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

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 versu...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-05, Vol.84 (3), p.1289-1302
Main Authors: Mamouri, S., Kouli, R., Benzegaou, A., Ibrahimbegovic, A.
Format: Article
Language:English
Subjects:
Automotive Engineering
Bending
Classical Mechanics
Computer simulation
Control
Decay
Deformation
Differential equations
Dynamic stability
Dynamical Systems
Engineering
Finite element method
Formability
Mathematical models
Mechanical Engineering
Nonlinear dynamics
Original Paper
Robustness
Robustness (mathematics)
Stability
Stiffness
Two dimensional
Vibration
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2567-2