ARTICLE
An extended contact model of the angular bearing
Jan Kosmol 1  
 
 
More details
Hide details
1
Silesian University of Technology, Gliwice, Poland
Publish date: 2019-01-20
Submission date: 2017-05-16
Acceptance date: 2018-06-30
 
Journal of Theoretical and Applied Mechanics 2019;57(1):59–72
KEYWORDS
ABSTRACT
The article presents a new contact model of an angular bearing, called the extended model. The model takes account of the effects of centrifugal load caused by thr rotating ring of the bearing and the issue of elasticity. Present models, encountered in literature and referred to in the article as classical, consider the centrifugal force caused by the rotating ball only. Results of analytical research on the extended model and of FEM simulation show explicitly that the contact angles of bearings, and thus contact loads, differ very much from those values obtained in the classical model. These differences are disadvantageous for designing bearing assemblies, since contact loads are greater than those obtained in the classical model. This means, among others, that the present structures with angular contact bearings are in reality subject to greater loads than the constructor has envisaged. The motto of the article is to design analytical calculation models in such a form which would enable the constructor to estimate contact loads, just using a standard scientific calculator or MS Excel type applications; so that there would be no need for solving complex models using numerical methods.
 
REFERENCES (17)
1.
Abele E., Altintas Y., Brecher C., 2010, Machine tool spindle units, CIRP Annals – Manufacturing Technology, 59, 781-802.
 
2.
Alfares M.A., Elsharkawy A., 2003, Effects of axial preloading of angular contact ball bearings on the dynamics of a grinding machine spindle system, Journal of Materials Processing Technology, 136, 48-59.
 
3.
Altintas Y., Cao Y., 2005, Virtual design and optimization on machine tool spindles, Annals of the CIRP, 54, 1, 379-382.
 
4.
Antoine F., Abba G., Molinari A., 2005, A new proposal for explicit angle calculation in angular contact ball bearing, Journal of Mechanical Design, 128, 2, 468-478.
 
5.
Cao Y., Altintas Y., 2007, Modelling of spindle-bearing and machine tool systems for virtual simulation of milling operations, International Journal of Machine Tools and Manufacture, 47, 1342-1350.
 
6.
Chen J.-S., Hwang Y.-W., 2006, Centrifugal force induced dynamics of motorized high-speed spindle, International Journal of Machine Tools and Manufacture, 30, 10-19.
 
7.
Chojnacki M., 2016, Experimental research of motion resistance in angular bearings (in Polish), M.Sc. Thesis, Silesian University of Technology, Gliwice.
 
8.
Harris T., Kotzalas M., 2013, Essential Concepts of Bearing Technology. Rolling Bearing Analysis, 5th Ed., Taylor & Francis Group, London.
 
9.
Jędrzejewski J., Kwaśny W., 2010, Modelling of angular contact ball bearings and axial displacements for high-speed spindles, CIRP Annals-Manufacturing Technology, 59, 377-383.
 
10.
Jiang S., Mao H., 2010, Investigation of variable optimum preload for machine tool spindle, International Journal of Machine Tools and Manufacture, 50, 19-28.
 
11.
Kosmol J., 2016, Determination of Motion Resistances in High-Speed Spindle Angular Bearings, Monograph, Silesian University of Technology Publisher, Gliwice.
 
12.
Kosmol J., Gatys R., 2016, Simulation research of the influence of rotational speed on contact loads in angular bearings (in Polish), Inżynieria Maszyn, 21, 1, 32-45.
 
13.
Musiał J., Styp-Rekowski M., 1999, Analytical and experimental method of determination of the coefficient of motion resistance in rolling friction (in Polish), Proceedings of Conference “Problems of Unconventional Bearing Configuration”, Łódź, 59-65.
 
14.
Muszyński M., 2017, Experimental research of motion resistance in angular bearings (in Polish), M.Sc. Thesis, Silesian University of Technology, Gliwice.
 
15.
Noel D., Rithou M., Furet B., Leloch S., 2013, Complete analytical expression of the stiffness matrix of angular contact ball bearing, Journal of Tribology, 135, 4.
 
16.
Palmgren A., 1951, Rolling Bearings (in Polish), PWT, Warszawa, 235.
 
17.
Styp-Rekowski M., 1999, Problems of the Internal Resistance of Motion in an Angle Bearing (in Polish), University Press of Technology and Agriculture Academy in Bydgoszcz, Thesis, 99, Bydgoszcz.
 
eISSN:2543-6309
ISSN:1429-2955