Electromechanical Impedance Response of a Cracked Timoshenko Beam

Typically, the Electromechanical Impedance (EMI) technique does not use an analytical model for basic damage identification. However, an accurate model is necessary for getting more information about any damage. In this paper, an EMI model is presented for predicting the electromechanical impedance...

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Main Authors: Cuiqin Wu, Dongdong Wen, Jiazhao Chen, Fuhou Xu, Yuxiang Zhang
Format: Article
Language:English
Published: MDPI AG 2011-07-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/11/7/7285/
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author Cuiqin Wu
Dongdong Wen
Jiazhao Chen
Fuhou Xu
Yuxiang Zhang
author_facet Cuiqin Wu
Dongdong Wen
Jiazhao Chen
Fuhou Xu
Yuxiang Zhang
author_sort Cuiqin Wu
collection DOAJ
description Typically, the Electromechanical Impedance (EMI) technique does not use an analytical model for basic damage identification. However, an accurate model is necessary for getting more information about any damage. In this paper, an EMI model is presented for predicting the electromechanical impedance of a cracked beam structure quantitatively. A coupled system of a cracked Timoshenko beam with a pair of PZT patches bonded on the top and bottom surfaces has been considered, where the bonding layers are assumed as a Kelvin-Voigt material. The shear lag model is introduced to describe the load transfer between the PZT patches and the beam structure. The beam crack is simulated as a massless torsional spring; the dynamic equations of the coupled system are derived, which include the crack information and the inertial forces of both PZT patches and adhesive layers. According to the boundary conditions and continuity conditions, the analytical expression of the admittance of PZT patch is obtained. In the case study, the influences of crack and the inertial forces of PZT patches are analyzed. The results show that: (1) the inertial forces affects significantly in high frequency band; and (2) the use of appropriate frequency range can improve the accuracy of damage identification.
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spelling doaj.art-fc0599ced7744e4fbd0c26d69c1b2b882022-12-22T01:58:35ZengMDPI AGSensors1424-82202011-07-011177285730110.3390/s110707285Electromechanical Impedance Response of a Cracked Timoshenko BeamCuiqin WuDongdong WenJiazhao ChenFuhou XuYuxiang ZhangTypically, the Electromechanical Impedance (EMI) technique does not use an analytical model for basic damage identification. However, an accurate model is necessary for getting more information about any damage. In this paper, an EMI model is presented for predicting the electromechanical impedance of a cracked beam structure quantitatively. A coupled system of a cracked Timoshenko beam with a pair of PZT patches bonded on the top and bottom surfaces has been considered, where the bonding layers are assumed as a Kelvin-Voigt material. The shear lag model is introduced to describe the load transfer between the PZT patches and the beam structure. The beam crack is simulated as a massless torsional spring; the dynamic equations of the coupled system are derived, which include the crack information and the inertial forces of both PZT patches and adhesive layers. According to the boundary conditions and continuity conditions, the analytical expression of the admittance of PZT patch is obtained. In the case study, the influences of crack and the inertial forces of PZT patches are analyzed. The results show that: (1) the inertial forces affects significantly in high frequency band; and (2) the use of appropriate frequency range can improve the accuracy of damage identification.http://www.mdpi.com/1424-8220/11/7/7285/electromechanical impedancestructural health monitoringPZTTimoshenko beam
spellingShingle Cuiqin Wu
Dongdong Wen
Jiazhao Chen
Fuhou Xu
Yuxiang Zhang
Electromechanical Impedance Response of a Cracked Timoshenko Beam
Sensors
electromechanical impedance
structural health monitoring
PZT
Timoshenko beam
title Electromechanical Impedance Response of a Cracked Timoshenko Beam
title_full Electromechanical Impedance Response of a Cracked Timoshenko Beam
title_fullStr Electromechanical Impedance Response of a Cracked Timoshenko Beam
title_full_unstemmed Electromechanical Impedance Response of a Cracked Timoshenko Beam
title_short Electromechanical Impedance Response of a Cracked Timoshenko Beam
title_sort electromechanical impedance response of a cracked timoshenko beam
topic electromechanical impedance
structural health monitoring
PZT
Timoshenko beam
url http://www.mdpi.com/1424-8220/11/7/7285/
work_keys_str_mv AT cuiqinwu electromechanicalimpedanceresponseofacrackedtimoshenkobeam
AT dongdongwen electromechanicalimpedanceresponseofacrackedtimoshenkobeam
AT jiazhaochen electromechanicalimpedanceresponseofacrackedtimoshenkobeam
AT fuhouxu electromechanicalimpedanceresponseofacrackedtimoshenkobeam
AT yuxiangzhang electromechanicalimpedanceresponseofacrackedtimoshenkobeam