The frequency characteristics of cyclic symmetry silicon gyroscope

B. Jiang, Shenhu Huang, Yan Su
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Abstract

The paper presents the frequency characteristics of silicon gyroscope with cyclic symmetry architecture. The conditions of existence about degenerate modes in cyclic symmetric structures were discussed, which broadens the potential structural designs. For the n=8 cyclic symmetric patterns, which are the most common applications, 2θ and 3θ modes are degenerate, and there is a non-degenerate solution for 4θ modes. Isotropic materials are also not necessary due to structural patterns also appear periodically. However, the crystalline cycle period is required to be consistent with the structural cycle period. The spectral responses at both the stiffness axis and non-stiffness axis were conducted. The layout adjustment reduces the frequency split from 70Hz to 20Hz with 0.05 degree spoke rotation, which is consistent well with the simulations. The electromechanical coupling model with electrostatic stiffness effect was used to simulate the frequency splits compensation. For the structure, 75 volts bias voltage is required for tuning 70 Hz frequency split.
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循环对称硅陀螺仪的频率特性
本文研究了具有循环对称结构的硅陀螺的频率特性。讨论了循环对称结构中简并模态的存在条件,拓宽了结构设计的可能性。对于最常用的n=8循环对称型,2θ和3θ模态是简并的,4θ模态有一个非简并解。各向同性材料也不是必需的,因为结构模式也会周期性地出现。但要求晶体循环周期与结构循环周期一致。对刚性轴和非刚性轴进行了谱响应分析。调整布局后,辐条旋转0.05度,频率分裂从70Hz减小到20Hz,与仿真结果吻合较好。采用考虑静电刚度效应的机电耦合模型对分频补偿进行仿真。对于该结构,需要75伏的偏置电压来调谐70 Hz的频率分裂。
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