ENERGY PUMPING: CASES INVOLVING NONLINEAR DAMPING OR INITIAL NONLINEAR SYSTEM

Based on developments of various theoretical and analytical methods for the analysis of non linear dynamical systems, localization phenomena have been analyzed in order to process passive control (e.g. [1-2]). The concept of Nonlinear Energy Sink (NES) has been developed such that the imposed energy to a linear single Degree of Freedom (DoF) substructure is transferred to one or series of strongly nonlinear light attachments; the mechanism is based on a 1:1 resonance capture and study of nonlinear coupled two DoF mechanical systems. Nonlinear attachments can be designed to passively vibrate with any frequency; hence the system is efficient for both of transient and periodic excitations. Many works have been recently devoted to this topic using analytical, numerical or experimental approaches (e.g. [3-10]). The non linearities of NES were first smooth ones. In [11], Gendelman examine possible passive control by using non polynomial energy sink. Even if it is clearly possible to extend the study to nonlinear case, the numerous developments have mainly examined the coupling between a linear main structure and an essentially nonlinear one (the Nonlinear Energy Sink). For mechanica