Nonlinear Dynamics

, Volume 84, Issue 3, pp 1289–1302 | Cite as

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

  • S. Mamouri
  • R. Kouli
  • A. Benzegaou
  • A. Ibrahimbegovic
Original Paper
First Online:
Received:
Accepted:
  • 191 Downloads

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.

Keywords

Dynamic Geometrically exact beam Conserving energy Decay energy 
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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • S. Mamouri
    • 1
  • R. Kouli
    • 1
  • A. Benzegaou
    • 2
  • A. Ibrahimbegovic
    • 3
  1. 1.LMSUniversity of Tahri Mohamed BecharBécharAlgeria
  2. 2.L2MEUniversity of Tahri Mohamed BecharBécharAlgeria
  3. 3.Laboratoire Roberval de Mécanique (CNRS UMR7337), Centre de Recherche RoyallieuSorbonne Universités / Université de Technologie de CompiègneCompiègneFrance

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