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首页> 外文会议>Saint Petersburg International Conference on Integrated Navigation Systems; 20050523-25; Saint Petersburg(RU) >INFLUENCE OF ANISOTROPY ON DYNAMICS AND ACCURACY OF HEMISPHERICAL RESONATOR GYROSCOPE
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INFLUENCE OF ANISOTROPY ON DYNAMICS AND ACCURACY OF HEMISPHERICAL RESONATOR GYROSCOPE

机译：各向异性对半球谐振器陀螺仪动力学及精度的影响

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摘要

Hemispherical resonator gyroscope (HRG) is one of the perspective menial ensors used in navigation systems. The model problem about influence of anisotropy of the ring resonator material on device dynamics and accuracy was solved in [2]. It was shown that small misalignment of resonator symmetry axis and crystallographic axis leads to significant device error. It is shown, that the small comer between an axis of symmetry of the resonator and an axis of isotropy of a monocrystal is the reason of significant errors of a gyroscope. The purpose of this work is to determine the hemispherical resonator gyroscope error caused by resonator's material anisotropy and manufacturing defects. Two systems of the ordinary differential equations describing dynamics of the resonator's fluctuations forms with not extensible median surface were received. The own fluctuations frequencies of the resonator were found with use of a method of small parameter. It is shown, that at a small deviation of an axis of symmetry of the resonator from an axis of symmetry of a crystal, there is a bifurcation of working frequency, thus a wave picture precesses with the angular velocity, proportional to magnitude of a difference of frequencies. The numerical estimations of frequencies of the anisotropic resonator were given.
机译：半球谐振陀螺仪（HRG）是导航系统中使用的透视传感器。在[2]中解决了关于环形谐振器材料的各向异性对器件动力学和精度影响的模型问题。结果表明，谐振器对称轴和晶轴的未对准会导致明显的器件误差。示出了，谐振器的对称轴与单晶的各向同性轴之间的小拐角是陀螺仪显着误差的原因。这项工作的目的是确定由谐振器的材料各向异性和制造缺陷引起的半球形谐振器陀螺仪误差。接收到两个描述了谐振器起伏形式中值表面不可扩展的动力学微分方程的系统。使用小参数的方法找到了谐振器自身的波动频率。可以看出，在谐振器的对称轴与晶体的对称轴有很小偏差的情况下，存在工作频率的分叉，因此波图像的角速度与差值的大小成正比。的频率。给出了各向异性谐振器频率的数值估计。

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