Mechanical Integrators for Constrained Dynamics of Geometrically Exact Beams
Leyendecker S, Betsch P, Steinmann P (2004)
Publication Type: Conference contribution, Conference Contribution
Publication year: 2004
Book Volume: 4
Pages Range: 344-345
Conference Proceedings Title: Proc. Appl. Math. Mech. (PAMM)
Event location: Dresden
Abstract
The finite element formulation for nonlinear beams in terms of directors, providing a framework for the objective description of their dynamics, is considered. Geometrically exact beams are analyzed as Hamiltonian systems subject to holonomic constraints with a Hamiltonian being invariant under the action of SO(3). The formulation of the Hamiltonian systems in terms of the invariants of SO(3) is perfectly suited for a temporal discretization which leads to energy-momentum conserving integration. In this connection the influence of alternative procedures for the treatment of the constraints is investigated for the example of a beam with concentrated masses.
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APA:
Leyendecker, S., Betsch, P., & Steinmann, P. (2004). Mechanical Integrators for Constrained Dynamics of Geometrically Exact Beams. In Proc. Appl. Math. Mech. (PAMM) (pp. 344-345). Dresden, DE.
MLA:
Leyendecker, Sigrid, Peter Betsch, and Paul Steinmann. "Mechanical Integrators for Constrained Dynamics of Geometrically Exact Beams." Proceedings of the GAMM Annual Meeting, Dresden 2004. 344-345.
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