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Implicit controllable high-frequency dissipative scheme for nonlinear dynamics of 2D geometrically exact beam

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Abstract

In this work, we propose improvements of stability and robustness of time-integration energy conserving schemes for nonlinear dynamics of shear-deformable geometrically exact planar beam. The finite element model leads to a set of stiff differential equations to the large difference in bending versus shear or axial stiffness. The proposed scheme is based upon the energy conserving scheme for 2D geometrically exact beam. The scheme introduces desirable properties of controllable energy decay in higher modes. Several numerical simulations are presented to illustrate the performance of the decaying energy enhancements and overall stability and robustness of the proposed schemes.

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Authors and Affiliations

  1. LMS, University of Tahri Mohamed Bechar, Béchar, Algeria

    S. Mamouri & R. Kouli

  2. L2ME, University of Tahri Mohamed Bechar, Béchar, Algeria

    A. Benzegaou

  3. Laboratoire Roberval de Mécanique (CNRS UMR7337), Centre de Recherche Royallieu, Sorbonne Universités / Université de Technologie de Compiègne, 60205, Compiègne, France

    A. Ibrahimbegovic

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  1. S. Mamouri
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  2. R. Kouli
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  3. A. Benzegaou
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  4. A. Ibrahimbegovic
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Correspondence to S. Mamouri.

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Mamouri, S., Kouli, R., Benzegaou, A. et al. Implicit controllable high-frequency dissipative scheme for nonlinear dynamics of 2D geometrically exact beam. Nonlinear Dyn 84, 1289–1302 (2016). https://doi.org/10.1007/s11071-015-2567-2

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  • DOI: https://doi.org/10.1007/s11071-015-2567-2

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