Zhao Zinan, Qian Zhenghua, Wang Bin
State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
Ultrasonics. 2016 Dec;72:73-9. doi: 10.1016/j.ultras.2016.07.012. Epub 2016 Jul 25.
We study the thickness-shear vibrations of an x-strip monolithic piezoelectric plate made from AT-cut quartz crystals with two unequal electrode pairs. The Tiersten-Smythe scalar differential equations for electroded and unelectroded quartz plates are separately employed, resulting in free vibration distributions and frequencies of operating modes. The vibrations of these operating modes are mainly trapped in the electroded regions. The loss of the structural symmetry can lead to a weak vibration interaction between two electroded regions. The influences of electrode difference on the vibration and frequency interference between two adjacent resonators are investigated in detail. The obtained results provide a fundamental reference to the design and optimization of multi-channel quartz crystal microbalance.
我们研究了由具有两对不等电极的AT切石英晶体制成的x条形单片压电板的厚度剪切振动。分别采用了针对有电极和无电极石英板的Tiersten-Smythe标量微分方程，得出了自由振动分布和工作模式频率。这些工作模式的振动主要集中在有电极区域。结构对称性的丧失会导致两个有电极区域之间的振动相互作用较弱。详细研究了电极差异对两个相邻谐振器之间的振动和频率干扰的影响。所得结果为多通道石英晶体微天平的设计和优化提供了基本参考。
Zotero 插件