Abstract
Gear backlash is a nonlinear effect of the gear system. In a spur gear system with the backlash, the initial position of gears with the backlash affects the impact force. This work conducted a dynamic analysis of the spur gear system with time-varying mesh stiffness and bearing stiffness with a focus on the initial gear position within the backlash. For this purpose, the time-varying stiffness of the gears and rolling bearings were calculated. Mesh force with the time-varying stiffness and the gear backlash was applied to four DOF equations of motion. The equations of motion were solved using the Newmark beta method and Newton-Raphson method. The dynamic characteristics of the spur gear system by the initial position of gears within the backlash were investigated along with the magnitude of the backlash. The results showed that as the backlash increased, the mesh and bearing forces increased as well. The mesh and bearing forces were highly dependent on the initial gear position within the backlash. Significant initial mesh and bearing forces by the initial gear position within the backlash can lead to cumulative damages to the gear system.
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Acknowledgments
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A3 B03032458).
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Recommended by Editor No-cheol Park
Chan IL Park, who received a B.S., an M.S., and a Ph.D. in mechanical engineering at Seoul National University, worked at Hyundai Motor Company for eight years. He was a dean of the College of Engineering at Kangnung Na-tional University for two years. He was the President of KSME and is a Professor in the precision mechanical engineering at Gangneungwonju National University. His research interests are gears, plate, shell, optimal design, noise and vibration.
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Park, C.I. Dynamic behavior of the spur gear system with time varying stiffness by gear positions in the backlash. J Mech Sci Technol 34, 565–572 (2020). https://doi.org/10.1007/s12206-020-0104-9
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DOI: https://doi.org/10.1007/s12206-020-0104-9