了这两种配方的应用，效率和应用领域。这些示例表明，与经典的有限元方法模型相比，ANCF模型的某些缺点是高非线性度，非常大的计算时间以及预期的板形变形中的额外起皱。主要讨论是关于矩形元素的ANCF形状函数的性能。

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