Time-Varying Meshing Stiffness Analysis of Point Contact Gear with Circular-Arc Curve Configuration based on Finite Element Method

In this paper, the time-varying meshing stiffness analysis and calculation of the new point contact gear with circular-arc curve configuration were carried out. Based on the basic meshing principle of spatial curves, tooth surface equations of point contact gear with circular-arc curve configuration were derived. The three-dimensional models of meshing gear pair were established in terms of the given design parameters. According to the time-varying meshing stiffness calculation formula, the ABAQUS software was used to extract the results of the comprehensive elastic deformations and contact forces of tooth surfaces. Furthermore, the single tooth and the comprehensive meshing stiffness of point contact gear with circular-arc curve configuration were calculated and the time-varying meshing stiffness curves of the gear were also drawn. Finally, the variation of the comprehensive elastic deformation and time-varying meshing stiffness under different tooth widths and loads were analyzed. The results show that the single tooth and the comprehensive meshing stiffness will increase when the tooth width and the loads increase. The conclusions provide important theoretical support for the dynamic characteristics and performance analysis of the point contact gear with circular-arc curve configuration.