Energy transfer in externally driven periodic nonlinear structures

Diala Bitar (1) , Najib Kacem (1) , Noureddine Bouhaddi (1) , Manuel Collet (2)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

The collective dynamics of an externally driven periodic lattice of coupled nonlinear Duffing-Van Der Pol oscillators is modeled and investigated under primary resonance. The considered lattice has the particularity of including linear and nonlinear coupling between each two adjacent oscillators. The analytico-computational model is based on the method of multiple scales coupled with standing wave modal decomposition transforming the nonlinear differential system into a set of coupled complex algebraic equations which are numerically solved. Several numerical simulations have been performed and particularly for the case of two coupled oscillators, remarkable energy and bifurcation topology transfers between the lattice elements are identified.

Domaines: Mécanique [physics]

Diala Bitar, Najib Kacem, Noureddine Bouhaddi, Manuel Collet. Energy transfer in externally driven periodic nonlinear structures. European Non-linear Dynamics Confereence, Jul 2014, Vienna, Austria. ⟨hal-02300570⟩