Mardi 20 janvier séminaire de Stéphane Junca SALLE J. PERÈS, BÂT. C de 11h00 à 12h00 Titre : Nonsmooth modal analysis of vibratory systems undergoing purely elastic impacts This is a joint work with Mathias LEGRAND, McGill University and Sokly HENG, Royal Phnom Penh University. Résumé : The framework of nonlinear normal modes (NNM) is extremely powerful to investigate the nonlinear vibrations of mechanical systems. An autonomous thin vibrating rod in contact against a frictionless rigid foundation is investigated in the form of a N -dof harmonic oscillator subjected to a purely elastic impact rule which preserves the total energy. We show that this system features a continuous set of periodic orbits supported by non-smooth sub-manifolds in the phase portrait. The physical solutions are subjected to a one-sided condition. Moreover, the stability of this solution is considered.
Posted on: Thu, 15 Jan 2015 08:48:40 +0000
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