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Continuously Distributed Control of Plates by Electric Networks with PZT Actuators

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Continuum Mechanics and Applications in Geophysics and the Environment

Abstract

In this paper a novel device is described which aims to control the mechanical vibrations of plates by means of a set of interconnected piezoelectric actuators. These are uniformly embedded in the plate and connect every node of an electric network to ground, thus playing the two-fold role of capacitive element in the electric net and of couple suppliers. A mathematical model is introduced to describe the behavior of the system the time evolution of which is obtained as the solution of a system of partial differential equations. A self-resonance criterion is established which assures the possibility of electro-mechanical energy exchange. Finally the problem of vibration control in simply supported and clamped plates is addressed: the optimal net-impedance is determined. The results indicate that the proposed device can improve the performances of piezoelectric actuation.

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© 2001 Springer-Verlag Berlin Heidelberg

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Vidoli, S., dell’Isola, F. (2001). Continuously Distributed Control of Plates by Electric Networks with PZT Actuators. In: Straughan, B., Greve, R., Ehrentraut, H., Wang, Y. (eds) Continuum Mechanics and Applications in Geophysics and the Environment. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04439-1_6

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  • DOI: https://doi.org/10.1007/978-3-662-04439-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07500-1

  • Online ISBN: 978-3-662-04439-1

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