Periodic motions of coupled impact oscillators

Vincent Acary 1, * Guillaume James 1, 2 Franck Pérignon 3
* Corresponding author
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : We study existence of time-periodic oscillations in a chain of coupled impact oscillators, for rigid impacts without energy dissipation. We formulate the search of periodic solutions as a boundary value problem incorporating unilateral constraints. This problem is solved numerically and different solution branches corresponding to nonlinear localized modes (breathers) and normal modes are computed.
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Vincent Acary, Guillaume James, Franck Pérignon. Periodic motions of coupled impact oscillators. ENOC 2014 - 8th European Nonlinear Dynamics Conference, Jul 2014, Vienna, Austria. ⟨hal-01059824⟩

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