Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation

The electromechanical impedance model of the piezoelectric ceramics in a free state can be used for screening and quality control in the structural health monitoring community, but the derivation process of the existing model is usually complicated. This paper describes a novel theoretical derivatio...

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Main Authors: Xiangxing Kong, Chunyang Chen, Xiao Liu, Jianjian Zhu, Xinlin Qing
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/21/4735
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author Xiangxing Kong
Chunyang Chen
Xiao Liu
Jianjian Zhu
Xinlin Qing
author_facet Xiangxing Kong
Chunyang Chen
Xiao Liu
Jianjian Zhu
Xinlin Qing
author_sort Xiangxing Kong
collection DOAJ
description The electromechanical impedance model of the piezoelectric ceramics in a free state can be used for screening and quality control in the structural health monitoring community, but the derivation process of the existing model is usually complicated. This paper describes a novel theoretical derivation methodology based on the assumption of zero-stress on the free boundary of the one-dimensional transducer, which can simplify the derivation of the model to a large extent. To assess the accuracy of the model, a signal processing method based on frequency shifting transformation and the Pearson correlation coefficient is also proposed to calculate the similarity between theoretically predicted and experimentally measured data. Two different piezoelectric ceramics were used in experiments to verify the effectiveness of the model. Experimental results convincingly demonstrate that the assumption proposed in this paper possesses good feasibility for one-dimensional thin-walled piezoelectric ceramics and the model has excellent precision.
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spelling doaj.art-ac4526d92bb141e4b2e307476607b4752023-11-20T18:15:53ZengMDPI AGMaterials1996-19442020-10-011321473510.3390/ma13214735Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel DerivationXiangxing Kong0Chunyang Chen1Xiao Liu2Jianjian Zhu3Xinlin Qing4Aero Engine Academy of China, Beijing 101304, ChinaSchool of Aerospace Engineering, Xiamen University, Xiamen 361102, ChinaSchool of Aerospace Engineering, Xiamen University, Xiamen 361102, ChinaSchool of Aerospace Engineering, Xiamen University, Xiamen 361102, ChinaSchool of Aerospace Engineering, Xiamen University, Xiamen 361102, ChinaThe electromechanical impedance model of the piezoelectric ceramics in a free state can be used for screening and quality control in the structural health monitoring community, but the derivation process of the existing model is usually complicated. This paper describes a novel theoretical derivation methodology based on the assumption of zero-stress on the free boundary of the one-dimensional transducer, which can simplify the derivation of the model to a large extent. To assess the accuracy of the model, a signal processing method based on frequency shifting transformation and the Pearson correlation coefficient is also proposed to calculate the similarity between theoretically predicted and experimentally measured data. Two different piezoelectric ceramics were used in experiments to verify the effectiveness of the model. Experimental results convincingly demonstrate that the assumption proposed in this paper possesses good feasibility for one-dimensional thin-walled piezoelectric ceramics and the model has excellent precision.https://www.mdpi.com/1996-1944/13/21/4735structural health monitoringelectromechanical impedancepiezoelectric ceramicscorrelation coefficient
spellingShingle Xiangxing Kong
Chunyang Chen
Xiao Liu
Jianjian Zhu
Xinlin Qing
Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation
Materials
structural health monitoring
electromechanical impedance
piezoelectric ceramics
correlation coefficient
title Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation
title_full Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation
title_fullStr Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation
title_full_unstemmed Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation
title_short Electromechanical Impedance Model for Free 1D Thin-Walled Piezoelectric Ceramics with a Novel Derivation
title_sort electromechanical impedance model for free 1d thin walled piezoelectric ceramics with a novel derivation
topic structural health monitoring
electromechanical impedance
piezoelectric ceramics
correlation coefficient
url https://www.mdpi.com/1996-1944/13/21/4735
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AT chunyangchen electromechanicalimpedancemodelforfree1dthinwalledpiezoelectricceramicswithanovelderivation
AT xiaoliu electromechanicalimpedancemodelforfree1dthinwalledpiezoelectricceramicswithanovelderivation
AT jianjianzhu electromechanicalimpedancemodelforfree1dthinwalledpiezoelectricceramicswithanovelderivation
AT xinlinqing electromechanicalimpedancemodelforfree1dthinwalledpiezoelectricceramicswithanovelderivation