Vibrations of smart elastic plates with integrated piezoelectric actuators are considered. Piezoelastic layers are used to generate a distributed actuation of the plate. A spatial shape function of the piezoelastic actuators is sought such that flexural vibrations induced by external forces can be completely nullified. An analytic solution of this problem is worked out for the case of clamped circular plates with a spatially constant force loading. The Kirchhoff theory of thin plates is used to derive this analytic solution. Our result is successfully validated by means of coupled 3-dimensional finite-element computations.
Shape Control of Flexural Vibrations of Circular Plates by Shaped Piezoelectric Actuation
Contributed by the Technical Committee on Vibration and Sound for publication in the Journal of Vibration and Acoustics. Manuscript received Nov. 2001; revised July 2002. Associate Editor: Chin An Tau.
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Nader, M., Gattringer, H., Krommer, M., and Irschik, H. (January 6, 2003). "Shape Control of Flexural Vibrations of Circular Plates by Shaped Piezoelectric Actuation ." ASME. J. Vib. Acoust. January 2003; 125(1): 88–94. https://doi.org/10.1115/1.1522418
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