Because of its unique advantages, planetary gear transmission system has been widely used in industrial and agricultural production, but its vibration and noise problems have always been the focus of attention. Therefore, the purpose of studying the dynamic characteristics of planetary gear transmission system is to let people understand the dynamic behavior of the system in the process of transmission power and motion, which is also a branch of gear system dynamics. Compared with ordinary fixed shaft gear, planetary gear transmission system has more complex structure, which makes it more difficult to study its dynamic characteristics. However, the structure of planetary gear transmission is the preferred structure of speed increaser, which makes people at home and abroad devote themselves to the study of its dynamic characteristics and accumulate a lot of research results.
In China, in 1997, Zhang Jianyun et al. Established the dynamic model of 2K-H Planetary Gear Reducer by using the lumped parameter method, and obtained the vibration response of the system by solving the vibration differential equation of the system; in 2000, Sun Tao used the Lagrange equation in his doctoral thesis to analyze the vibration response of 2K-H Planetary gear reducer The nonlinear dynamic equation of the planetary gear transmission system with multiple degrees of freedom is derived. The nonlinear factors such as backlash, error and time-varying stiffness are considered in the equation. The dynamic equation of the system is solved by harmonic balance method, and the nonlinear dynamic response of the system under certain conditions is obtained In 2005, sun Zhimin and Ji Linhong et al. Established a nonlinear dynamic model for a gap type planetary gear transmission system considering backlash and time-varying meshing stiffness, and studied the nonlinear dynamic characteristics of the system caused by errors under different parameter conditions; 2010 Based on the consideration of time-varying stiffness, backlash, comprehensive meshing error and friction force, Zhu enyong and Wu Shijing established a nonlinear dynamic model of 2K-H Planetary gear transmission system with translation torsion coupling, and analyzed the influence of tooth surface friction on the vibration response of gear system by using gill integral method; 2011 In, Wu Shijing and Liu Zhenhao established a strong nonlinear pure torsion dynamic model of planetary transmission system considering the influence of multiple factors, and analyzed the influence of time-varying stiffness, gear backlash and comprehensive error on the nonlinear dynamic characteristics of the system In, Wei Jing, sun Qingchao, etc. established a nonlinear dynamic model of the system under multi-component coupling, and solved the vibration response of the system under internal and external excitation, taking into account the influence of time-varying meshing stiffness, transmission error and impact excitation generated during tooth meshing In 1997, Huang Qilin studied the closed planetary gear transmission system in his doctoral dissertation, and deduced the relative displacement of each component in the system Based on the equation, two dynamic models of planetary gear transmission system are established, including translation torsion and pure torsion; the nonlinear factors which affect the system, such as time-varying stiffness, backlash and meshing error, are described mathematically; the mathematical model is established, the natural characteristics and frequency response characteristics are analyzed, and the influence of parameters on the vibration characteristics of the system is analyzed Some achievements have been made in 2015 In 1998, Wang Cheng established the nonlinear dynamic models of the system under the coupling of transverse torsional pendulum for the involute spur fixed shaft gear transmission and planetary gear transmission respectively, and carried out the experimental study and model validation of the vibration characteristics, and compared the numerical simulation results and the experimental results of the gear transmission system under multiple steady-state conditions; in the same year, Cheng Yanli combined the theoretical and experimental research Based on the lumped parameter method, the dynamic model of the planetary transmission system is established, and the dynamic response characteristics of the system under specific working conditions are solved, and the ADAMS software is used to solve the dynamic response characteristics of the system The results show that the simulation results of Adams and theoretical analysis have certain similarity, which clearly indicates the necessity of studying the vibration characteristics of the system.
two thousand and seventeen In 2004, Chen Fu made a nonlinear dynamic model of the multi-stage planetary gear transmission system and analyzed it accordingly. Taking into account the friction between the tooth surfaces, the time-varying meshing stiffness, the coupling effect between the box and the various stages, he established a pure torsional nonlinear dynamic model of the system, and used the numerical integration method to calculate the dynamic characteristics of the system under different friction coefficients The vibration amplitude of the system with different friction coefficients is compared, and the dimensionless nonlinear dynamic equation of planetary gear transmission system is deduced. In 2018, pan Bo and Sun Jing established the dynamic model of spur gear train, and studied the system dynamic characteristics under the influence of speed, meshing error, backlash and load.
The above research shows that there are different emphases on the research and analysis of planetary gear dynamic characteristics, and the factors that affect the system are also different, and the depth of research and analysis is different. Therefore, this paper establishes a multi degree of freedom translational torsional coupling dynamic model which is more similar to the actual system, considering the influence of various nonlinear factors on the system, so as to study as the central transmission Dynamic characteristics of planetary gear speed increasing system of moving device.