AN ANALYSIS OF THICKNESS-SHEAR VIBRATIONS OF CIRCULAR QUARTZ CRYSTAL PLATES
(0) Quartz crystal resonators of circular type are widely used for frequency control and detection functions with the quartz crystal plate vibrating at the thickness-shear mode.Naturally,vibrations of circular quartz crystal plates are of great interests in the design and optimization of resonators.We have derived the Mindlin plate equations for the thickness-shear vibrations of circular plates in a systematic manner.We have further proved that the thickness-shear vibrations of circular plates are consistent with rectangular plates in dispersion relations.By truncating the infinite two-dimensional equations for the thickness-shear vibrations,we obtained a set of equations with only selected vibration modes.Solving the coupled equations for thickness-shear vibration frequencies and mode shapes,we can use these results for the optimal selection of plate parameters to improve performance of resonators.The analytical equations and solution procedure are important in the analysis of quartz crystal vibrations.
Plate Circular Vibration Analysis Resonator Quartz Crystal
Chen HAO Rong-xing WU Bin HUANG Ai-bing ZHANG Ting-feng MA Jian-ke DU Dan WU Ji WANG
Piezoelecgtric Device Laboratory, School of Engineering and Mechanics, Ningbo University,818 Fenghua Department of Civil Engineering, Ningbo Polytechnic Institute, 1069 Xinda Road,Beilun District, Ning
国际会议
The 2016 Symposium on Piezoelectricity,Acoustic Waves and Device Applications(2016全国压电和声波理论及器件技术研讨会)
西安
英文
105-109
2016-10-21（万方平台首次上网日期，不代表论文的发表时间）