Abstract
Effect of dynamic backlash and rotational speed is investigated on the six-degree-of-freedom model of the gear-bearing system with the time-varying meshing stiffness. The relationship between dynamic backlash and center distance can be defined clearly. The nonlinear differential equations of the model are solved by the Newmark-β method. The results show that system amplitude increases in the wake of increasing rotational speed. After reaching a certain rotational speed, the system jumps from periodic motion to chaos motion, and the effective amplitude is changed violently. Comparing the dynamic backlash with fixed backlash, the amplitude of the dynamic backlash is augmented and the frequency components are diversified. The vibration displacement is enlarged by the dynamic backlash and the chaotic behavior of the system becomes complex with increasing rotational speed. The numerical results provide a useful reference source for engineers to select rotational speed section for steady running.
Highlights
Gear transmission system is called as one of the most important mechanisms used to transmit power and motion in the modern machinery industry, whose mechanism and complex nonlinear phenomenon have been the focus
Wei S et al [4] proposed a single-mesh gear system to investigate effect of periodic meshing stiffness and backlash nonlinearity based on improved IHBM method
Some dynamic factors of the gear system are discussed, few researches have investigated the effect of the rotational speed on a dynamic model of the gearbearing transmission system with dynamic center distance and backlash
Summary
Gear transmission system is called as one of the most important mechanisms used to transmit power and motion in the modern machinery industry, whose mechanism and complex nonlinear phenomenon have been the focus. S Theodossiades and S Natsiavas [1] researched dynamic characteristics of gear pair system, including backlash and time-periodic stiffness. Chen SY et al [10] raised a 6-DOF gear meshing model, in which the time-varying mesh stiffness, dynamic backlash, and effect of friction were included. Xiang L et al [11] studied the gear transmission model with dynamic friction and dynamic backlash based on the Runge-Kutta numerical method and observed effect of backlash and gear eccentricity under different rotational speeds. Some dynamic factors of the gear system are discussed, few researches have investigated the effect of the rotational speed on a dynamic model of the gearbearing transmission system with dynamic center distance and backlash. It is practically significant to ensure the stability of the gear transmission
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