Thickness-shear and thickness-twist vibrations of centrally partially electroded circular AT-cut quartz plate

Author

Xin-tao Zhao ; Zheng-hua Qian

Author_Institution

State Key Lab. of Mech. & Control of Mech. Struct., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China

fYear

2014

fDate

Oct. 30 2014-Nov. 2 2014

Firstpage

310

Lastpage

313

Abstract

This paper analyses free vibration frequencies and modes for thickness-shear and thickness-twist vibrations of centrally partially electroded circular AT-cut quartz plate. The elliptical coordinate is introduced for both un electroded and electrode part. Exact solutions of Mathieu equations which are transferred from the two-dimensional scalar differential equation derived by Tiersten and Smythe are obtained. Trapped modes are found whose vibrations are confined mainly under the circular electrodes.

Keywords

differential equations; plates (structures); quartz; vibrations; Mathieu equations; SiO₂; centrally partially electroded circular at-cut quartz plate; elliptical coordinate; thickness-shear vibrations; thickness-twist vibrations; trapped modes; two-dimensional scalar differential equation; vibration frequency; Acoustic waves; Differential equations; Educational institutions; Electrodes; Equations; Piezoelectricity; Vibrations; Circular; Quartz plate; Thickness-shear; Thickness-twist;

fLanguage

English

Publisher

ieee

Conference_Titel

Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA), 2014 Symposium on

Conference_Location

Beijing

Print_ISBN

978-1-4799-6424-6

Type

conf

DOI

10.1109/SPAWDA.2014.6998588

Filename

6998588