New computational method of the ball/race contacts transverse loads of high speed ball bearings without race control hypothesis

Some hypotheses are still necessary in order to access the ball bearing Newtonian equilibrium with quasi-static methods. Among these hypotheses are the values of the transverse loads within ball/race contacts. Those loads are due to the gyroscopic torques. Nowadays, the transverse loads are estimated without any equilibrium criterion by the specialized literature. Moreover, the race control assumption is often employed in addition to the hypotheses made about the transverse loads. The paper describes a new method to compute the transverse loads without using the race control assumption. Then, a correlation between the ball bearing kinematics and the transverse loads is established. It leads to an accurate and efficient computational method to access the Newtonian equilibrium of high speed ball bearings.