Geometrically accurate infinitesimal-rotation spatial finite elements
Geometrically accurate infinitesimal-rotation spatial finite elements
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DOI：
10.1177/1464419318774948
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发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
A. Shabana
中科院分区：
文献类型：
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作者：
A. Shabana
本文用一种通用的方法发展了一种新的几何精度的无限小旋转有限元。新的空间梁、板和实体单元是根据位置向量梯度矩阵得到的常几何系数发展而来的。空间梁、板和实体单元的形函数采用绝对节点坐标公式的位移场。这些单元适合于开发用于结构和多体系统(MBS)分析的降阶模型，特别是在使用浮动参照系(FFR)公式时。新单元的初始几何被称为ANCF/FFR，通过线性映射与B-样条线和NURBS(非均匀有理B-样条线)相关联，因此，当几何模型转换为分析网格时，它们的使用不会导致几何失真。本技术说明的主要贡献是提出了发展几何精确的空间ANCF/FFR单元的一般程序，并通过发展三个不同空间单元的ANCF/FFR位移场来演示这一程序的使用。
In this paper, a general procedure is used to develop new geometrically accurate infinitesimal-rotation finite elements (FE). New spatial beam, plate, and solid elements are developed in terms of constant geometric coefficients obtained using the matrix of position vector gradients. The spatial beam, plate, and solid element shape functions are developed using the displacement field of the absolute nodal coordinate formulation (ANCF). These elements are suited for developing reduced-order models for structural and multibody system (MBS) analyses, particularly when the floating frame of reference (FFR) formulation is used. The initial geometry of the new elements, referred to as the ANCF/FFR, is related to B-splines and NURBS (non-uniform rational B-splines) by a linear mapping, and therefore, their use does not lead to geometry distortion when geometry models are converted to analysis meshes. The main contribution of this technical note is the proposed general procedure for the development of the geometrically accurate spatial ANCF/FFR elements and demonstrating the use of this procedure by developing the ANCF/FFR displacement field of three different spatial elements.