Optimal placement of a piezoelectric patch on plate structures for vibration suppression

J. W. Ogden; R. V. Grandhi

doi:10.1117/12.305546

16 April 1998 Optimal placement of a piezoelectric patch on plate structures for vibration suppression

J. W. Ogden, R. V. Grandhi

Proceedings Volume 3321, 1996 Symposium on Smart Materials, Structures, and MEMS; (1998) https://doi.org/10.1117/12.305546
Event: Smart Materials, Structures and MEMS, 1996, Bangalore, India

Abstract

The objective of this work is to develop a method for placement of a single shunted piezoelectric patch to dampen several modes of plate vibration. This goal is accomplished by maximizing the generalized electromechanical coupling coefficient while limiting eigenvalues for the modes under consideration. The variation introduced is the location of the center of a square piezoelectric patch. The difficulty in finding the optimal location of the patch is rooted in both the vastly different mode shapes of the plate in this study and the fact the piezoelectric stiffness is frequency dependent and the frequency is dependent on the location of the piezoelectric. A method based on determining the maximum objective function due to a user-specified relationship between the modes of vibration of a given plate is presented. A small plate and an electrical chassis box bottom plate are used as optimization examples. The method developed is highly adaptable to changes in structural design, material changes and changes in the relative importance of the modes of vibration.

Citation Download Citation

J. W. Ogden and R. V. Grandhi "Optimal placement of a piezoelectric patch on plate structures for vibration suppression", Proc. SPIE 3321, 1996 Symposium on Smart Materials, Structures, and MEMS, (16 April 1998); https://doi.org/10.1117/12.305546

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