Cantilever beam vibration suppression using modal energy redistribution

Abstract

Modal energy redistribution is utilized to suppress vibrations of a cantilever beam. The energy redistribution between the modes of the beam is achieved by switching on/off an end force which causes varying stiffness of the beam. The control methodology to suppress all the modes relies on continuously funneling the energy from the higher to the lower modes with the end force and dissipating the energy associated with the fundamental mode. We present an analytical framework for control design exploiting the modal energy redistribution and verify the results through simulations and experiments. Copyright © 2012 Shahin S. Nudehi.