Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network |
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Authors: | Ivan Giorgio Antonio Culla Dionisio Del Vescovo |
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Institution: | (1) Department of Mechanics and Aeronautics, University of Rome “Sapienza”, via Eudossiana, 18-00184 Rome, Italy |
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Abstract: | In this paper a new approach is presented to reduce vibrations for one- and two-dimensional mechanical structures, as beam
or thin plates, by means of several piezoelectric transducers shunted with a proper electric network system. The governing
equations of the whole system are coupled to each other through the direct and converse piezoelectric effect. More in detail,
the mechanical equations are expressed in accordance with the modal theory considering n vibration modes and the electrical equations reduce to the one-dimensional charge equation of electrostatics for each of
n considered piezoelectric transducers. In this electromechanical system, a shunting electric device forms an electric subsystem
working as multi degrees of freedom (dof’s) damped vibration absorber for the mechanical subsystem. Herein, it is introduced
a proper transformation of the electric coordinates in order to approximate the governing equations for the whole shunted
system with n uncoupled, single mode piezoelectric shunting systems that can be readily damped by the methods reported in literature. A
further numerical optimisation problem on the spatial distribution of the piezoelectric elements allows to achieve a better
performance. Numerical case studies of two relevant systems, a double clamped beam and a fully clamped plate, allow to take
into account issues relative to the proposed approach. Laboratory experiments carried out in real time on a beam clamped at
both ends consent to validate the proposed technique. |
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Keywords: | Vibration control Shunt damping Multi-mode control Multiple piezoelectric transducers |
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