第30卷第7期 2017年7月
传感技术学报
CHINESE JOURNAL OF SENSORS AND ACTUATORS
Vol. 30No.7 July2017
ElectromechanicalCouplingCharacteristicsAnalysisof
Bell-ShapedVibratoryAngularRateGyro
LIU Ning'", SU Zhong"?
( 1.&choof of Anfomation, Bejing Irformation Science and Technofogy U/nizersily, Bejing 100101, China ; 2. Institute of Inelligence Control,Bejing Information Sciemce and Technalogy Unizersity,Bejing 100101, China)
Abstract: 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 characteristies 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 bell-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.
Key words : bell-shaped vibratory angular rate gyro ; bell-shaped resonator; angular rate measurement; electrome-chanical coupling characteristies
EEACC:7230
doi :10.3969/j.issn.10041699.2017.07.001
钟形振子式角速率陀螺机电耦合特性分析*
刘宁1，苏中1,2
（1.北京信息科技大学高动态导航技术北京市重点实验室，北京100101;2.北京理工大学自动化学院，北京100101）
摘要：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间题，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关键词：钟形振子式角速率陀螺；钟形振子：角速率测量；机电揭合特性
中图分类号：TP212.1
文献标识码：A
钟形振子式角速率陀螺是受中国传统大钟启发而来的一种新型轴对称壳谐振陀螺。是一种利用钟形振子壳体上驻波的进动效应，来检测输人角速率的固体波动陀螺。其核心器件为一个类似于毫米级中国传统大钟的钟形振子，通过振子壁上的激励和检测
文章编号：1004-1699(2017)07-0977-08
电极，来控制振子振型从而产生特定驻波，并提取驻波的进动来检测输人角速度。其不仅具有传统固体振动陀螺低成本、低功耗、长寿命、高灵敏度的优点外，而且还具有结构简单、抗冲击能力强的特点，能够更好的应用在中低精度角速率测量领域[1-2]
项目来源：国家自然科学基金项目(61471046）；北京市自然科学基金项目（4172022)；北京市教委市属高校创新能力提升计划项目
（TJSHG201510772017）；北京市科技专项项目（Z161100005016109）；高动态导航技术北京市重点实验室开放课题项目
收稿日期：2016-08-19
修改日期：2017-02-27