Analytical determination of back-side contact force for paralleled beveloid gear

Double-sided contact is a typical phenomenon in anti-backlash gears. In the study of backlash elimination in gears, it is essential to accurately assess the contact forces on the backside. An analytical model for determining these contact forces in anti-backlash beveloid gears has been introduced, utilizing the Minimum Potential Energy Principle (MPEP). This model accounts for both axial preload and back-side contact. A novel approach has been developed to describe the meshing behavior on both the drive- and back-side, derived from an analysis of the relationship between back- and drive-side contact in beveloid gears. An investigation of the contact force distribution has been conducted, focusing on the impact of design parameters. Comparative analysis with the Finite Element Method (FEM) validates the capability of the proposed model to accurately compute the time-varying asymmetric contact forces experienced by beveloid gears under the influence of axial loading.