Collision dynamics of gear meshing with multi-clearance and multi-state under friction consideration

The gear acts as the most important transmission, and it has played a vital role in various fields in the industry. The clearance is inevitable in the gear transmission, which is an important factor in the meshing force and vibration characteristics of the gear in the engagement process. The gear collision kinetics model containing friction-containing multi-gap, multi-state meshing is established according to the clearance and the change of the collision force. The paper uses finite element method and Fourier grade numerical calculation and fitting meshing stiffness. At the same time, the dynamic equations of the gear system with friction in the tooth forward-meshing state, tooth snapping-meshing state, and tooth back-meshing state are derived. The introduction of nonlinear collision contact theory describes the rigidity and damping coefficients of bearings and gears during collision. The effects of different parameters on dynamic meshing force, vibration characteristics, and system stability are studied and analyzed. The study found that the gear meshing stability was greatly disturbed by the backlash and bearing clearance variation. In the alternating process of meshing state, the change of external load not only affects the amplitude in the meshing process of the system, but also leads to the meshing force mutation. The change of friction coefficient has a greater impact on dynamic meshing force. Different impact damping coefficients have a great influence on the gear vibration and meshing force. It is emphasized that the change of impact damping between teeth and bearing has the opposite effect on the system.

Automated summary

This paper investigates the effects of backlash and collision force variation on gear transmission systems. By establishing a gear collision kinetics model and using finite element method and Fourier grade numerical calculation, the study analyzes the impacts of different parameters on dynamic meshing force, vibration characteristics, and system stability.