Abstract
Spindle bearing with high rotational speed is the kernel of many rotating machines which plays massive important role in the performance of the whole machine. There are also some deficiencies of the present quasi-dynamic mathematical models of the rolling bearing in analyzing the bearing dynamic parameters. This paper develops the 3D quasi-dynamic model with ball’s 6-DOF, cage’s 6-DOF, and driving ring’s 5-DOF under steady working stage, based on the analysis of the relative position of each component to determine the normal forces between each component and the analysis of the relative velocity of the contacting point to determine the tangential force between each component. This model can analyze the dynamic parameters, such as the spin-to-roll ratio of inner and outer rings, the angular velocity of rolling elements in y-axis of the location coordinate, the normal contact force of cage pocket and ball, the cage angular velocity and ball revolution velocity, and the gyroscopic moment under different working condition. Compared with the numerical calculation results of ADORE program, the results of the proposed model are able to accurately describe the change laws of the spindle bearing parameters.
Highlights
Development of a spindle bearing system can significantly improve the efficiency and accuracy of machine tools
This paper develops the 3D quasi-dynamic model with ball’s 6-DOF, cage’s 6-DOF, and driving ring’s 5-DOF under steady working stage, based on the analysis of the relative position of each component to determine the normal forces between each component and the analysis of the relative velocity of the contacting point to determine the tangential force between each component
Many contributions for spindle bearing system were conducted based on the bearing quasi-dynamic modeling, such as Harris [4] and Yuan [5], who established the equation groups about 6 degrees of rolling elements, 3 degrees of cages, and 5 degrees of rings by dropping the hypothesis of the ring control theory and considering the oil film drags of the contacting ellipse between rolling elements and raceways with oil film lubrication
Summary
Development of a spindle bearing system can significantly improve the efficiency and accuracy of machine tools. Ren et al [7] established a new quasi-dynamic model of the counter-rotating cylindrical roller bearing based on elastohydrodynamic lubrication theory, hydrodynamic lubrication theory, and the quasidynamic analysis method to dynamic behaviors of counterrotating cylindrical roller bearing. Those researches have not considered the complete degree of freedom of the rolling bearing components which is very significant to determine their dynamic characteristics. On the base of those models, the gyroscopic moment model is established to analyze the pitching angles and yaw angles, and the cage forces and operating condition are studied by the contacting force models between the cage and the ball and guide ring. Studies show that the model is able to accurately describe the dynamic variations of the parameter characteristics of spindle bearings
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