Discrete variational Lie group formulation of geometrically exact beam dynamics

作者：Demoures F; Gay Balmaz F; Leyendecker S; Ober Bloebaum S^*; Ratiu T S; Weinand Y

来源：Numerische Mathematik, 2015, 130(1): 73-123.

DOI：10.1007/s00211-014-0659-4

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.

• 出版日期2015-5