Formulation and performance of variational integrators for rotating bodies

Romero Olleros, Ignacio (2008). Formulation and performance of variational integrators for rotating bodies. "Computational Mechanics", v. 42 (n. 6); pp. 825-836. ISSN 0178-7675. https://doi.org/10.1007/s00466-008-0286-y.

Description

Title: Formulation and performance of variational integrators for rotating bodies
Author/s:
  • Romero Olleros, Ignacio
Item Type: Article
Título de Revista/Publicación: Computational Mechanics
Date: November 2008
Volume: 42
Subjects:
Freetext Keywords: Time integration, rigid body, rotations, variational method, geometric integration
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

Variational integrators are obtained for two mechanical systems whose configuration spaces are, respectively, the rotation group and the unit sphere. In the first case, an integration algorithm is presented for Euler’s equations of the free rigid body, following the ideas of Marsden et al. (Nonlinearity 12:1647–1662, 1999). In the second example, a variational time integrator is formulated for the rigid dumbbell. Both methods are formulated directly on their nonlinear configuration spaces, without using Lagrange multipliers. They are one-step, second order methods which show exact conservation of a discrete angular momentum which is identified in each case. Numerical examples illustrate their properties and compare them with existing integrators of the literature.

More information

Item ID: 2547
DC Identifier: http://oa.upm.es/2547/
OAI Identifier: oai:oa.upm.es:2547
DOI: 10.1007/s00466-008-0286-y
Official URL: http://www.springerlink.com/content/100468/
Deposited by: Memoria Investigacion
Deposited on: 15 Mar 2010 10:26
Last Modified: 20 Apr 2016 12:12
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