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

Abstract

AbstractTwo 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.KeywordsNonlinear Energy Sink (NES)Saint-Venant ElementMain Structural SystemNonlinear Potential FunctionSlow Invariant ManifoldThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.