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首页> 外文会议>Saint Petersburg International Conference on Integrated Navigation Systems; 20050523-25; Saint Petersburg(RU) >ESTIMATION OF THE QUALITY OF A HEMISPHERICAL RESONATOR GYRO ON THE BASIS OF THE EVOLUTION OF ITS FREE VIBRATIONS
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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：基于其自由振动的演化估计半球形陀螺仪的质量

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摘要

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会导致将与第二变形形状相对应的工作固有频率分裂为两个接近的频率。这些频率中的每一个对应于沿着第二变形形状的振动，但是相对于谐振器主体具有不同的取向。这种缺陷称为频率分集，其特征在于固有频率的差异以及与这些频率相对应的主轴方向的差异。对于振动衰减率也观察到分裂。衰减量取决于波的方向。这种缺陷称为Q因子分集，其特征在于阻尼递减的最大差异和相应轴的方向。这些缺陷会严重影响陀螺仪的精度。两种缺陷都会影响自由振动模式（向下运行模式）中波的演化。我们提出了一种算法，该算法可根据在运行模式下从设备读取的信号来确定缺陷参数。该算法需要计算相对于石灰的信号积分以及积分间隔边界点上这些信号的差。数值例子说明了该算法的有效性。

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