钟形振子式角速率陀螺机电耦合特性分析

Electromechanical Coupling Characteristics Analysis of Bell-Shaped Vibratory Angular Rate Gyro

钟形振子作为钟形振子式角速率陀螺的核心敏感元件,其机电耦合特性将直接影响钟形振子式角速率陀螺的整体性能。针对钟形振子式角速率陀螺在设计制作过程中未涉及的机电耦合特性展开分析,提出利用弹性力学中的能量原理和拉格朗日方法建立钟形振子机电耦合模型的方法,解决了钟形振子驱动与检测间的多场建模问题,实现了钟形振子的机电耦合关系的线性表征。首先通过分析压电驱动与检测原理,通过坐标变换给出压电电极在钟形振子作用的压电势能表述;利用弹性力学中的能量原理和拉格朗日方法建立钟形振子的机电耦合模型,分析压电电极与钟形振子特性间的关系,确定钟形振子的压电电极参数。最后通过试验手段,验证分析结果的正确性和可用性。

Bell-shaped resonator as the core of the bell-shaped vibratory angular rate gyro （BVG）, which will directly affect the electromechanical coupling characteristics of BVG＇s overall performance. For BVG in design mak- ing process in the not involved of electromechanical coupled characteristics expand analysis, proposed using elastic mechanical in the of energy principle and Lagrange method established bell-shaped resonator coupled model of method, solution has bell-shaped resonator drive and detection between of multi-field built problem, achieved has beU-shaped resonator of electromechanical coupled relationship of linear characterization. Firstly, it detected through the analysis of piezoelectric-driven principles by coordinate transformation given piezoelectric potential of the elec- trode in the bell-shaped resonator function can be stated using elastic energy in principle and Lagrange method of e- lectromechanical coupling model of bell-shaped resonator, analysis of relationship between electrode and bell-shaped resonator,bell-shaped resonator electrodes piezoelectric parameters were determined. Through a means test to verify results and availability.