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ESTIMATION OF THE QUALITY OF A HEMISPHERICAL RESONATOR GYRO ON THE BASIS OF THE EVOLUTION OF ITS FREE VIBRATIONS

机译:基于其自由振动的进化的半球形谐振器陀螺仪的质量估计

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Manufacturing imperfections of a hemispherical resonator gyro can lead to splitting of the operating natural frequency that corresponds to the second deformation shape into two close frequencies. Each of these frequencies corresponds to vibrations along the second deformation shape but with different orientations relative to the resonator body. This imperfection is called the frequency diversity and is characterized by the difference of the natural frequencies and the orientation of the principal axes that correspond to these frequencies. The splitting is observed also for the vibration decay rates. The damping decrement depends on the orientation of the wave. This imperfection is called the Q-factor diversity and is characterized by the maximum difference of the damping decrements and the orientation of the corresponding axes. These imperfections substantially influence the accuracy of the gyro. Both imperfections affect the evolution of the wave in the free vibration mode (running down mode). We propose an algorithm for determining the imperfection parameters on the basis of the signals read from the device in the running-down mode. This algorithm requires calculating the integrals of the signals with respect to lime and the difference of these signals at the boundary points of the interval of integration. Numerical examples illustrate the effectiveness of this algorithm.
机译:半球形谐振器陀螺仪的制造缺陷可以导致操作固有频率的分裂,其对应于第二变形形状到两个关闭频率。这些频率中的每一个对应于沿着第二变形形状的振动,而是相对于谐振器主体的取向不同。该缺陷称为频率分集,其特征在于,由对应于这些频率的主要轴的差异的差异。对于振动衰减速率,也观察到分裂。阻尼减少取决于波的方向。该缺陷称为Q系数分集,其特征在于阻尼递减的最大差和相应轴的方向。这些缺陷基本上影响了陀螺仪的准确性。这两个缺陷都会影响自由振动模式(运行下模式)中波的演变。我们提出了一种算法,用于基于从运行模式从设备读取的信号确定缺陷参数。该算法需要在集成间隔的边界点处计算信号的积分以及这些信号的差异。数值示例说明了该算法的有效性。

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