In foreign countries, in 1999, Jian Lin and Parker R G analyzed the inherent characteristics and free vibration characteristics of planetary gear transmission system; in 2001, Kahraman A thinks that when the number of degrees of freedom in the system is small, the pure torsion dynamic model can be established, which is more suitable and convenient in solving and analyzing the dynamic characteristics of the system. Based on the pure torsion model established, the author analyzes the natural vibration characteristics of the components in the planetary gear transmission system.
In 2002, Lin J and Parker R G simplified the time-varying meshing stiffness into rectangular waves in their dynamic model of planetary gear transmission system, and analyzed the system response under the influence of different parameters; in 2007, Al shyyab a et al. Established the dynamic model of pure torsion spur gear planetary gear transmission system, and solved the dynamic response of the system based on the model; 2011 Based on the dynamic model of the system, bahk CJ et al. Solved a series of nonlinear vibration characteristics caused by parametric excitation.
In 2013, Gu X and velex P introduced the eccentric error into the planetary gear model, and solved the motion equation of the system with various methods. The results show that the error of gear eccentricity will have a great impact on the dynamic characteristics of the system; in the same year, Ericson t m, Parker R G explored the dynamic characteristics of planetary gear transmission system through experiments, and analyzed the natural characteristics of the transmission system based on the centralized parameter method and finite element method, obtained the natural frequency of the transmission system and the vibration mode corresponding to each order frequency, and compared the theoretical and experimental data; in 2014, Guo y, Keller In the lumped parameter model, gravity, time-varying stiffness and radial clearance of bearing are taken into account, and the results are compared with the experimental data.
Hammami, 2016 Considering the influence of variable load on the system stability of planetary gear transmission, a et al. Established the dynamic model of the system based on the contact theory, and solved the equation by numerical method. The results were compared with the experimental results Compared with the test results, the consistency of the results is verified.