Stability of up-milling and down-milling, Part 1: Alternative analytical methods

International Journal of Machine Tools and Manufacture

Volumn 43, Issue 1, 2003, Pages 25-34

  Insperger, T ^a   Mann, B P ^b   Stepan G ^a   Bayly, P V ^b  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

High speed milling; Regenerative effect; Tooth pass excitation

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; MACHINE TOOLS; MATHEMATICAL MODELS;

TOOTH PASS EXCITATION;

COMMINUTION;

EID: 0037210549     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0890-6955(02)00159-1     Document Type: Article

References (36)

1. Tlusty J. Manufacturing Processes and Equipment. 2000;Prentice Hall, New Yersey.
2. Taylor F.W. On the art of cutting metals. Transactions of ASME. 28:1907;31-350.
3. Tlusty J., Polacek A., Danek C., Spacek J. Selbsterregte Schwingungen an Werkzeug-maschinen. 1962;VEB Verlag Technik, Berlin.
4. Tobias S.A. Machine Tool Vibration. 1965;Blackie, London.
5. Kudinov V.A. Theory of vibration generated from metal cutting (in Russian), New Technology of Mechanical Engineering. 1955;USSR Academy of Sciences Publishing House, Moscow.
6. Kudinov V.A. Dynamics of Tool-Lathe (in Russian). 1967;Mashinostroenie, Moscow.
7. Moon F.C. Dynamics and Chaos in Manufacturing Processes. 1998;Wiley, New York.
8. Seagalman D.J., Butcher E.A. Suppression of regenerative chatter via impendance modulation. Journal of Vibration and Control. 6:2000;243-256.
9. Stépán G. Modelling nonlinear regenerative effects in mental cutting. Philosophical Transactions of the Royal Society. 359:2001;739-757.
10. A.M. Gouskov, S.A. Voronov, H. Paris, S.A. Batzer, Cylindrical workpiece turning using multiple-cutter tool heads, Proceedings of the ASME 2001 Design Engineering Technical Conferences, Pittsburgh, Pennsylvania (2001) paper no. DETC2001/VIB-21431 (CD-ROM).
11. Minis I., Yanushevsky R. A new theoretical approach for the prediction of machine tool chatter in milling. Journal of Engineering for Industry. 115:1993;1-8.
12. Stépán G. Retarded Dynamical Systems. 1989;Longman, Harlow.
13. Shi H.M., Tobias S.A. Theory of finite amplitude machine tool instability. International Journal of Machine Tool Design and Research. 24:1984;45-69.
14. G. Stépán, T. Kalmár-Nagy, Nonlinear regenerative machine tool vibration, Proceedings of the 1997 ASME Design Engineering Technical Conferences, Sacramento, California (1997) paper no. DETC97/VIB-4021 (CD-ROM).
15. Halanay A. Stability theory of linear periodic systems with delay (in Russian). Revue de Mathéematiques Pures et Appliquées. 6:(4):1961;633-653.
16. Hale J.K. Theory of Functional Differential Equations. 1977;Springer-Verlag, New York.
17. Altintas Y., Budak E. Analytical prediction of stability lobes in milling. Annals of the CIRP. 44:(1):1995;357-362.
18. Budak E., Altintas Y. Analytical prediction of chatter stability in milling - Part I: General formulation. Journal of Dynamic Systems, Measurement and Control. 120:1998;22-30.
19. Budak E., Altintas Y. Analytical prediction of chatter stability in milling - Part II: Application of the general formulation to common milling systems. Journal of Dynamic Systems, Measurement and Control. 120:1998;31-36.
20. Davies M.A., Pratt J.R., Dutterer B., Burns T.J. Stability prediction for low radial immersion milling. Journal of Manufacturing Science and Engineering. 124:(2):2002;217-225.
21. T. Insperger, G. Stépán, Stability of high-speed milling, Proceedings of the ASME 2000 DETC, Symposium on Nonlinear Dynamics and Stochastic Mechanics, Orlando, Florida, AMD-241 (2000) 119-123.
22. P.V. Bayly, J.E. Halley, P.B. Mann, M.A. Davies, Stability of interrupted cutting by temporal finite element analysis, Proceedings of the ASME 2001 Design Engineering Technical Conferences, Pittsburgh, Pennsylvania (2001) paper no. DETC2001/VIB-21581. (CD-ROM).
23. Tian J., Hutton S.G. Chatter instability in milling systems with flexible rotating spindles - a new theoretical approach. Journal of Manufacturing Science and Engineering. 123:(1):2001;1-9.
24. Smith S., Tlusty J. An overview of modeling and simulation of the milling process. Journal of Engineering for Industry. 113:1991;169-175.
25. Balachandran B. Non-linear dynamics of milling process. Philosophical Transactions of the Royal Society. 359:2001;793-820.
26. Zhao M.X., Balachandran B. Dynamics and stability of milling process. International Journal of Solids and Structures. 38:(10-13):2001;2233-2248.
27. D.M. Esterling, Y. Ren, Y.S. Lee, Time-domain chatter prediction for high speed machining, Proceedings of 2002 Annual North American Manufacturing Research Conference (NAMRC XXX), West Lafayette, Indiana (2002) in press.
28. Schmitz T.L., Davies M.A., Medicus K., Snyder J. Improving high-speed machining material removal rates by rapid dynamic analysis. Annals of the CIRP. 50:(1):2001;263-268.
29. W.T. Corpus, W.J. Endres, A high-order solution for the added stability lobes in intermittent machining, Proceedings of the ASME 2001 DETC, Symposium on Machining Processes, Orlando, Florida, MED-11 (2000) 871-878.
30. G. Stépán, R. Szalai, Nonlinear vibrations of highly interrupted machining, Proceedings of the 2nd Workshop of COST P4 WG2 on Dynamics and Control of Mechanical Processing, Budapest, Hungary (2001) 59-64.
31. T. Insperger, G. Stépán, Semi-discretization method for delayed systems, International Journal for Numerical Methods in Engineering (2002) in press.
32. Meirovitch L. Elements of Vibration Analysis. 1986;McGraw-Hill, Inc., New York.
33. J. E. Halley, Stability of low radial immersion milling, MSc Thesis, Washington University, St. Louis, Missouri, 1999.
34. P.V. Bayly, J.E. Halley, M.A. Davies, J.R. Pratt, Stability analysis of interrupted cutting with finite time in the cut, Proceeding of the ASME 2000 DETC, Manufacturing in Engineering Division, Orlando, Florida, MED-11 (2000) 989-994.
35. Peters D.A., Idzapanah A.P. Hp-version finite elements for the space-time domain. Computational Mechanics. 3:1988;73-88.
36. T. Insperger, G. Stépán, P.V. Bayly, B.P. Mann, Multiple chatter frequencies in milling processes, Journal of Sound and Vibration (2002) in press.