驱动刚度非线性对双检测微陀螺性能的影响

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摘要驱动刚度非线性的存在会导致幅频曲线出现典型的非线性硬化特性，从而影响双检测微陀螺检测输出信号和灵敏度的稳定性。为对比线性刚度和非线性刚度对微陀螺检测输出的影响规律，首先求解线性刚度下系统的稳态响应，其次采用多尺度法求解非线性动力学方程的近似周期解，并考虑科氏力对检测输出的影响，在此基础上探讨驱动刚度立方非线性对双检测微陀螺系统主共振的幅频曲线、共振频率、灵敏度的影响规律。研究发现：驱动模态共振频率与刚度非线性及振动峰值密切相关；刚度非线性越强，固有频率的漂移量对振幅的变化就越敏感。较弱的驱动刚度非线性就会导致检测一和二在驱动模态频率处的幅值大幅下降，由此对微陀螺的输出信号产生极大影响，降低了微陀螺检测信号的稳定性，并与基于线性设计的灵敏度值产生极大的偏差。

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	郝淑英1
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	李伟雄1
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	李会杰1
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	张琪昌3
	冯晶晶1
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关键词 ：双检测微陀螺, 多尺度法, 科氏力, 驱动刚度立方非线性, 灵敏度

Abstract：The existence of stiffness nonlinearity leads to the typical nonlinear hardening characteristic of the amplitude-frequency curve, which affects the stability of double sense-mode micro gyroscope’s output signals and its sensitivity.To compare the influences of linear and nonlinear stiffnesses on gyroscope’s output signals, the steady-state response of the system with linear stiffness was solved firstly.Next, the multi-scale method was used to get the approximate periodic solution of the nonlinear dynamic equation, and the influence of Coriolis force on the outputs was considered.On this basis, the influence of driving cubic stiffness nonlinearity on the amplitude-frequency curve, resonance frequency and sensitivity under primary resonance was discussed.The results show that the driving mode resonance frequency is closely related to the stiffness nonlinearity and peak value of vibration, and the stronger stiffness nonlinearity is, the more sensitive variation of resonance frequency’s drift to the amplitude is.The weak driving stiffness nonlinearity could result in a significant decrease in two sense-mode’s amplitudes at driving mode frequency.Thus, the output signal of the gyroscope is greatly affected, which reduces the stability of the gyroscope’s detection signal and produces a great deviation from the sensitivity value based on linear design.

Key words： double sense-mode micro gyroscope multi-scale method Coriolis force drive stiffness cubic nonlinearity sensitivity

收稿日期: 2018-02-06 出版日期: 2019-07-15

引用本文:

郝淑英1,2，李伟雄1,2，李会杰1,2，张琪昌3，冯晶晶1,2. 驱动刚度非线性对双检测微陀螺性能的影响[J]. 振动与冲击, 2019, 38(14): 131-137.
HAO Shuying 1,2, LI Huijie 1,2, ZHANG Chenqing 1,2, ZHANG Qichang 3, FENG Jingjing 1,2. Effect of driving stiffness nonlinearity on the performance of a double sense-mode micro gyroscope. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(14): 131-137.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I14/131

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