Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing
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 per...
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| Veröffentlicht in: | Applied mathematics and mechanics 2021-05, Vol.42 (5), p.677-688 |
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| container_title | Applied mathematics and mechanics |
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| creator | Liu, Jing Du, Jianke Wang, Ji Yang, Jiashi |
| description | 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. |
| doi_str_mv | 10.1007/s10483-021-2723-9 |
| format | Article |
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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.</description><edition>English ed.</edition><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><identifier>DOI: 10.1007/s10483-021-2723-9</identifier><language>eng</language><publisher>Shanghai: Shanghai University</publisher><subject>Acoustic impedance ; Acoustic waves ; Acoustics ; Applications of Mathematics ; Classical Mechanics ; Current density ; Density distribution ; Fluid- and Aerodynamics ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Parameter sensitivity ; Partial Differential Equations ; Piezoelectricity ; Resonators ; Stress concentration</subject><ispartof>Applied mathematics and mechanics, 2021-05, Vol.42 (5), p.677-688</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. 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Math. Mech.-Engl. Ed</addtitle><description>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.</description><subject>Acoustic impedance</subject><subject>Acoustic waves</subject><subject>Acoustics</subject><subject>Applications of Mathematics</subject><subject>Classical Mechanics</subject><subject>Current density</subject><subject>Density distribution</subject><subject>Fluid- and Aerodynamics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Parameter sensitivity</subject><subject>Partial Differential Equations</subject><subject>Piezoelectricity</subject><subject>Resonators</subject><subject>Stress concentration</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp1kctKAzEARYMoWKsf4C7gThjNczJZSqkPENzoOmQySU1pkzGZwdavN2WErlyEvM65gVwArjG6wwiJ-4wRa2iFCK6IILSSJ2CGuaBlx9kpmCHCacUaIs7BRc5rhBATjM1AXDpnzZBhdDCPyWljod_2ttOhrGKAZkzJhgF2NmQ_7KEPUMPe259oN0VM3sBkcwx6iAm6Mo5253O5b8fBl5x88MPqEpw5vcn26m-eg4_H5fviuXp9e3pZPLxWhko2VFxzxmgjGm4x5tzU3EnbmpqQcs5dKxmrncSU11JyVpOOCqJr1yLZCmNMS-fgdsr91sHpsFLrOKZQXlT7fd59bnbKkvJZiCNUF_hmgvsUv0abhyNNOKGYYcp4ofBEmRRzTtapPvmtTnuFkTqUoKYSVMlVhxKULA6ZnFzYsLLpmPy_9Av6JIqh</recordid><startdate>20210501</startdate><enddate>20210501</enddate><creator>Liu, Jing</creator><creator>Du, Jianke</creator><creator>Wang, Ji</creator><creator>Yang, Jiashi</creator><general>Shanghai University</general><general>Springer Nature B.V</general><general>School of Digital Technology and Engineering,Ningbo University of Finance and Economics,Ningbo 315175,Zhejiang Province,China%Piezoelectric Device Laboratory,School of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,Zhejiang Province,China%Department of Mechanical and Materials Engineering,University of Nebraska-Lincoln,Lincoln,NE 68588-0526,U.S.A</general><general>Piezoelectric Device Laboratory,School of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,Zhejiang Province,China</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20210501</creationdate><title>Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing</title><author>Liu, Jing ; Du, Jianke ; Wang, Ji ; Yang, Jiashi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c394t-5a54438785e1155c65f9ebc6225445fb9446f91356995462d372a6fb09b7cccb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Acoustic impedance</topic><topic>Acoustic waves</topic><topic>Acoustics</topic><topic>Applications of Mathematics</topic><topic>Classical Mechanics</topic><topic>Current density</topic><topic>Density distribution</topic><topic>Fluid- and Aerodynamics</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Parameter sensitivity</topic><topic>Partial Differential Equations</topic><topic>Piezoelectricity</topic><topic>Resonators</topic><topic>Stress concentration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Jing</creatorcontrib><creatorcontrib>Du, Jianke</creatorcontrib><creatorcontrib>Wang, Ji</creatorcontrib><creatorcontrib>Yang, Jiashi</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Applied mathematics and mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Jing</au><au>Du, Jianke</au><au>Wang, Ji</au><au>Yang, Jiashi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing</atitle><jtitle>Applied mathematics and mechanics</jtitle><stitle>Appl. Math. Mech.-Engl. Ed</stitle><date>2021-05-01</date><risdate>2021</risdate><volume>42</volume><issue>5</issue><spage>677</spage><epage>688</epage><pages>677-688</pages><issn>0253-4827</issn><eissn>1573-2754</eissn><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. 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| ispartof | Applied mathematics and mechanics, 2021-05, Vol.42 (5), p.677-688 |
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| source | SpringerNature Journals; Alma/SFX Local Collection |
| subjects | Acoustic impedance Acoustic waves Acoustics Applications of Mathematics Classical Mechanics Current density Density distribution Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Parameter sensitivity Partial Differential Equations Piezoelectricity Resonators Stress concentration |
| title | Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing |
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