This work contains a comparison between variational integrators and energy-momentum schemes for flexible multibody dynamics. In this connection, a specific “rotationless” formulation of flexible multibody dynamics is employed. Flexible components such as continuum bodies and geometrically exact beams and shells are discretized in space by using nonlinear finite element methods. The motion of the resulting discrete systems are governed by a uniform set of differential-algebraic equations (DAEs). This makes possible the application and comparison of previously developed structure-preserving methods for the numerical integration of the DAEs. In particular, we apply a specific variational integrator and an energy-momentum scheme. The performance of both integrators is assessed in the context of three representative numerical examples.
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July 2010
Research Papers
Variational Integrators and Energy-Momentum Schemes for Flexible Multibody Dynamics
Peter Betsch,
Peter Betsch
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
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Christian Hesch,
Christian Hesch
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
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Nicolas Sänger,
Nicolas Sänger
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
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Stefan Uhlar
Stefan Uhlar
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
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Peter Betsch
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
Christian Hesch
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
Nicolas Sänger
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen Germany
Stefan Uhlar
Chair of Computational Mechanics, Department of Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Strasse 9-11, D-57076 Siegen GermanyJ. Comput. Nonlinear Dynam. Jul 2010, 5(3): 031001 (11 pages)
Published Online: May 14, 2010
Article history
Received:
March 16, 2009
Revised:
August 27, 2009
Online:
May 14, 2010
Published:
May 14, 2010
Citation
Betsch, P., Hesch, C., Sänger, N., and Uhlar, S. (May 14, 2010). "Variational Integrators and Energy-Momentum Schemes for Flexible Multibody Dynamics." ASME. J. Comput. Nonlinear Dynam. July 2010; 5(3): 031001. https://doi.org/10.1115/1.4001388
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