Localization of Vibratory Energy of Main Linear/Nonlinear Structural Systems by Nonlinear Energy Sink

Claude-Henri Lamarque (1) , Alireza Ture Savadkoohi (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

Two systems are considered: the system I is composed of a main linear structure which is coupled to a nonsmooth nonlinear energy sink. Here, effects of the gravity forces are not neglected. The system II consists of a main structure with a set of parallel Saint-Venant elements that is attached to a nonlinear energy sink with general odd nonlinear potential function. Time multi-scale energy exchanges between two oscillators is detected; in detail: the invariant manifold of the system at fast time scale is traced while detected equilibrium and singular points at slow time scale give us envision about system behavior(s) at pseudo-steady-state regime(s). All of detected behaviors provide us design tools for tuning necessary parameters of nonlinear energy sink for the localization of vibratory energy of main structural systems.

Domaines: Mécanique des structures [physics.class-ph]

Claude-Henri Lamarque, Alireza Ture Savadkoohi. Localization of Vibratory Energy of Main Linear/Nonlinear Structural Systems by Nonlinear Energy Sink. Belhaq M. Structural Nonlinear Dynamics and Diagnosis, 168, Srpinger, 2015, Springer Proceedings in Physics, 978-3-319-19851-4. ⟨10.1007/978-3-319-19851-4_11⟩. ⟨hal-01638173⟩