An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester

It has been proven that tapering the piezoelectric beam through its length optimizes the power extracted from vibration based energy harvesting. This phenomenon has been investigated by some researchers using semianalytical, finite element and experimental methods. In this paper, an exact analytical...

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Main Authors: H. Salmani, G. H. Rahimi, S. A. Hosseini Kordkheili
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2015/426876
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author H. Salmani
G. H. Rahimi
S. A. Hosseini Kordkheili
author_facet H. Salmani
G. H. Rahimi
S. A. Hosseini Kordkheili
author_sort H. Salmani
collection DOAJ
description It has been proven that tapering the piezoelectric beam through its length optimizes the power extracted from vibration based energy harvesting. This phenomenon has been investigated by some researchers using semianalytical, finite element and experimental methods. In this paper, an exact analytical solution is presented to calculate the power generated from vibration of exponentially tapered unimorph and bimorph with series and parallel connections. The mass normalized mode shapes of the exponentially tapered piezoelectric beam with tip mass are implemented to transfer the proposed electromechanical coupled equations into modal coordinates. The steady states harmonic solution results are verified both numerically and experimentally. Results show that there exist values for tapering parameter and electric resistance in a way that the output power per mass of the energy harvester will be maximized. Moreover it is concluded that the electric resistance must be higher than a specified value for gaining more power by tapering the beam.
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institution Kabale University
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publishDate 2015-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-c81465f81ef545dea802271a484166fb2025-02-03T06:05:19ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/426876426876An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy HarvesterH. Salmani0G. H. Rahimi1S. A. Hosseini Kordkheili2Department of Aerospace Engineering, Tarbiat Modares University, Jalal Ale Ahmad Highway, P.O. Box 14115-111, Tehran, IranDepartment of Mechanical Engineering, Tarbiat Modares University, Jalal Ale Ahmad Highway, P.O. Box 14115-111, Tehran, IranDepartment of Aerospace Engineering, Sharif University of Technology, Azadi Street, P.O. Box 11365-11155, Tehran, IranIt has been proven that tapering the piezoelectric beam through its length optimizes the power extracted from vibration based energy harvesting. This phenomenon has been investigated by some researchers using semianalytical, finite element and experimental methods. In this paper, an exact analytical solution is presented to calculate the power generated from vibration of exponentially tapered unimorph and bimorph with series and parallel connections. The mass normalized mode shapes of the exponentially tapered piezoelectric beam with tip mass are implemented to transfer the proposed electromechanical coupled equations into modal coordinates. The steady states harmonic solution results are verified both numerically and experimentally. Results show that there exist values for tapering parameter and electric resistance in a way that the output power per mass of the energy harvester will be maximized. Moreover it is concluded that the electric resistance must be higher than a specified value for gaining more power by tapering the beam.http://dx.doi.org/10.1155/2015/426876
spellingShingle H. Salmani
G. H. Rahimi
S. A. Hosseini Kordkheili
An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester
Shock and Vibration
title An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester
title_full An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester
title_fullStr An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester
title_full_unstemmed An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester
title_short An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester
title_sort exact analytical solution to exponentially tapered piezoelectric energy harvester
url http://dx.doi.org/10.1155/2015/426876
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