Multisymplectic Lie group variational integrator for a geometrically exact beam in R3

In this paper we develop, study, and test a Lie group multisymplectic integra- tor 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.


Published in:
Communications in Nonlinear Science and Numerical Simulation
Year:
2014
Publisher:
Elsevier
ISSN:
1007-5704
Keywords:
Laboratories:




 Record created 2014-03-04, last modified 2018-01-28

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