# Research prospect of Spur Planetary Gear Transmission System

Based on the dynamic theory, the planetary gear speed increasing system and the rotor system with contact seal are analyzed comprehensively and deeply by combining theory with simulation analysis and the research idea of part first and then whole. The multi degree of freedom equivalent of the system under the influence of multiple factors is established Then, the dynamic differential equation of the sealed rotor system considering the gear meshing characteristics is deduced. The dynamic differential equation of the system is solved by using the numerical integration method and MATLAB programming software, and the dynamic response of the rotor under different working conditions is obtained. Finally, the theoretical analysis model is verified by ADAMS simulation analysis software.

(1) For the planetary gear speed increaser as a transmission device, the main factors affecting the dynamic characteristics of the system are analyzed. The relevant parameters and nonlinear factors of the spur gear transmission system are sorted out. The mathematical expressions of the nonlinear factors such as time-varying meshing stiffness, backlash and meshing error are given. On this basis, the centralized parameter method is adopted The dynamic model of translational torsional coupling of Spur Planetary gear transmission system with multiple degrees of freedom is established. The relative displacement and stress of each component are analyzed. The differential equation of translational torsional coupling dynamics of the system considering the influence of multiple factors is deduced.

(2) For the rotor system as a load, the specific structure and the influence relationship of parts and components are also considered. The interaction between contact seal and rotor is mainly considered, and the model is simplified as mass spring damping model. On this basis, Jeffcott is established The dynamic differential equation is derived.

(3) For the sealed rotor system considering gear meshing characteristics, based on the independent analysis of planetary gear speed increasing system and rotor system in chapter two and chapter three, the two parts are integrated and the system diagram is given. The dynamic model of a sealed rotor system considering the meshing characteristics of gears is established by using the lumped parameter method. By using the numerical integration method and MATLAB software, the dynamic equations of the system are solved, and the dynamic response characteristics of the rotor under different working conditions are obtained.

(4) The sealing rotor system considering gear meshing characteristics is simulated and analyzed by Adams for experimental study. The dynamic characteristics of the three-dimensional model of the system under different working conditions are simulated and analyzed, and the results obtained are compared with the results of theoretical analysis, and the comparison results and correlation analysis are given; through the test, the time-domain diagram of vibration acceleration of the system at different speeds is obtained, and the correlation spectrum is obtained by using the relevant data processing method and Fourier transform The related vibration characteristics of the system are analyzed. The rationality of the theoretical model is verified by comparing the simulation results with the experimental results.

The theoretical analysis, simulation and experimental verification of a sealed rotor system considering gear meshing characteristics are carried out. It is proved that the theoretical model established in this paper can provide reference for further study of the dynamic characteristics of such systems, and can also provide theoretical support for the design of sealing structures. 