Discrete variational Lie group formulation of geometrically exact beams dynamics

The goal of this paper is to derive a structure preserving integrator for geometrically exact beam dynamics, by using a Lie group variational integrator. Both spatial and temporal discretization are implemented in a geometry preserving manner. The resulting scheme preserves both the discrete momentum maps and symplectic structures, and exhibits almost-perfect energy conservation. Comparisons with existing numerical schemes are provided and the convergence behavior is analyzed numerically.


Published in:
Numerische Mathematik, 130, 1, 73-125
Year:
2015
Publisher:
Heidelberg, Springer Verlag
ISSN:
0029-599X
Keywords:
Laboratories:




 Record created 2015-03-25, last modified 2018-09-13


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