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Smart Structures and Systems
  Volume 12, Number 5, November 2013 , pages 547-577

Design of piezoelectric transducer arrays for passive and active modal control of thin plates
Georg Zenz, Wolfgang Berger, Johannes Gerstmayr, Manfred Nader and Michael Krommer

    To suppress vibration and noise of mechanical structures piezoelectric ceramics play an increasing role as effective, simple and light-weighted damping devices as they are suitable for sensing and actuating. Out of the various piezoelectric damping methods this paper compares mode based active control strategies to passive shunt damping for thin plates. Therefore, a new approach for the optimal placement of the piezoelectric sensors/actuators, or more general transducers, is proposed after intense theoretical investigations based on the Kirchhoff kinematical hypotheses of plates; in particular, modal and nilpotent transducers are discussed in detail. Based on the proposed distribution a discrete design for modal transducers is implemented, tested and verified on an experimental setup. For active control the modal sensors clearly identify the eigenmodes, whereas the modal actuators impose distributed eigenstrains in order to reduce the transverse plate vibrations. In contrast to the modal control, passive shunt damping works without requiring additional actuators or auxiliary power and can therefore act as an autonomous system, but it is less effective compensating the flexible vibrations. Exemplarily, an acryl glass plate disturbed by an arbitrary force initialized by a loudspeaker is investigated. Comparing the different methods their specific advantages are highlighted and a significant broadband reduction of the vibrations of up to -20dB is obtained.
Key Words
    smart structures; plate vibrations; piezoelectric transducers; modal transducers; nilpotent transducer; shunt damping, modal control
Georg Zenz, Wolfgang Berger, Johannes Gerstmayr and Manfred Nader : Linz Center of Mechatronics (LCM), Altenbergerstr.69, A-4040 Linz, Austria
Michael Krommer : Institute of Technical Mechanics, Johannes Kepler University Linz, Altenbergerstr.69, A-4040 Linz, Austria

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