半球陀螺谐振子环向振型进动特性研究

Research on the Circumferential Precession Characteristics of Resonator of HRG

基于半球谐振子的实际加工结构特征,为降低维持半球谐振陀螺振动所需的能量损耗,建立半球谐振陀螺能量型谐振子数学模型,并研究半球谐振子绕中心轴旋转时环向振型的变化规律;通过分析半球谐振子顶端角、底端角和壁厚的非理想性对进动因子的影响,确定半球壳体旋转时应选取的最佳振型与进动因子。采用ANSYS软件构建一系列模型,验证有关理论研究结果。通过计算仿真分析可知,半球谐振子进动因子对顶端角变化的敏感性远大于对底端角变化的敏感性,且顶端角变化引起的角速度误差远大于相同底端角变化引起的角速度误差,为半球谐振陀螺的谐振子加工研制提供了理论依据。

Based on the actual processing structure characteristics of hemispherical resonator, and to reduce the loss of the energy needed for maintaining hemispheric gyro vibration, the mathematical model of energy type resonator is established to investigate the changing rule of the circumference vibrating when the hemispherical resonator is rotating about the central axis. In the paper, the influence on precession factor brought by the top angle, the bottom angle and wall unevenness of hemispherical resonator is analyzed,and the best vibrating mode and procession factor, when the hemispherical shell rotates, are selected. A series of hemispherical resonator models are established with the software ANSYS to prove the results of theoretical research.The simulation results show that precession factor of hemispherical resonator is more sensitive to the change of the top angle than to that of the bottom angle, and the error of angular velocity caused by the change of the top angle is much larger than that caused by the change of the bottom angle.