Nonlinear localization; resonance capture; energy transfer
Abstract :
[en] We study the dynamics of a two-degree-of-freedom (DOF) nonlinear system consisting of a grounded linear oscillator coupled to a light mass by means of an essentially nonlinear (nonlinearizable) stiffness.
We show that the structure of periodic orbits of the undamped system greatly influences the damped dynamics, as it causes complicated transitions between modes in the damped transient motion. In addition, there is the possibility of strong passive energy transfer (energy pumping) from the linear oscillator to the nonlinear attachment if certain periodic orbits of the undamped dynamics are excited by the initial conditions..
Disciplines :
Mechanical engineering Physics Mathematics
Author, co-author :
Lee, Young Sup; University of Illinois, Urbana-Champaign, USA
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Vakakis, Alexander F.; National Technical University of Athens, Greece > Mechanics Division
Panagopoulos, Panagiotis; National Technical University of Athens, Greece > Mechanics Division
Bergman, Lawrence; University of Illinois, Urbana-Champaign, USA > Dept. of Aerospace Engineering
McFarland, D. Michael; University of Illinois, Urbana-Champaign, USA > Dept. of Aerospace Engineering
Language :
English
Title :
Complex dynamics of a linear oscillator with a nonlinear attachment
