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A Nonlinear Finite Element Framework for Flexible Multibody Dynamics: Rotationless Formulation and Energy-Momentum Conserving Discretization

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Multibody Dynamics

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 12))

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A uniform framework for rigid body dynamics and nonlinear structural dynamics is presented. The advocated approach is based on a rotationless formu lation of rigid bodies, nonlinear beams and shells. In this connection, the specific kinematic assumptions are taken into account by the explicit incorporation of holo-nomic constraints. This approach facilitates the straightforward extension to flexible multibody dynamics by including additional constraints due to the interconnection of rigid and flexible bodies. We further address the design of energy-momentum schemes for the stable numerical integration of the underlying finite-dimensional mechanical systems.

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Author information

Authors and Affiliations

  1. Chair of Computational Mechanics, University of Siegen, Paul-Bonatz-Straβe 9-11, Siegen, 57068, Germany

    Betsch Peter & Nicolas Sänger

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  1. Betsch Peter
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  2. Nicolas Sänger
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Correspondence to Betsch Peter .

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Editors and Affiliations

  1. Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Via La Masa, 34, Milano, 20156, Italy

    Carlo L. Bottasso

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Peter, B., Sänger, N. (2009). A Nonlinear Finite Element Framework for Flexible Multibody Dynamics: Rotationless Formulation and Energy-Momentum Conserving Discretization. In: Bottasso, C.L. (eds) Multibody Dynamics. Computational Methods in Applied Sciences, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8829-2_7

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  • DOI: https://doi.org/10.1007/978-1-4020-8829-2_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8828-5

  • Online ISBN: 978-1-4020-8829-2

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