Publication

Discrete variational Lie group formulation of geometrically exact beams dynamics

Tudor Ratiu, Yves Weinand, François Marie Alain Demoures
2015
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/0cb416c7-9a6a-4ce3-9e6f-67da9f7108c9

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Discrete variational Lie group formulation of geometrically exact beams dynamics

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