An Improved Quasi-Static Analysis Method for Angular Contact Ball Bearings Suitable for Engineering Calculations

Abstract

To enhance the applicability of quasi-static analysis in engineering fields, this paper proposes an improved quasi-static analysis
method for angular contact ball bearings based on the minimization of energy dissipation. Traditional quasi-static models typically rely on the
raceway control assumption, which artificially specifies pure rolling of balls on either the inner or outer raceway. However, this assumption
often fails to accurately describe the real phenomenon of coexisting spinning and rolling on both raceways under actual engineering operating
conditions. Addressing this issue, the ball pitch angle is treated as a free variable in this study, and the frictional power in the contact region is
minimized through one-dimensional search, enabling the acquisition of reasonable motion states without the raceway control assumption. The
7207C angular contact ball bearing is selected to analyze the inner/outer contact angles and pitch angle under different axial loads. Results
indicate that the proposed method can effectively reflect the contact angle adjustment process caused by load changes, with stable and reliable
calculation results. Featuring simple implementation and clear physical meaning, it is suitable for the rapid analysis of bearing contact characteristics in general engineering scenarios.