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Modeling and Analysis of Spindle with Active Magnetic Bearings for High-Speed Milling Process

Published online by Cambridge University Press:  14 December 2015

M. Barkallah ,
A. Bouaziz ,
S. Bouaziz ,
J.-Y. Choley  and
M. Haddar
M. Barkallah
Affiliation:
Laboratory of Mechanical Modeling and Production (LA2MP)National School of Engineers of Sfax (ENIS)University of SfaxSfax, Tunisia
A. Bouaziz
Affiliation:
Laboratory of Mechanical Modeling and Production (LA2MP)National School of Engineers of Sfax (ENIS)University of SfaxSfax, Tunisia
S. Bouaziz*
Affiliation:
Laboratory of Mechanical Modeling and Production (LA2MP)National School of Engineers of Sfax (ENIS)University of SfaxSfax, Tunisia
J.-Y. Choley
Affiliation:
Laboratory of Engineering in Mechanical Systems and MaterialsSUPMECASaint-Ouen, France
M. Haddar
Affiliation:
Laboratory of Mechanical Modeling and Production (LA2MP)National School of Engineers of Sfax (ENIS)University of SfaxSfax, Tunisia
*
*Corresponding author ([email protected])
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Abstract

The high speed milling represents the most important process to produce parts in different fields such as aeronautics, automotive and mould. It allows obtaining parts with complex form and with the best surface quality. So, it remains essential to understand the impact of both the cutting force model and its parameters on the tool tip response. Consequently, the mastering of chatter vibration in milling and surface properties of the work piece is essential. In this paper, the simulation of machining is applied to determine the cutting forces distribution. A spindle system modeling is presented using a new approach: Both rigid and flexible modes of the spindle's shaft are taken into account. The shaft is discretized with the Timoshenko beam finite elements with different circular sections. Nonlinear electromagnetic loads exerted by AMBs are computed in terms of the nominal air gap between bearings and spindle, the control current and the displacement of each node. A parametric study is performed to determine the influence of some parameters, such as the feed rate, the tangential cutting coefficient, the spindle speed and the axial depth of the cut on the cutting forces and the chatter vibrations in milling.

Keywords

SpindleCutting forceChip thicknessDepth.
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 2 , April 2016 , pp. 131 - 141
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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References

1.Bleuler, H., et al., Magnetic Bearings, Theory, Design, and Application to Rotating Machinery,, Springer-Verlag, Berlin Heidelberg (2009).Google Scholar
2.Chiba, A., et al, Magnetic Bearings and Bearingless Drives,, Elsevier, Linace House, Jordan Hill, Oxford, Burlington (2005).Google Scholar
3.Tsai, N. C. and Lee, R. M, “Regulation of Spindle Position by Magnetic Actuator Array,” International Journal of Advanced Manufacturing Technology, 53, pp. 93–104 (2011).Google Scholar
4.Knospe, C., “Active Magnetic Bearings for Machining Applications,” Control Engineering Practice, 15, pp. 307–313(2007).CrossRefGoogle Scholar
5.Bouaziz, S., Belhadj Messaoud, N., Mataar, M., Fakhfakh, T. and Haddar, M., “A Theoretical Model for Analyzing the Dynamic Behaviour of Spatial Misaligned Rotor with Active Magnetic Bearings,” Mechatronics, 21, pp. 899–907 (2011).CrossRefGoogle Scholar
6.Belhadj Messaoud, N., Bouaziz, S., Maatar, M., Fakhfakh, T.and Haddar, M., “Dynamic Behaviour of Active Magnetic Bearing in Presence of Angular Misalignement Deffect,” International Journal of Applied Mechanics, 3, pp. 1–15 (2011).Google Scholar
7.Kimman, M. H., Langen, H. H. and Munning Schmidt, R. H., “A Miniature Milling Spindle with Active Magnetic Bearings,” Mechatronics, 20, pp. 224–235 (2010).Google Scholar
8.Auchet, S., Chevrier, P., Lacour, M. and Lipinski, P., “A New Method of Cutting Force Measurement Based on Command Voltages of Active Electro-Magnetic Bearings,” International Journal of Machine Tools and Manufacture, 44, pp. 1441–1449 (2004).Google Scholar
9.Lai, W.-H., “Modeling of Cutting Forces in End Milling Operations,” Tamkang Journal of Science and Engineering, 3, pp. 15–22 (2000).Google Scholar
10.Tugrul, O. and Taylan, A., “Process Simulation Using Finite Element Method-Prediction of Cutting Forces, Tool Stresses and Temperatures in High Speed Flat End Milling,” International Journal of Machine Tools & Manufacture, 40, pp. 713–738 (2000).Google Scholar
11.Lacerda, H. B. and Lima, V. T, “Evaluation of Cutting Forces and Prediction of Chatter Vibrations in Milling,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, 26, pp 74–84 (2004).Google Scholar
12.Kang, I. S., Kim, J. S., Kim, J. H., Kang, M. C. and Seo, Y W., “A Mechanistic Model of Cutting Force in the Micro End Milling Process,” Journal of Materials Processing Technology, 187-188, pp. 250–255 (2007).Google Scholar
13.Faassen, R. P. H., Van de Wouw, N. J., Oosterling, A. J. and Nijmeijer, H., “Prediction of Regenerative Chatter by Modelling and Analysis of High-Speed Milling,” International Journal of Machine Tools & Manufacture, 43, pp. 1437–1446 (2003).Google Scholar
14.Thevenot, V., Arnaud, L., Dessein, G. and Cazenave-Larroche, G., “Influence of Material Removal on Dynamic Behavior of Thin Walled Structure in Peripheral Milling,” Machining Science and Technology, 10, pp. 275–287 (2006).CrossRefGoogle Scholar
15.Campa, F. J., et al., “Critical Thickness and Dynamic Stiffness for Chatter Avoidance in Thin Floors Milling,” Advanced Materials Research, 188, pp. 116–121 (2011).Google Scholar
16.Duncan, G. S., Tummond, M. F. and Schmitz, T.L, “An Investigation of the Dynamic Absorber Effect in High-Speed Machining,” International Journal of Machine Tools and Manufacture, 45, pp. 497–507 (2005).CrossRefGoogle Scholar
17.Budak, E., “An Analytical Design Method for Milling Cutters with Nonconstant Pitch to Increase Stability, Part I: Theory,” Transactions of the ASME, Journal of Manufacturing Science and Engineering, 125, pp. 29–34 (2003).CrossRefGoogle Scholar
18.Sims, M. D., Mann, B. P. and Huyanan, S., “Analytical Prediction of Chatter Stability for Variable Pitch and Variable Helix Milling Tools,” Journal of Sound and Vibration, 317, pp. 664–686 (2008).CrossRefGoogle Scholar
19.Gourc, E., Seguy, S. and Arnaud, L., “Chatter Milling Modeling of Active Magnetic Bearing Spindle in High-Speed Domain,” International Journal of Machine Tools & Manufacture, 51, pp. 928–936 (2011).CrossRefGoogle Scholar
20.Gagnol, V., Le, T. P. and Ray, P., “Modal Identification of Spindle-Tool Unit in High-Speed Machining,“ Mechanical Systems and Signal Processing, 25, pp. 2388-239(2011)CrossRefGoogle Scholar
21.Cao, H., Li, B. and He, Z., “Chatter Stability of Milling with Speed-Varying Dynamics of Spindles,“ International Journal of Machine Tools and Manufacture, 52, pp. 50–58 (2012).CrossRefGoogle Scholar
22.Movahhedy, M. R. and Mosaddegh, P., “Prediction of Chatter in High Speed Milling Including Gyroscopic Effect,” International Journal of Machine Tools and Manufacture, 52, pp. 50–58 (2012).Google Scholar
23.Zhang, W. and Jean, W. Z., “Transient and Steady Nonlinear Responses for a Rotor-Active Magnetic Bearings System with Time-Varying Stiffness,“ Chaos, Solitons and Fractals, 38, pp. 1152–1167 (2008).Google Scholar
24.Amer, Y. A. and Hegasy, U. H., “Resonance Behavior of a Rotor-Active Magnetic Bearing with Time-Varying Stiffness,” Chaos, Solitons and Fractals, 34, pp. 1328–1345 (2007).Google Scholar
25.Dornfeld, D., Min, S. and Takeuchi, Y., “Recent Advances in Mechanical Micromachining,” CIRP Annals — Manufacturing Technology,, 55, pp. 745–768 (2006).Google Scholar
26.Vogler, M., Liu, X., Kapoor, S., Devor, R. and Ehmann, K., “Development of Mesoscale Machine Tool (Mmt) Systems,” Transactions of NAMRI/SME, pp. 1–9 (2002).Google Scholar