An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration

An improved lumped parameter model (ILPM) is proposed which predicts the output characteristics of a piezoelectric vibration energy harvester (PVEH). A correction factor is derived for improving the precisions of lumped parameter models for transverse vibration, by considering the dynamic mode shape...

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Main Authors: Guang-qing Wang, Yue-ming Lu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/935298
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spelling doaj-158ab34eb11f429f9d2159888d3da28c2020-11-24T21:58:32ZengHindawi LimitedShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/935298935298An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse VibrationGuang-qing Wang0Yue-ming Lu1School of Information & Electronics Engineering, Zhejiang Gongshang University, No. 18 Xuezheng Street, Xiasha University Town, Hangzhou 310018, ChinaSchool of Information & Electronics Engineering, Zhejiang Gongshang University, No. 18 Xuezheng Street, Xiasha University Town, Hangzhou 310018, ChinaAn improved lumped parameter model (ILPM) is proposed which predicts the output characteristics of a piezoelectric vibration energy harvester (PVEH). A correction factor is derived for improving the precisions of lumped parameter models for transverse vibration, by considering the dynamic mode shape and the strain distribution of the PVEH. For a tip mass, variations of the correction factor with PVEH length are presented with curve fitting from numerical solutions. The improved governing motion equations and exact analytical solution of the PVEH excited by persistent base motions are developed. Steady-state electrical and mechanical response expressions are derived for arbitrary frequency excitations. Effects of the structural parameters on the electromechanical outputs of the PVEH and important characteristics of the PVEH, such as short-circuit and open-circuit behaviors, are analyzed numerically in detail. Accuracy of the output performances of the ILPM is identified from the available lumped parameter models and the coupled distributed parameter model. Good agreement is found between the analytical results of the ILPM and the coupled distributed parameter model. The results demonstrate the feasibility of the ILPM as a simple and effective means for enhancing the predictions of the PVEH.http://dx.doi.org/10.1155/2014/935298
collection DOAJ
language English
format Article
sources DOAJ
author Guang-qing Wang
Yue-ming Lu
spellingShingle Guang-qing Wang
Yue-ming Lu
An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration
Shock and Vibration
author_facet Guang-qing Wang
Yue-ming Lu
author_sort Guang-qing Wang
title An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration
title_short An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration
title_full An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration
title_fullStr An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration
title_full_unstemmed An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration
title_sort improved lumped parameter model for a piezoelectric energy harvester in transverse vibration
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2014-01-01
description An improved lumped parameter model (ILPM) is proposed which predicts the output characteristics of a piezoelectric vibration energy harvester (PVEH). A correction factor is derived for improving the precisions of lumped parameter models for transverse vibration, by considering the dynamic mode shape and the strain distribution of the PVEH. For a tip mass, variations of the correction factor with PVEH length are presented with curve fitting from numerical solutions. The improved governing motion equations and exact analytical solution of the PVEH excited by persistent base motions are developed. Steady-state electrical and mechanical response expressions are derived for arbitrary frequency excitations. Effects of the structural parameters on the electromechanical outputs of the PVEH and important characteristics of the PVEH, such as short-circuit and open-circuit behaviors, are analyzed numerically in detail. Accuracy of the output performances of the ILPM is identified from the available lumped parameter models and the coupled distributed parameter model. Good agreement is found between the analytical results of the ILPM and the coupled distributed parameter model. The results demonstrate the feasibility of the ILPM as a simple and effective means for enhancing the predictions of the PVEH.
url http://dx.doi.org/10.1155/2014/935298
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