KINEMATICS AND STIFFNESS OF ANGULAR-CONTACT BALL BEARINGS

И. А. Зверев, Ю. М. Данильченко

Abstract


Purpose. Research of regularities of angular-contact ball bearings kinematic and elastic-deformative characteristics changing on high rotational frequencies.
Design/Methodology/Approach. Elastic-deformative model of revolving bearing based on solving of the task of functional link establishing between vector of external load on bearing, vector of relative displacements of bearing rings and vector of reaction with consideration of inertial loads influence.
Findings. Calculated and experimental results of kinematic and stiffness of spindle unit angular contact ball bearings are presented. 
Main conditions, assumed during spindle bearing elastic-deformative model development and procedure of its kinematic, elasticdeformative and power characteristic determination are presented. For practical realization of the model, special program module in MATLAB system have been developed.
Originality/value. Regularities of rotational frequency, axial preload, temperature and material of spindle bearings influence on their kinematic and elastic-deformative characteristics are established.


Keywords


spindle unit; angular-contact ball bearing; kinematic and elastic-deformative characteristics

References


Lavrov V.V., Spirin N.A. Metody planirovanija i obrabotki rezul'tatov inzhenernogo jeksperimenta: Konspekt lekcij (otdel'nye glavy iz uchebnika dlja vuzov) tehnologijah [Planning methods and results processing engineering experiment]. Ekaterinburg: GOU VPO UGTUUPI, 2004, 257 p.

Nalimov V.N., Golikova T.I. Logicheskie osnovanija planirovanija jeksperimenta [Logical grounds of planning of experiment]. Moscow: Metalurgija, 1981, 152 p.

Slavutskij L.A. Osnovy registracii dannyh i planirovanija jeksperimenta [Bases of datalogging and planning of experiment]. Cheboksary: Izdvo ChGU, 2006, 200 p.

Berezjuk O.V. Planuvannja bagatofaktornogo eksperimentu dlja doslіdzhennja vіbracіjnogo gіdroprivodu ushhіl'nennja tverdih pobutovih vіdhodіv. Vіbracії v tehnіcі ta tehnologіjah., 2009, no, 55 pp. 92-97.

Levshina E.S., Novickij P.V. Jelektricheskie izmerenija fizicheskih velichin: (Izmeritel'nye preobrazovateli). Ucheb. posobie dlja vuzov [Electric measurings of physical sizes: (Measurings transformers).]. Leningrad: Jenergoatomizdat. Leningrad. otd-nie, 1983, 320 p.

Novickij P.V., Zograf I.A. Ocenka pogreshnostej rezul'tatov izmerenij [Estimate of errors of results of measurings]. Leningrad: Jenergoatomizdat, 1985, 114 p.


GOST Style Citations


1. Проектирование металлорежущих станков и станочных систем: Справочник-учебник. В 3-х т. Т.2. Ч.1. / Под общ. Ред. А.С.Проникова. – М.: Машиностроение, 1995. – 371 с.

2. Hirano F., 1965, Motion of a ball in angular contact ball bearings, ASME Transactions, Journal of MSE, 109(8), pp. 425-434.

3. Kingsbury E., 1985, First order ball-bearing kinematics, ASME Transactions, Journal of MSE, 28 (2), pp. 22-27.

4. Jones A., 1960, A General Theory of Elastically Constrained Ball and Radial Roller Bearings under Arbitrary Load and Speed Conditions, ASME Transactions, Journal of MSE, 82 (3), pp. 309-320.

5. Harris T., 1991, Rolling Bearing Analysis, 3-rd Edition, John Wiley & Sons Inc.

6. Weck M. and Tullmann U., 1999, Kinematics of Spindle Bearings with Rigid and Spring Preload, Transactions of the 2-nd International Conference on High Speed Machining, Germany, Darmstadt Technical Univ. Press, pp. 85-92.

7. Пуш А.В., Зверев И.А. Шпиндельные узлы: качество и надежность при проектировании, М.: СТАНКИН, 132с., 2000.





DOI: http://dx.doi.org/10.20535/2305-9001.2013.69.28709

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