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The Effect of a Localized Mass Non-Uniformity on a Longitudinally Vibrating Piezoelectric Rod

2012
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  • 13
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Poster Description

This paper describes the effects of a localized (point)-mass non-uniformity located arbitrarily on a longitudinally vibrating piezoelectric rod. The point-mass non-uniformity is accounted for using the receptance method. Expressions for the natural frequencies, modes, and the forced solution for the non-uniform rod and corresponding impedance are developed in closed form. The model is experimentally verified using impedance data from piezoelectric rods with attached concentrated masses. Methods for back-calculating the location of the point-mass using the experimental impedance trace are also described. The modeling approach detailed in this paper is potentially useful in the design of piezoelectric transformers and health monitoring of piezoelectric sensors and devices, as well as other piezoelectric devices.

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