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| Influence of sense stiffness nonlinearity on the sensitivity stability of a double-sense micro-gyroscope |
| HAO Shu-ying 1,2 LI Hui-jie 1,2 ZHANG Chen-qing 1,2 ZHANG Qi-chang 3 FENG Jing-jing 1,2 LI Lei 3 |
1.National Experimental Teaching Demonstration Center of Mechanical and Electrical Engineering,Tianjin University of Technology, Tianjin 300384, China；2.Tianjin Key Laboratory of Advanced Electromechanical System Design and Intelligent Control, Tianjin 300384, China；
3.Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin 300072, China |
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Abstract To reveal the influence of stiffness nonlinearity on the stability and accuracy of double-sense micro-gyroscope sensitivity, firstly, the linear response of a double-sense equation was solved by using the complex exponential method.Secondly, the multi-scale method was used to analyze the nonlinear dynamic equation considering the influence of the Coriolis force on the sense output.An effective method to deal with the coupling term of high-dimensional nonlinear equations was proposed.The influence of the sense nonlinearity stiffness on the amplitude-frequency curve and the resonance frequency were studied.It is found that the sense nonlinearity stiffness causes the complex nonlinear behavior such as hardening, amplitude jumping, multiple solutions and resonance frequency shift, which leads to the instability of the micro-gyroscope sensitivity.The stability of the micro-gyroscope sensitivity and the unsteady bandwidth range are very sensitive to stiffness nonlinearity.When the stiffness nonlinearity reaches a certain value, its small growth will also seriously affect the stability of the micro-gyroscope sensitivity and increase the bandwidth instability range, which leads to linear system design failure.
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Received: 18 July 2017
Published: 15 December 2018
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