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On the formulation of a pipe element for a pipe structure with variable wall thickness

机译：关于壁厚可变的管道结构的管道元件的配方

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In this paper, a pipe element is developed for a pipe structure with variable wall thickness. The variable wall thickness field t(w) can be an arbitrary function about circumferential and axial directions. A local dimensionless cylindrical coordinate system is set up. The displacement expression is defined based on the local dimensionless cylindrical coordinate system. The map from the local dimensionless cylindrical coordinate system to the pipe structure configuration is established. In the circumferential and radial dimensions, the series is used as the displacement basis functions. In the axial direction, Lagrangian interpolation is applied. Furthermore, the referential surface R can also be defined as an arbitrary function about circumferential and axial directions as t(w). Thus, this pipe element has wide applications. The complicated problems with geometrical nonlinearity (large deformation and finite strain) can be analyzed well by this element. The pipe buckle crossover problem is analyzed in this paper. In this problem, the pipe model has an axially variable wall thickness field. The eccentric pipe collapse problem is also analyzed. In this problem, the pipe model has a circumferential variable wall thickness field. The results are compared with those from other well-established FEM simulations. (C) 2016 Elsevier Ltd. All rights reserved.
机译：在本文中，开发了一种用于具有可变壁厚的管道结构的管道元件。可变壁厚场t（w）可以是关于周向和轴向的任意函数。建立了局部无量纲圆柱坐标系。位移表达式是基于局部无量纲圆柱坐标系定义的。建立了从局部无量纲圆柱坐标系到管道结构配置的映射。在圆周和径向尺寸上，该系列用作位移基础函数。在轴向方向上，应用拉格朗日插值。此外，基准面R也可以定义为关于周向和轴向作为t（w）的任意函数。因此，该管件具有广泛的应用。用这个元素可以很好地分析几何非线性的复杂问题（大变形和有限应变）。本文分析了管扣交叉问题。在这个问题中，管道模型具有轴向可变的壁厚场。还分析了偏心管塌陷问题。在这个问题中，管道模型具有周向可变的壁厚场。将结果与来自其他完善的FEM仿真的结果进行比较。 （C）2016 Elsevier Ltd.保留所有权利。

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