A comparison of Finite Elements for Nonlinear Beams: The absolute nodal coordinate and geometrically exact formulations

Romero Olleros, Ignacio (2008). A comparison of Finite Elements for Nonlinear Beams: The absolute nodal coordinate and geometrically exact formulations. "Multibody System Dynamics", v. 20 (n. 1); pp. 51-68. ISSN 1384-5640. https://doi.org/10.1007/s11044-008-9105-7.

Description

Title: A comparison of Finite Elements for Nonlinear Beams: The absolute nodal coordinate and geometrically exact formulations
Author/s:
  • Romero Olleros, Ignacio
Item Type: Article
Título de Revista/Publicación: Multibody System Dynamics
Date: August 2008
ISSN: 1384-5640
Volume: 20
Subjects:
Freetext Keywords: Nonlinear beam, finite element, flexible multibody, absolute nodal coordinate, geometrically exact.
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Two of the most popular finite element formulations for solving nonlinear beams are the absolute nodal coordinate and the geometrically exact approaches. Both can be applied to problems with very large deformations and strains, but they differ substantially at the continuous and the discrete levels. In addition, implementation and run-time computational costs also vary significantly. In the current work, we summarize the main features of the two formulations, highlighting their differences and similarities, and perform numerical benchmarks to assess their accuracy and robustness. The article concludes with recommendations for the choice of one formulation over the other.

More information

Item ID: 2546
DC Identifier: http://oa.upm.es/2546/
OAI Identifier: oai:oa.upm.es:2546
DOI: 10.1007/s11044-008-9105-7
Official URL: http://www.springerlink.com/content/100318/
Deposited by: Memoria Investigacion
Deposited on: 15 Mar 2010 10:43
Last Modified: 20 Apr 2016 12:12
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