Kinematics and dynamics of rigid and flexible mechanisms using finite elements and quaternion algebra
type: Item
instance of: scholarly article
title: Kinematics and dynamics of rigid and flexible mechanisms using finite elements and quaternion algebra
zbMATH Open document ID: 0666.73014
DOI: 10.1007/BF00282414
published in: Computational Mechanics
publication date: 1988-01-01T00:00:00Z
review text: A technique for representing large finite rotations in terms of only three independent parameters, the conformal rotation vector, is described and applied to the finite element formulation of 3-D mechanisms problems. A beam finite element that takes into account large finite rotations and various types of rigid joints have been developed. Some test examples which demonstrate the applicability of the proposed technique are presented.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 70B15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 4090907
zbMATH Keywords: representation of rotation operator in terms of three free parameters
zbMATH Keywords: conformal transformation on Euler parameters
zbMATH Keywords: large finite rotations
zbMATH Keywords: conformal rotation vector
zbMATH Keywords: beam finite element
zbMATH Keywords: rigid joints
author: Michel Géradin
author: Alberto Cardona
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4090907