The linear conjugate tooth profile is studied, and the advantages of the linear conjugate tooth profile are applied to the field of planetary gear reducer, so as to improve the working performance of the reducer and provide theoretical basis and technical support for its development and application in the reducer.
Early research on planetary gear reducer with small tooth difference mainly focused on transmission accuracy, load distribution, modification coefficient selection, etc., aiming to solve the design and manufacturing problems of planetary gear reducer with small tooth difference. Up to now, the vibration characteristics of planetary reducer with small tooth difference have become the focus of research. Yang Jiangbing et al. obtained the time-varying meshing stiffness curve under the rated load through the dynamic contact simulation analysis of the model of the involute five tooth difference planetary gear reducer. Yang Guolai et al. simplified the theoretical calculation of conjugate tooth profile by deriving the tooth profile curve equation using the meshing angle function, and deduced the trapped oil characteristic equation of this type of internal gear pump. SONG et al. deduced the mathematical model of the rack milling cutter and the linear conjugate internal gear using the planetary gear meshing theory, obtained the conditions to avoid excessive cutting, and analyzed and calculated the flow characteristics of the linear conjugate internal gear pump and the traditional involute gear pump. Zheng Hongmei et al. revealed the dynamic variation law of meshing force in the process of gear internal meshing through the dynamic simulation of planetary gear reducer with small tooth difference. Zhang Lihua and others carried out a comprehensive meshing characteristic analysis of linear conjugate internal gear pairs based on internal gear pumps, mainly including tooth profile solution, coincidence calculation, radial interference, transition curve interference, and flow pulsation analysis and calculation of internal gear pumps. Huang Chao systematically analyzed the nonlinear vibration characteristics of planetary reducer system with small tooth difference and the influence of meshing stiffness, deformation and other parameters on the nonlinear vibration characteristics. BU and others have made remarkable achievements in dynamics research of planetary gear transmission, especially in modal characteristics and vibration modes.
Up to now, the linear conjugate tooth profile has been widely used in gear pumps, but there is little research on its application in planetary gears. Therefore, the meshing analysis and experimental research of the linear conjugate internal meshing planetary gear drive with small tooth difference have theoretical significance and engineering value.
The mathematical model of the internal meshing gear pair of the linear conjugate planetary gear reducer with small tooth difference is derived, and the simulation analysis and experimental research on the dynamic meshing force and vibration characteristics of the reducer are carried out.
The analysis shows that the vibration of the linear conjugate planetary gear reducer with small tooth difference is affected by the input speed and load torque, and the vibration acceleration of the reducer is positively correlated with the input speed and load torque. For the vibration acceleration of the reducer under typical working conditions, the maximum relative error between the experimental results and the simulation results is 9.21%, and the simulation results of the reducer vibration acceleration are basically consistent with the experimental test results. The experimental results verify the correctness and rationality of the simulation results, which are conducive to further structural noise analysis and optimization design, and provide an important reference for the application and promotion of linear conjugate tooth profiles in planetary gears.