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Research Article
Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers
Article first published online: 22 JUL 2004
DOI: 10.1002/cta.273
Copyright © 2004 John Wiley & Sons, Ltd.
Issue
1097-007X/asset/cover.gif?v=1&s=13eb8a2e2ed6c24e79cf329768925f5e84641270 "International Journal of Circuit Theory and Applications")
International Journal of Circuit Theory and Applications
Volume 32, Issue 4, pages 167–198, July/August 2004
Additional Information
How to Cite
Porfiri, M., dell'Isola, F. and Frattale Mascioli, F. M. (2004), Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers. Int. J. Circ. Theor. Appl., 32: 167–198. doi: 10.1002/cta.273
Publication History
- Issue published online: 22 JUL 2004
- Article first published online: 22 JUL 2004
- Manuscript Revised: 25 MAR 2004
- Manuscript Received: 9 JUL 2003
Funded by
- Engineering Science and Mechanics Department of the Virginia Polytechnic Institute and State University
- MIUR, Ministero per l'Innovazione, l'Università e la Ricerca Fondi Ricerca PRIN. Grant Number: 2001097882_003
- Università di Roma ‘La Sapienza’
- Abstract
- References
- Cited By
Keywords:
- passive electric networks;
- multiport synthesis;
- electric analogs;
- smart structures;
- multimodal vibrations;
- piezoelectric transducers;
- distributed control;
- passive damping
Abstract
In this paper we solve the synthesis problem of finding a completely passive electric circuit analog to a vibrating beam. The synthesis problem is of interest when one wants to suppress beam mechanical vibrations by using distributed piezoelectric transduction. Indeed, an effective electromechanical energy transduction is guaranteed when the electric circuit (interconnecting the transducers' terminals) is resonant at all mechanical resonance frequencies and is able to mimic all the mechanical modal shapes. The designed electric circuit behaves as an electric controller of mechanical vibrations (i.e. an electric vibration damper) once suitably endowed with a set of resistors. Because of its completely passive nature, it does not require external power units and stands as an economical means of controlling vibrations. Copyright © 2004 John Wiley & Sons, Ltd.