阐明了所研制的微机械陀螺可用于检测旋转体的自旋频率。首先,根据微机械陀螺结构特点和工作原理得出陀螺榆出信号的频率取决于陀螺敏感轴和偏转方向之间夹角的变化,进而得到微机械陀螺输出信号频率与旋转体自旋频率之间的关系。其次,在旋转体处于恒值运动、角振动运动、圆周运动和椭圆运动等四种基本运动形式下,分别建立了陀螺测量旋转体自旋频率的数学模型,并采用加速度计输出为基准信号,推导出陀螺输出信号频率与旋转体自旋频率、运动形式、运动频率、运动方向之间的关系。最后,利用三轴转台模拟旋转体的四种运动形式,并将陀螺输出信号和加速计输出信号进行频谱分析。试验结果表明,理论分析与试验结果相吻合,该微机械陀螺可用于测量旋转体自旋频率。
Based on the construction and principle of micromachined gyroscope, the frequency of gyroscope output signal was derived which was depended on the angle between sensitivity axis of gyroscope and deflexion direction of rotating carrier, and then the relations between the rotating carrier spin frequency and the frequency of the gyroscope output signal is obtained. The mathematical models to measure rotating carrier spin frequency were given when rotating carrier is under four different movements. By comparing with the output of accelerometer, the frequency of the gyroscope is deduced, that is, it relies on rotating carrier spin frequency, movement way, movement frequency and movement direction. At last, the frequency spectrum of output signal of gyroscope and accelerometer was analyzed in the experiment. The result show that it is in accordance with the theoretical value and the proposed gyroscope can be used to measure the rotating carrier's spin frequency.