A novel method of modelling contact dynamics for spur gear transmission

Taking a pair of spur gears as the research object, a contact dynamic model of the spur gear system was established based on the theories of contact mechanics and multi-body dynamics. The characteristics of the model are such that it can describe the dynamic contact behavior of a gear pairs, the meshing action of gear pairs no longer depends on the stiffness model of single and double teeth undergoing alternating meshing, and the model can be visualized in real time. In the process of modelling, firstly, the mathematical model of spur gear is established. The spur gear dynamic model is then built. Finally, the vibration responses obtained by the three methods (the propose method, the lumped parameter method and the experimental method) are compared. It is found that the proposed method is more consistent with the experimental method than the traditional lumped parameter method, which verifies the validity of the contact dynamic model of spur gear transmission. The proposed model and research results lay the foundation for research fields such as performance analysis, design optimization and fault diagnosis of gear systems.