The speed reduction integrated gear integrates the transmission characteristics of non-circular gear and face gear, and can realize the variable speed ratio transmission between intersecting shafts. According to the description of the internal excitation of the reducer variable speed integrated gear, it is more difficult to analyze the dynamic characteristics of the reducer variable speed integrated gear compared with the traditional gear. Under the condition of heavy load or small clearance, the influence of the gear clearance can be ignored. Therefore, the influence of the gear backlash is not considered, and the transient center, stiffness and error of the gear are considered Based on the principle of elastic angle separation, a dimensionless dynamic model of the reducer variable speed integrated gear with no backlash is established. The influence of the complex parameters on the dynamic response of the system is analyzed by using the analytic method.
The transmission shaft and the support shaft are considered to be rigid elements in the analysis of the vibration state of the reducer variable speed integrated gear system, which is simplified as a pure torsional vibration system with two degrees of freedom. Since there is no coupling relationship between the torsional angular displacement and the transverse and axial linear displacement, the dynamic model is uncoupled. Therefore, based on the principle of elastic angle separation and considering the time-varying transient center, stiffness, damping, error and other factors, the dimensionless dynamic model of the reducer variable speed integrated gear is constructed, and the influence of system parameters on the vibration characteristics of the gear system is analyzed.