Dynamical Modeling and Nonlinear Analysis of Microgyroscope
WEN Yong-peng 1 SHANG Hui-lin 2
1. College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China;2. School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 200235, China
Abstract:This paper presents dynamics analysis model of microgyroscope, a multi-scale method is used to solve the nonlinear model of the microgyroscope. The influence of the output of the microgyroscope for the diving and the sensing spring beams is disscussed. The design principle of the bandwidth of micromachined gyroscope is studied considering the nonlinear stiffness. The results show that for the vibration system of microgyroscope, the detection sensitivity correlates negatively with the bandwidth. The input angular velocity has a nonlinear relationship with the detection output due to nonlinear stiffness of the mircromachined sping beams of the microgyroscope. Therefore, In the view of the design for the spring beams, the couple effects for the stiffness of the driving spring beam is relatively low, the appropriate spring beam can be selected according to the larger output or smaller nonlinear requirements. The stiffness of the sensing spring beam can be selected for a smaller nonlinear stiffness.