THICKNESS-SHEAR AND THICKNESS-TWIST VIBRATIONS OF CENTRALLY PARTIALLY ELECTRODED CIRCULAR AT-CUT QUARTZ PLATE

被引:0
|
作者
Zhao, Xin-tao [1 ]
Qian, Zheng-hua [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Aerosp Engn, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
关键词
Thickness-shear; Thickness-twist; Circular; Quartz plate;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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 unelectroded and electrode part. Exact solutions of Mathieu equations which aretransferred 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.
引用
下载
收藏
页码:310 / 313
页数:4
相关论文
共 50 条
  • [1] Thickness-Shear and Thickness-Twist Vibrations of Circular AT-Cut Quartz Resonators
    Huijing He
    Jiashi Yang
    Qing Jiang
    Acta Mechanica Solida Sinica, 2013, 26 : 245 - 254
  • [2] THICKNESS-SHEAR AND THICKNESS-TWIST VIBRATIONS OF CIRCULAR AT-CUT QUARTZ RESONATORS
    Huijing He
    Jiashi Yang
    Qing Jiang
    Acta Mechanica Solida Sinica, 2013, 26 (03) : 245 - 254
  • [3] THICKNESS-SHEAR AND THICKNESS-TWIST VIBRATIONS OF CIRCULAR AT-CUT QUARTZ RESONATORS
    He, Huijing
    Yang, Jiashi
    Jiang, Qing
    ACTA MECHANICA SOLIDA SINICA, 2013, 26 (03) : 245 - 254
  • [4] ENERGY TRAPPING OF THICKNESS-SHEAR AND THICKNESS-TWIST MODES IN A PARTIALLY ELECTRODED AT-CUT QUARTZ RESONATOR
    Huijing He
    Guoquan Nie
    Jinxi Liu
    Jiashi Yang
    Acta Mechanica Solida Sinica, 2012, 25 (06) : 579 - 585
  • [5] Energy Trapping of Thickness-Shear and Thickness-Twist Modes in a Partially Electroded at-Cut Quartz Resonator
    Huijing He
    Guoquan Nie
    Jinxi Liu
    Jiashi Yang
    Acta Mechanica Solida Sinica, 2012, 25 : 579 - 585
  • [6] ENERGY TRAPPING OF THICKNESS-SHEAR AND THICKNESS-TWIST MODES IN A PARTIALLY ELECTRODED AT-CUT QUARTZ RESONATOR
    He, Huijing
    Nie, Guoquan
    Liu, Jinxi
    Yang, Jiashi
    ACTA MECHANICA SOLIDA SINICA, 2012, 25 (06) : 579 - 585
  • [7] Thickness-Shear and Thickness-Twist Vibrations of an AT-Cut Quartz Mesa Resonator
    He, Huijing
    Liu, Jinxi
    Yang, Jiashi
    IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 2011, 58 (10) : 2050 - 2055
  • [8] ANHARMONIC THICKNESS-TWIST OVERTONES OF THICKNESS-SHEAR AND FLEXURAL VIBRATIONS OF RECTANGULAR AT-CUT QUARTZ PLATES
    MINDLIN, RD
    SPENCER, WJ
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1967, 42 (06): : 1268 - &
  • [9] Thickness-shear and thickness-twist modes in an AT-cut quartz acoustic wave filter
    Zhao, Zinan
    Qian, Zhenghua
    Wang, Bin
    Yang, Jiashi
    ULTRASONICS, 2015, 58 : 1 - 5
  • [10] FREQUENCIES OF THE ENERGY-TRAPPING MODES OF THE THICKNESS-SHEAR AND THICKNESS-TWIST VIBRATIONS IN UNELECTRODED CIRCULAR, AT-CUT QUARTZ PLATES
    SLAVOV, S
    OUROUSHEV, D
    JOURNAL OF APPLIED PHYSICS, 1987, 62 (03) : 1115 - 1117