Ball Bearing Dynamics at the Interference fit on Balls

Interference on the rolling elements of bearings is necessary to avoid slippage at high rotation speeds or at low bearing load and exact deviation of control surfaces of the control systems of the aircraft. The aim of this work is to reveal and study the influence of interference on the rolling elements of a ball bearing for radial and axial displacements of the bearing rings. In this work was carried out a review of methods and mathematical models for calculating the bearings; performed their analysis based on which a method of calculation of the bearing was selected to conduct our research. The selected methodology takes into account many different parameters and factors, moreover, it was experimentally confirmed with sufficiently high accuracy. The calculation was performed numerically by the method of iterations. The following bearing and parameters were adopted as baseline for the research: bearing № 126126, axial load Fa = 3000 N, radial load Fr = 750...20000 N, interference δ = 0...0.03 mm, the shaft speed n = 10000 rpm. Graphs of interdependence between the radial and axial displacements of the rings and the magnitude of interference of rolling element were drawn according to the results of the calculations. Analysis of the graphical interdependency has shown that increasing interference on the balls decreases the axial and radial displacement of the bearing rings linearly. The results obtained were compared with the results of similar studies of angular contact ball bearings used in machine tool spindles. It should be noted that in these works under interference is understood the provisional value of the axial force acting in the bearings which are installed in the spindle full-length scheme. Since the works are not given data on the magnitude of interference fit on the rolling elements, to compare the results of studies is not possible. It may be noted that interdependence on the displacement of the rings and stiffness coefficients are correlated, which gives an indication of the reliability of the results. It may be noted that interdependence on the displacement of the rings and stiffness coefficients are correlated, which gives an indication of the reliability of the results.