Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing

doi:10.1007/s10483-021-2723-9

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (5): 677-688.doi: https://doi.org/10.1007/s10483-021-2723-9

Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing

Jing LIU^1,2, Jianke DU¹, Ji WANG¹, Jiashi YANG³

1. Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang Province, China;
2. School of Digital Technology and Engineering, Ningbo University of Finance and Economics, Ningbo 315175, Zhejiang Province, China;
3. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U. S. A.

收稿日期:2020-10-10 修回日期:2021-01-27 出版日期:2021-05-01 发布日期:2021-04-22
通讯作者: Jianke DU, E-mail:dujianke@nbu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11672141 and 11972199), the Special Research Funding from the Marine Biotechnology and Marine Engineering Discipline Group in Ningbo University, and the K. C. Wong Magana Fund through Ningbo University

Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing

Jing LIU^1,2, Jianke DU¹, Ji WANG¹, Jiashi YANG³

1. Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang Province, China;
2. School of Digital Technology and Engineering, Ningbo University of Finance and Economics, Ningbo 315175, Zhejiang Province, China;
3. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U. S. A.

Received:2020-10-10 Revised:2021-01-27 Online:2021-05-01 Published:2021-04-22
Contact: Jianke DU, E-mail:dujianke@nbu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11672141 and 11972199), the Special Research Funding from the Marine Biotechnology and Marine Engineering Discipline Group in Ningbo University, and the K. C. Wong Magana Fund through Ningbo University

摘要/Abstract

摘要： We study the relationship between the surface mechanical load represented by distributed acoustic impedance and the current density distribution in a shear mode piezoelectric plate acoustic wave resonator. A theoretical analysis based on the theory of piezoelectricity and trigonometric series is performed. In the specific and basic case when the surface load is due to a local mass layer, numerical results show that the current density concentrates under the mass layer and is sensitive to the physical as well as geometric parameters of the mass layer such as its location and size. This provides the theoretical foundation for predicting the surface impedance pattern from the current density distribution, which is fundamental to the relevant acoustic wave sensors.

关键词: piezoelectric, resonator, sensor, plate

Abstract: We study the relationship between the surface mechanical load represented by distributed acoustic impedance and the current density distribution in a shear mode piezoelectric plate acoustic wave resonator. A theoretical analysis based on the theory of piezoelectricity and trigonometric series is performed. In the specific and basic case when the surface load is due to a local mass layer, numerical results show that the current density concentrates under the mass layer and is sensitive to the physical as well as geometric parameters of the mass layer such as its location and size. This provides the theoretical foundation for predicting the surface impedance pattern from the current density distribution, which is fundamental to the relevant acoustic wave sensors.

Key words: piezoelectric, resonator, sensor, plate

中图分类号:

74J10

Jing LIU, Jianke DU, Ji WANG, Jiashi YANG. Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(5): 677-688.

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Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing

Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing

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