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MATHEMATICAL MODEL FOR STIFFNESS DETERMINATION OF BALL BEARINGS WITH ANGULAR CONTACT

Author(s):
1. Aleksandar Živković, Faculty of Technical Sciences, Department for Production Engineering, Serbia
2. Milan Zeljković, Faculty of Technical Sciences, Department for Production Engineering, Serbia
3. Cvijetin Mlađenović, Fakultet tehničkih nauka Univerziteta u Novom Sadu, Serbia


Abstract:
This paper presents analytical mathematical model for determination of the axial stiffness of ball bearings with angular contact. The first part of paper presents a model that consider the changes in stiffness, while not taking into account the effecsts of the inertial forces. Second part of the paper presents a model based on John-Harris's quasistatic equilibrium equations and Hertz's contact theory. This model takes into account the inertial forces, non-stationary changes of contact load, angle of contact and bearing stiffness depending on the position of rolling bodies and axial load. Finally the developed models are compared with the Palmgren's model and numerical bearing model defined by finite element method. Based on a comprehensive analysis of the results it was concluded that at lower RPM the inertial forces do not have a significant impact on the axial stiffness, while at higher RPM has a significant effect on the axial stiffness.

Key words:
Ball bearing, Bearing stiffness, Mathematical model, Static analysis

Date of abstract submission:
11.05.2015.

Conference:
12th International conference on accomplishments in Electrical and Mechanical Engineering and Information Technology (DEMI 2015)

Final paper

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