of Raceway Control Theory on the Dynamic Equations Group of High-speed Ball Bearing
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    Abstract:

    Based on the analysis of ratio of revolution and rolling on high-speed ball bearing, the shortage of raceway control theory was put forward. Then a precise relationship between inner and outer raceway control parameter was established according to the equilibration of frictional force and gyro moment on rolling ball. The semi-empirical formula about friction factor between rolling element and raceway was introduced into the calculation process. To avoid the shortage of raceway control theory, the attitude angle of rolling ball decided by raceway control theory is substituted by the one obtained from the analysis of D’ Alembert principle. So the friction factor and attitude angle of rolling ball are depended on normal load of rolling ball, and then an accurate form was provided and make sure it could be solved with dynamic equations group of high-speed ball bearing. At last, an example was given to compare the results from body matter with the ones from existing method, and indicates that the method of body is accurate and more closing to the practice.

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