Browse > Article

An Elastic Deformation Model of High-speed Spindle Units  

Zverev Igor Aexeevich (Department of Machine Tools, Moscow State University of Technology (STANKIN))
Eun In-Ung (Department of Die and Mold Design, Kyonggi Institute of Technology, Siheung)
Hwang Young-Kug (Graduate School of Mechanical Design and Manufacturing, Changwon National University)
Chung Won-Jee (Department of Mechanical Design and Manufacturing, Changwon National University)
Lee Choon-Man (Department of Mechanical Design and Manufacturing, Changwon National University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.7, no.3, 2006 , pp. 39-46 More about this Journal
Abstract
This paper presents an elastic deformation model of a spindle unit (S/U), which takes into account the non-linear properties of high-speed ball bearings (particularly the effect of high rotational speed). For this, a software for the estimation of the S/U elastic deformation properties was developed and intended for use by S/U designers. A computer aided analysis of the model using the developed software was carried out and experiments showed the significant effect of rotational speed, cutting load and bearing axial preload, and showed some new phenomena, from which the criteria for the choice of bearing axial preload is given.
Keywords
High-speed spindle; Ball bearing; Elastic deformation model;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Harris, T. A., 'Rolling Bearing Analysis, 3-rd Edition,' John Wiley & Sons Inc., 1991
2 Lundberg, G., and Palmgren, A., 'Dynamic Capacity of Rolling Bearings,' Acta Politechnica, Mechanical Engineering Series, Vol. 2, No.4, pp. 50-52, 1952
3 Ortega, J. M. and Rheinboldt, W. C., 'Iterative Solution of Nonlinear Equations in Several Variables,' Academic Press, NewYork, 1990
4 Juravlev, V. F. and Balmont, V. B., 'Mechanics of ball bearings of gyroscopes (in Russian),' Mashinostroenie Edition, Moscow, 1985
5 Sata, T. and Takashima, N., 'Dynamic analysis of machine tool structures by the finite element method,' Ann. CIRP, Vol. 21, No.2, pp. 183-191, 1972
6 Forsythe, G., Malcolm, M. and Moler, C., 'Computer Methods for Mathematical Computations,' Prentice-Hall, Englewood Cliffs, New Jersy, 1997
7 Nakamura, S. and Kakino, Y, 'Analysis on preload increment and displacement of a rotating high speed spindle,' Journal of the Japan Society of Precision Engineering, Vol. 58, No. 12, pp. 2019-2024, 1992   DOI
8 Golub, G. H. and VanLoan, C. F., 'Matrix Computations,' John Hopkins Univ. Press, Baltimore, 1983
9 Chatterjee, S., 'Spindle deflection in high-speed machine tools: Modeling and Simulation,' International Journal of Advanced Manufacturing Technology, Vol. 11, No.4, pp. 232-239, 1996   DOI
10 Kingsbury, E., 'First order ball-bearing kinematics,' Journal of ASME, Vol. 28, No.2, pp. 22-27, 1985
11 Segerlind, L. J., 'Applied Finite Element Analysis,' John Wiley & Sons Inc., 1996
12 Hirano, F., 'Motion of a ball in angular contact ball bearings,' Transactions ASME, Journal of MSE, Vol. 109, No.8, pp. 425-434, 1965
13 Lasey, C. L., 'High speed bearings for CNC machine tool spindles,' Journal of CME, Vol. 4, pp. 51-56, 1983
14 Zverev, I. A and Push, A V, 'Spindle Units: Quality and Reliability at Designing (in Russian),' Moscow State Technology Univ. Press, 2000
15 Jones, A. B., 'A General Theory of Elastically Constrained Ball and Radial Roller Bearings under Arbitrary Load and Speed Conditions,' Transactions ASME, Journal of MSE, Vol. 82, No.3, pp. 309-320, 1960