Model of Rotation Accuracy of High-Speed Spindles on Ball Bearings
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Abstract
For the purpose to improve a design quality of high-speed spindle units, we have developed mathematical models and software to simulate a rotation accuracy of spindles running on ball bearings. In order to better understand the mechanics of ball bearings, the dynamic interaction of ball bearings and spindle unit, and the influence of the bearing imperfections on the spindle rotation accuracy, we have carried out computer aided analysis and experimental studies. When doing this, we have found that the spindle rotation accuracy can vary drastically with rotational speed. The influence of bearing preload has a secondary importance. Comparison of the results of these studies has demonstrated adequacy of the models developed to the real spindle units.
- I. A. Zverv and A.V. Push, “Spindle Units: Quality and Reliability in Designing,” Moscow State University of Technology Press, 2000.
- V. B. Balmont and I. A. Zverev, “Spectrum of Vibration Caused by Non-ideal Ball Bearings,” Journal of Vibration Engineering, Vol. 5, No. 3, 1992, pp. 149-157.
- A. Tamura, “Vibration Caused by Ball Diameter Differ-ence in A Ball Bearing,” Bulletin of the Japan Society of Mechanical Engineers, Vol. 11, No.44, 1968, pp. 229- 234.
- A. Tamura and H. Shimizu, “Vibration of Rotor Based on Ball Bearings,” Bulletin of the Japan Society of Mechanical Engineers, Vol. 10, No. 41, 1967, pp. 763-775.
- V. Venkatraman, “Analysis of Spindle Running Accu-racy,” Journal of Machinery and Production Engineering, Vol. 126, No. 3245, 1975, pp. 146-150.
- L. J. Segerlind, “Applied Finite Element Analysis,” John Wiley & Sons Inc, N-Y/London/Sydney/Toronto, 1976.
- V. F. Juravlev and V. B. Balmont, “Mechanics of Ball Bearings of Gyroscopes,” Mashinostroenie, Moscow, Russia, 1989.
- E. I. Pozdnyak, “Vibration of Rotor Caused by Rolling Bearings,” Journal of Machinery Manufacture and Reli-ability (Russian Academy of Sciences, Allerton Press Inc.), Vol. 15, No. 5, 1986, pp. 17-23.
- J. M. Danilchenko, “Experimental Study of Rotation Accuracy of Spindles Running on Rolling Bearings,” Ph.D. thesis, Moscow Research Institute of Machine Tools, Russia, 1996.
- K. Mitsui, “Development of a New Measuring Method for Spindle Rotation Accuracy by Three Points Method,” Transactions of International, Middle Tennessee Dirt Riders Conference, Manchester, 1992, pp. 115-121.
- L. Hongqi and C. S. Yung, “Analysis of Bearing Con-figuration Effects on High Speed Spindles Using an Inte-grated Dynamic Thermo Mechanical Spindle Model,” International Journal of Machine Tools and Manufacture, Vol. 44, 2004, pp. 347-364.
- S. C. Jeng and W. C. Kwan, “Bearing Load Analysis and Control of Motorized High Speed Spindle,” International Journal of Machine Tools and Manufacture, Vol. 45, No. 12-13, 2005, pp. 1487-1493.
- K. H. Young and M. L. Choon, “Development of Auto-matic Variable Preload Device for Spindle Bearing by Using Centrifugal Force,” International Journal of Ma-chine Tools and Manufacture, Vol. 49, No. 10, 2009, pp. 781-787.