Abstract
A two-dimensional non-linear dynamics model of a gear with meshing beyond pitch point with six degrees has been established, considering time-varying meshing stiffness, time-varying bearing stiffness, time-varying friction, backlash and bearing clearance. Time-varying meshing stiffness is computed by using material mechanics method. The friction coefficient of Coulomb model and the friction coefficient of EHL theory are analyzed and compared in dynamic response. The global bifurcation characteristics caused by input speed, backlash, bearing clearance and damping are investigated. The maximum Lyapunov exponent which leads to chaos characters effect of changing parameters is analyzed. The verification experiment is carried out on the CL-100 test rig. Meshing frequency has main impact on vibration acceleration of ordinary spur gear and double meshing frequency has main impact on vibration acceleration of gear with meshing beyond pitch point. The results show that the gear with meshing beyond is better than ordinary spur gear whether in bifurcation characteristics or in vibration acceleration response.
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Acknowledgments
This study was supported by National Key Laboratory of Science and Technology on Helicopter Transmission (Nanjing University of Aeronautics and Astronautics) (Grant No. HTL-A-19K03) and the National Natural Science Foundation of China (51975274).
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He-yun Bao received her Ph.D. degree in Mechanical Engineering in Nanjing University of Aeronautics and Astronautics (NUAA) in 2007. She was a visiting scholar at University of Virginia (UVA) from 2015 to 2016. She is currently an Associate Professor of the National Key Laboratory of Science and Technology on Helicopter Transmission, NUAA. Her research interests are focused on helicopter transmission system, gear dynamics, rotor dynamic analysis, dynamic modelling, numerical simulations and thermal analysis.
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Bao, Hy., Jin, Gh. & Lu, Fx. Nonlinear dynamic analysis of an external gear system with meshing beyond pitch point. J Mech Sci Technol 34, 4951–4963 (2020). https://doi.org/10.1007/s12206-020-1101-8
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DOI: https://doi.org/10.1007/s12206-020-1101-8