The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer

Peng Li; Feng Jin

doi:10.1109/SPAWDA.2012.6464106

The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer

Peng Li
, Feng Jin

School of Aerospace Engineering

Xi'an Jiaotong University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The anti-plane vibration of a quartz plate having an additional partial non-uniform mass layer on its upper surface is solved by ignoring the effect of small c₅₆ in comparison with other elastic constants. Based on the Fourier sine and cosine series solution, the convergence and verification are examined. The frequency spectrum, as well as the energy trapping, are discussed. Compared with the homogeneous mass layer, the non-homogeneous layer with greater inertia leads to more modes trapped under the same condition. All the results obtained give theoretical guidance for physical phenomena explanations of layer properties in quartz crystal microbalance.

Original language	English
Title of host publication	Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012
Pages	349-352
Number of pages	4
DOIs	https://doi.org/10.1109/SPAWDA.2012.6464106
State	Published - 2012
Event	2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012 - Shanghai, China Duration: 23 Nov 2012 → 25 Nov 2012

Publication series

Name	Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012

Conference

Conference	2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012
Country/Territory	China
City	Shanghai
Period	23/11/12 → 25/11/12

Keywords

Anti-Plane Vibration
Energy Trapping
Frequency Shift
Non-Uniform Mass Layer

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10.1109/SPAWDA.2012.6464106

Cite this

Li, P., & Jin, F. (2012). The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer. In Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012 (pp. 349-352). Article 6464106 (Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012). https://doi.org/10.1109/SPAWDA.2012.6464106

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title = "The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer",

abstract = "The anti-plane vibration of a quartz plate having an additional partial non-uniform mass layer on its upper surface is solved by ignoring the effect of small c56 in comparison with other elastic constants. Based on the Fourier sine and cosine series solution, the convergence and verification are examined. The frequency spectrum, as well as the energy trapping, are discussed. Compared with the homogeneous mass layer, the non-homogeneous layer with greater inertia leads to more modes trapped under the same condition. All the results obtained give theoretical guidance for physical phenomena explanations of layer properties in quartz crystal microbalance.",

keywords = "Anti-Plane Vibration, Energy Trapping, Frequency Shift, Non-Uniform Mass Layer",

author = "Peng Li and Feng Jin",

year = "2012",

doi = "10.1109/SPAWDA.2012.6464106",

language = "英语",

isbn = "9781467348164",

series = "Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012",

pages = "349--352",

booktitle = "Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012",

note = "2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012 ; Conference date: 23-11-2012 Through 25-11-2012",

}

Li, P & Jin, F 2012, The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer. in Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012., 6464106, Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012, pp. 349-352, 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012, Shanghai, China, 23/11/12. https://doi.org/10.1109/SPAWDA.2012.6464106

The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer. / Li, Peng; Jin, Feng.
Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012. 2012. p. 349-352 6464106 (Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Jin, Feng

PY - 2012

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N2 - The anti-plane vibration of a quartz plate having an additional partial non-uniform mass layer on its upper surface is solved by ignoring the effect of small c56 in comparison with other elastic constants. Based on the Fourier sine and cosine series solution, the convergence and verification are examined. The frequency spectrum, as well as the energy trapping, are discussed. Compared with the homogeneous mass layer, the non-homogeneous layer with greater inertia leads to more modes trapped under the same condition. All the results obtained give theoretical guidance for physical phenomena explanations of layer properties in quartz crystal microbalance.

AB - The anti-plane vibration of a quartz plate having an additional partial non-uniform mass layer on its upper surface is solved by ignoring the effect of small c56 in comparison with other elastic constants. Based on the Fourier sine and cosine series solution, the convergence and verification are examined. The frequency spectrum, as well as the energy trapping, are discussed. Compared with the homogeneous mass layer, the non-homogeneous layer with greater inertia leads to more modes trapped under the same condition. All the results obtained give theoretical guidance for physical phenomena explanations of layer properties in quartz crystal microbalance.

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Li P, Jin F. The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer. In Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012. 2012. p. 349-352. 6464106. (Proceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012). doi: 10.1109/SPAWDA.2012.6464106

The anti-plane vibration of quartz plate with an additional partial non-uniform mass layer

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