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Mechanical integrators for constrained dynamics of geometrically exact beams

  1. S. Leyendecker1,†,
  2. P. Betsch2,‡,
  3. P. Steinmann1,§

Article first published online: 1 DEC 2004

DOI: 10.1002/pamm.200410153

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PAMM

PAMM

Volume 4, Issue 1, pages 344–345, December 2004

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How to Cite

Leyendecker, S., Betsch, P. and Steinmann, P. (2004), Mechanical integrators for constrained dynamics of geometrically exact beams. Proc. Appl. Math. Mech., 4: 344–345. doi: 10.1002/pamm.200410153

Author Information

  1. 1

    Lehrstuhl für technische Mechanik, TU Kaiserslautern, Germany

  2. 2

    Institut für Mechanik und Regelungstechnik, FB11 Maschinentechnik, Universität Siegen, Germany

  1. †

    Phone: +49 631 205 3855, Fax: +49 631 205 2128

  2. ‡

    Phone: +49 271 740 2224, Fax: +49 271 740 2436

  3. §

    Phone: +49 631 205 2419, Fax: +49 631 205 2128

Publication History

  1. Issue published online: 1 DEC 2004
  2. Article first published online: 1 DEC 2004

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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. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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