Multisymplectic Lie group variational integrator for a geometrically exact beam in R-3

In this paper we develop, study, and test a Lie group multisymplectic integrator for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multisymplectic character of the integrator to analyze the energy and momentum map conservations associated to the temporal and spatial discrete evolutions. (C) 2014 Elsevier B.V. All rights reserved.


Published in:
Communications In Nonlinear Science And Numerical Simulation, 19, 10, 3492-3512
Year:
2014
Publisher:
Amsterdam, Elsevier
ISSN:
1007-5704
Keywords:
Laboratories:




 Record created 2014-06-16, last modified 2018-01-28


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