Definition of the slopes and the finite element absolute nodal coordinate formulation
type: Item
instance of: scholarly article
title: Definition of the slopes and the finite element absolute nodal coordinate formulation
zbMATH Open document ID: 0890.73071
DOI: 10.1023/A:1009740800463
published in: Multibody System Dynamics
publication date: 1998-07-14T00:00:00Z
review text: An absolute nodal coordinate formulation, in which no infinitesimal or finite rotations are used as nodal coordinates, can be systematically developed and efficiently used in many large deformation applications as well as in the analysis of curved structures. This formulation leads to a constant mass matrix, and as a consequence, an efficient procedure can be used for solving for the nodal accelerations. In the absolute nodal coordinate formulation, the displacement gradients at the nodes are determined in the undeformed reference configuration using simple rigid body kinematics. The problems that arise from the linearization of the slopes and the use of the finite rotations as nodal coordinates are discussed.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 1080791
zbMATH Keywords: multibody dynamics
zbMATH Keywords: large deformation applications
zbMATH Keywords: analysis of curved structures
zbMATH Keywords: constant mass matrix
zbMATH Keywords: nodal accelerations
zbMATH Keywords: displacement gradients
zbMATH Keywords: rigid body kinematics
zbMATH Keywords: finite rotations
author: Ahmed A. Shabana
MaRDI profile type: Publication
full work available at URL: a:1009740800463
OpenAlex ID: W1607197070
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description: scientific article; zbMATH DE number 1080791