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Advances in Acoustics and Vibration
Volume 2013, Article ID 905160, 8 pages
Research Article

Optimal Placement of Piezoelectric Plates to Control Multimode Vibrations of a Beam

1Dipartimento di Ingegneria, Università degli Studi Roma Tre, Via della Vasca Navale, 79-00146 Roma, Italy
2Department of Mechanical Engineering, Imperial College London, Exhibition Road, London SW7 2AZ, UK

Received 14 July 2013; Revised 11 October 2013; Accepted 21 October 2013

Academic Editor: Marc Thomas

Copyright © 2013 Fabio Botta et al. 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.


Damping of vibrations is often required to improve both the performance and the integrity of engineering structures, for example, gas turbine blades. In this paper, we explore the possibility of using piezoelectric plates to control the multimode vibrations of a cantilever beam. To develop an effective control strategy and optimize the placement of the active piezoelectric elements in terms of vibrations amplitude reduction, a procedure has been developed and a new analytical solution has been proposed. The results obtained have been corroborated by comparison with the results from a multiphysics finite elements package (COMSOL), results available in the literature, and experimental investigations carried out by the authors.