Nonlinear vibration behaviors of a micro-gyroscope system actuated by a parametric excitation
SHANG Huilin1, ZHANG Tao1, WEN Yongpeng2
1.School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China;
2.College of Urban Railway Transportation, Shanghai University of EngineeringTechnology, Shanghai 201620, China
Abstract:For a typical non-interdigitated combfinger actuated micro-gyroscope, a 2-DOF dynamic model with cubic nonlinear stiffness and parametric excitation was established. For the principal parametric resonance case and 1:1 internal resonance, the periodic solutions were obtained with the multi-scale method. Conditions of Hopf bifurcation of the periodic solutions were derived according to the theory of bifurcation. Then the dynamic responses of the system were simulated. Finally, the effect mechanism of the systems parameters on the modal amplitudes and bifurcation behaviors was analyzed. It was shown that the variation of the excitation frequency is easy to cause various complex dynamic behaviors of the microgyroscope vibrating system, such as, multi-stable solution, amplitude jump phenomena and quasi-periodic responses under a large angular speed of the carrier and 1:1 internal resonance.
尚慧琳1,张涛1,文永蓬2. 参数激励驱动微陀螺系统的非线性振动特性研究[J]. 振动与冲击, 2017, 36(1): 102-107.
SHANG Huilin1, ZHANG Tao1, WEN Yongpeng2. Nonlinear vibration behaviors of a micro-gyroscope system actuated by a parametric excitation. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(1): 102-107.
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