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Advances in Acoustics and Vibration
Volume 2012 (2012), Article ID 275959, 9 pages
http://dx.doi.org/10.1155/2012/275959
Research Article

Cantilever Beam Vibration Suppression Using Modal Energy Redistribution

Mechanical Engineering Department, Valparaiso University, Valparaiso, IN 46383, USA

Received 30 November 2011; Accepted 17 April 2012

Academic Editor: Luc Gaudiller

Copyright © 2012 Shahin S. Nudehi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.