Predictive Electromechanical Model for Energy Scavengers Using Patterned Piezoelectric Layers
Publication: Journal of Engineering Mechanics
Volume 141, Issue 2
Abstract
The piezoelectric transduction mechanism is widely used in passive sensing, health monitoring, and energy harvesting. Plate-type energy harvesters are usually discouraged; however, piezoelectric layers on a substrate in a certain pattern were found to be suitable for harvesting energy from a wider band of frequencies. However, to understand the theoretical behavior of the harvesters with any arbitrarily shaped piezo patch, a detailed mathematical model is lacking. This paper proposes a comprehensive analytical model to calculate the frequency response function (FRF) from simply patterned piezoelectric layers. A generalized mathematical form is presented for an arbitrary rectangular piezoelectric patch placed on a host plate. The strain-rate damping mechanism is incorporated for better and more accurate results. First, a comparative study on the strain-rate damping effect is presented by placing the piezoelectric layer on the entire plate. Without strain-rate damping, the model incorrectly estimates voltage output. Further, a methodology through a genetic algorithm optimization process is proposed to generate the required pattern of piezoelectric layers tailored to a desired requirement. With the proposed generalized mathematical model, the voltage output from the harvester with any particular shape and size of piezoelectric layers can be calculated predictively.
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Acknowledgments
The project was funded by the Office of the Vice President for Research, University of South Carolina. The authors thank the Department of Civil Engineering and Engineering Mechanics at the University of Arizona for providing access to the MATLAB Global Optimization Toolbox.
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Information
Published In
Journal of Engineering Mechanics
Volume 141 • Issue 2 • February 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Nov 8, 2013
Accepted: May 28, 2014
Published online: Jun 27, 2014
Published in print: Feb 1, 2015
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