Quick Calculation Method and Contact Angle Analysis for High-Speed Angular Contact Ball Bearing under Combined Loads

Large number of nonlinear equations in the existing ball bearing models lead to a lower calculation efficiency. Following Jones-Harris model, the contact angels of ball bearing are chosen as the iterative variables, and the partial equilibrium equations of balls are further deduced and simplified, which facilitates decreasing the number of nonlinear equations to significantly reduce the computing task. The contact angle is taken as the most important dynamic parameter of high-speed angular contact ball bearings, and the influencing rules of various factors on it are analyzed. The results show that the new model has high computing efficiency, and the uneven distribution of contact angle due to radial load can be eliminated by applying an appropriate moment.