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Robust and stable implicit time scheme for the Nonlinear Dynamics analysis of beam like structures
1 : Laboratoire L2ME
(UNiversité de Tahri Mohamed Bechar)
Route Kenadsa -
Algérie
2 : université Tahri Mohamed bechar
Route Kenadsa -
Algérie
3 : Université Tahri Mohamed
route de kenadsa -
Algérie
In this work we present an implicit time integration scheme for nonlinear dynamics of shear-deformable geometrically exact planar beam. The large difference in bending versus shear or axial stiffness leads to a set of stiff differential equations. This scheme is based on mid-point rule by enforcing the conserving and decaying energy to ensure the stability and robustness. The dissipation in the higher mode is controllable by desirable properties. Several numerical simulations are presented to illustrate the performance and overall stability and robustness of the proposed schemes.
