Research on nonlinear characteristics of herringbone planetary gear transmission system considering double-sided meshing impact

Aiming at the problem of the increase of vibration and noise caused by the double-sided meshing impact of herringbone gears. A dynamic model of double-sided meshing impact is established in consideration of the gear error, meshing phase, time-varying mesh stiffness (TVMS), time-varying damping and backlash in the herringbone planetary gear transmission system (HPGTS). The double-sided meshing process and mechanism of the herringbone gear are studied. The effects of excitation frequency and backlash on nonlinear characteristics of the HPGTS are analyzed by phase trajectories, Poincaré sections, the largest Lyapunov exponent (TLE) spectrum and bifurcation diagrams. The results indicate that the variation of excitation frequency will directly change the mesh state of the herringbone planetary gears. Within the excitation frequency range of the value, the system will experience the alternating variation of periodic motion and chaotic motion with the increase of excitation frequency. The phenomenon of the back-side meshing will gradually disappear as the excitation frequency increases to a certain value, and the drive-side meshing state will become stable. The transmission system will gradually transition to chaotic motion with increased backlash. Reducing the backlash while ensuring that the efficiency of the transmission can decrease the vibration and noise caused by the double-sided meshing impact of the system. The research results provide a theoretical reference for the stable operation of the system under double-side impact.