THICKNESS-VIBRATION ANALYSIS OF CIRCULAR AT-CUT QUARTZ RESONATORS PARTIALLY COVERED WITH CENTRAL ELECTRODES

摘要：

　　Vibration frequencies and trapped modes for thickness-shear vibrations of infinite and finite partially electroded circular AT-cut quartz plates are obtained by solving the two-dimensional scalar differential equations derived by Tiersten and Smythe.The Mathieu and modified Mathieu equations are derived from the governing equation using coordinate transform and collocation method is used to deal with the boundary conditions.The current study provides a theoretical way for conducting the vibration analysis of circular quartz resonators.

关键词： Circular quartz plate Thickness-vibration Mathieu function Collocation method Resonator

作者: Xiao-yun DAI Bin WANG Zheng-hua QIAN

作者单位: State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering, Nanjing University of Aeronautic and Astronautic, Nanjing 210016, China

会议类型: 国际会议

会议名称: The 2017 Symposium on Piezoelectricity,Acoustic Waves and Device Applications(2017全国压电和声波理论及器件技术研讨会)

会议地点: 成都

会议语种:英文

页码: 121-124

在线出版日期: 2017-10-27（万方平台首次上网日期，不代表论文的发表时间）