Dynamic characteristics of helical gear transmission

At present, foreign researchers gradually realize that the influence of gear friction on the dynamic characteristics of transmission can not be ignored, and it is one of the sources of vibration and noise. This paper mainly studies the dynamic characteristics of the main factors affecting the vibration and noise of helical gears when considering the tooth surface friction. Firstly, the numerical calculation method of time-varying contact line of helical gear multi tooth meshing is derived theoretically, and on this basis, the numerical calculation method of helical gear tooth surface friction and friction torque is constructed considering the friction effect of helical gear under mixed elastohydrodynamic lubrication; The influence of tooth friction on the meshing deformation and time-varying meshing stiffness of helical gears is analyzed; The resonance characteristics of helical gear transmission are analyzed considering the tooth friction; Finally, the dynamic equation of helical gear with tooth surface friction is constructed, and the influence of transmission error, pitch error and pitch deviation on the dynamic characteristics of helical gear transmission is analyzed. This study can provide theoretical reference for the parameter design, gear modification and gear processing technology of helical gear, and achieve the vibration and noise reduction of helical gear transmission.

  1. according to the gear meshing principle, the numerical algorithm of time-varying contact line of helical gear multi tooth meshing is derived, the correctness of the algorithm is verified, and the change law of time-varying contact line is analyzed. On this basis, considering the friction influence of helical gear under mixed elastohydrodynamic lubrication, the algorithm of helical gear tooth surface friction force and friction torque is constructed, and the change law of tooth surface friction force and friction torque is analyzed, which lays a foundation for subsequent theoretical analysis and engineering application.
  2. analyze the load distribution law on the time-varying contact line of the helical gear, on this basis, analyze the influence of the tooth surface friction on the meshing deformation of the helical gear, and calculate the time-varying meshing stiffness of the helical gear considering the tooth surface friction. Considering the tooth friction, the bending torsion shaft coupling dynamic equation of helical gear transmission is constructed. The influence of time-varying meshing stiffness of helical gear on the vibration displacement of driving and driven gears is given by solving the dynamic equation.
  3. analyze the influence law of tooth friction on the resonance of helical gear transmission, and give the influence law of tooth friction on the harmonic resonance response of dominant frequency, second-order overfrequency and 1/2-order subfrequency. The effects of dynamic load, static load and damping on the frequency response of helical gear transmission are analyzed.
  4. based on the overall gear error and tooth surface friction, the dynamic equation of helical gear is constructed, and the variation laws of the maximum transmission error, the maximum meshing force and the maximum meshing acceleration of helical gear are given, as well as the influence of torque and damping on the transmission error. Finally, in the meshing impact model caused by transmission error, the meshing deformation caused by tooth surface friction is considered, and the influence of base pitch error and tooth pitch deviation on the vibration and noise of helical gear is given, which provides a theoretical basis for subsequent helical gear modification and vibration and noise reduction.
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