THE COUPLED THICKNESS-SHEAR AND FLEXURAL VIBRATIONS OF QUARTZ CRYSTAL PLATES UNDER AN ELECTRIC FIELD
A nonlinear system of two-dimensional equations for the coupled thickness-shear and flexural vibrations of electroelastic plates has been established by expanding the mechanical displacements and the electrical potential into power series in the plate thickness coordinate. By Galerkin approximation, these nonlinear partial differential equations have been first converted into two ordinary differential equations which only depend on time. We further employed successive approximation method to obtain the coupled nonlinear amplitude-frequency equations of thickness-shear and flexural vibrations which can be solved for amplitude ratio between these two modes. Then we have obtained electrical current frequency-response relation of thickness-shear vibrations with given amplitude ratio and plotted curves of nonlinear frequency-response behavior with different electrical voltages. With increase of driving electrical voltage, the nonlinear frequency shift will become stronger and unstable, a clear sign of derive level dependency (DLD) phenomenon we have frequently observed in quartz crystal resonators. The basic conclusions we drawn is that the electrical field has a more significant effect on vibration frequency compared with other known factors.
Thickness-shear Vibration Nonlinear Plate Resonator
JiWANG Rong-xingWU Jian-keDU De-jin HUANG Ting-fengMA
Piezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University,818 Fenghua Road, Ningbo, Zhejiang 315211, China
国际会议
深圳
英文
382-386
2011-12-09（万方平台首次上网日期，不代表论文的发表时间）