Review on the Absolute Nodal Coordinate Formulation for Large Deformation Analysis of Multibody Systems
Review on the Absolute Nodal Coordinate Formulation for Large Deformation Analysis of Multibody Systems
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DOI：
10.1115/1.4023487
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发表时间：
2013-07-01
影响因子：
2
通讯作者：
Mikkola, Aki
中科院分区：
文献类型：
--
作者：
Gerstmayr, Johannes;Sugiyama, Hiroyuki;Mikkola, Aki
本研究的目的是对有限元绝对节点坐标公式进行全面的回顾，该公式可用于求解约束多体系统的大变形问题。特别是回顾了自1996年以来提出的不同类型的梁板单元的重要特点。这些单元按单元的参数化(即，完全参数化和梯度不足的单元)、使用的应变测量和锁定效应的补救措施进行分类。讨论了材料的非线性和绝对节点坐标公式与一般多体动力学计算机算法的集成，特别强调了粘弹性、弹塑性和关节约束公式。此外，绝对节点坐标公式已被应用于各种具有挑战性的非线性动力学问题，包括皮带传动、转子叶片、弹性钢索、钢板弹簧和轮胎。文中还讨论了绝对节点坐标公式研究中尚未解决的问题和未来的展望。
The aim of this study is to provide a comprehensive review of the finite element absolute nodal coordinate formulation, which can be used to obtain efficient solutions to large deformation problems of constrained multibody systems. In particular, important features of different types of beam and plate elements that have been proposed since 1996 are reviewed. These elements are categorized by parameterization of the elements (i.e., fully parameterized and gradient deficient elements), strain measures used, and remedies for locking effects. Material nonlinearities and the integration of the absolute nodal coordinate formulation to general multibody dynamics computer algorithms are addressed with particular emphasis on visco-elasticity, elasto-plasticity, and joint constraint formulations. Furthermore, it is shown that the absolute nodal coordinate formulation has been applied to a wide variety of challenging nonlinear dynamics problems that include belt drives, rotor blades, elastic cables, leaf springs, and tires. Unresolved issues and future perspectives of the study of the absolute nodal coordinate formulation are also addressed in this investigation.