Maximizing the rate sensitivity of resonating gyroscopes using nonlinear shape optimization
Maximizing the rate sensitivity of resonating gyroscopes using nonlinear shape optimization
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DOI：
10.1088/1361-6439/ac6c74
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发表时间：
2022-05
影响因子：
2.3
通讯作者：
P. Polunin;S. Shaw
中科院分区：
文献类型：
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作者：
P. Polunin;S. Shaw
在这项工作中，我们演示了如何可以提高环/盘谐振陀螺仪的角速率灵敏度，通过定制它们的非线性行为的陀螺仪体和电极的系统成形，并通过分段电极上的偏置电压的调谐。特别感兴趣的是驱动和感测模式Duffing非线性，这限制了它们的动态范围，以及这些模式之间的模间色散耦合，其提供感测模式输出信号的参数放大。这两种效应具有相同的物理起源，并且在系统性能方面存在竞争，这自然需要优化考虑。本分析基于对这些设备的非线性响应的系统建模，通过该模型，我们探索了通过操纵机械和静电对非线性的贡献来优化角速率灵敏度的方法。特别地，采用陀螺仪主体厚度的非均匀修改来影响对这些参数的机械贡献，而静电分量经由谐振器电极间隙的成形以及通过在陀螺仪主体周围的分段电极之间施加非均匀偏置电压来操纵。这些模型预测，这种相对简单的改变可以实现增益的提高约一个数量级时，与均匀布局的设备相比。
In this work we demonstrate how one can improve the angular rate sensitivity of ring/disk resonating gyroscopes by tailoring their nonlinear behavior by systematic shaping of the gyroscope body and electrodes, and by the tuning of bias voltages on segmented electrodes. Of specific interest are the drive and sense mode Duffing nonlinearities, which limit their dynamic ranges, and the intermodal dispersive coupling between these modes that provides parametric amplification of the sense mode output signal. These two effects have the same physical origins and are in competition in terms of system performance, which naturally calls for optimization considerations. The present analysis is based on a systematic modeling of the nonlinear response of these devices by which we explore ways in which one can optimize the angular rate sensitivity by manipulating the mechanical and electrostatic contributions to the nonlinearities. In particular, non-uniform modifications of the gyroscope body thickness are employed to affect the mechanical contributions to these parameters, while the electrostatic components are manipulated via shaping of the resonator-electrode gap and by applying non-uniform bias voltages among segmented electrodes around the gyroscope body. These models predict that such relatively simple alterations can achieve improvements in gain by about an order of magnitude when compared to devices with uniform layouts.