Milling model with variable time delay

American Society of Mechanical Engineers, Manufacturing Engineering Division, MED

Volumn 15, Issue , 2004, Pages 933-940

  Long, X H ^a   Balachandran, B ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HOPF BIFURCATIONS; MILLING MODELS; PERIODIC ORBITS; VARIABLE TIME DELAY;

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CUTTING; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; ROTATION;

MILLING (MACHINING);

EID: 23244443460     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2004-59207     Document Type: Conference Paper

References (18)

1. Martellotti, M.E., (1941), "An Analysis of the Milling Process," Transactions of the ASME, Vol. 63, pp. 677-700.
2. Martellotti, M.E., (1945), "An Analysis of the Milling Process. Part II: Down Milling," Transactions of the ASME, Vol. 67, pp. 233-251.
3. Sridhar, R., Hohn, R. E. and Long, G. W., (1968), "A Stability Algorithm for the General Milling Process," ASME Journal of Engineering for Industry, Vol. 90, pp. 330-334.
4. Balachandran. B., (2001), "Nonlinear Dynamics of Milling Processes," Phil Trans. R. Soc. Land. A, Vol. 359, pp. 793-819.
5. Balachandran, B. and Zhao, M. X., (2000), "A Mechanics Based Model for Study of Dynamics of Milling Operations," Meccanica, Vol. 35, pp. 89-109.
6. Zhao, M. X. and Balachandran, B., (2001), "Dynamics and Stability of Milling Process," International Journal of Solids and Structures, Vol. 38 (10-13), pp. 2233-2248.
7. Balachandran, B. and Gilsinn, D., (2004), "Nonlinear Oscillations of Milling," Mathematical and Computer Modelling of Dynamical Systems, in press.
8. Tlusty, J. and Polacek, M., (1963), "The Stability of the Machine Tool Against Self-Excited Vibration in Machining," Proceedings of the Conference on International Research in Production Engineering, Pittsburgh. PA, pp. 465-474.
9. Tobias, S. A., (1965), Machine-Tool Vibration, John Wiley & Sons.
10. th International MTDR Conference, Pergamon Press, New York.
11. Hanna, N. H. and Tobias, S. A., (1974), "A Theory of Nonlinear Regenerative Chatter," ASME Journal of Engineering for Industry, Vol. 96, pp. 247-255.
12. Minis, I., Yanushevsky, R., (1993), "A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling," ASME Journal of Engineering for Industry, Vol. 115, pp. 1-8.
13. Altintas, Y. and Budak, E., (1995), "Analytical Prediction of Stability Lobes in Milling," Annals of CIRP, Vol. 44, pp. 357-362.
14. Insperger, T. and Stépán, G., (2001), "Semi- discretization of Delayed Dynamical Systems," Proceedings of DETC'01 ASME 2001 Design Engineering Technical Conference and Computers and Information in Engineering Conference Pittsburgh, PA, September 9-12, CD-ROM, DETC2001/VIB-21446.
15. Insperger, T., and Stépán, G., (2002), "Semi- discretization method for Delayed Systems," International Journal of Numerical Methods in Engineering, Vol. 55, pp. 503-518.
16. Long, X.H., and Balachandran, B., (2002), "Stability of Milling Process," Nonlinear Dynamics, accepted for publication.
17. Nayfeh, A. H. and Balachandran, B., (1995), Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods, John Wiley & Sons, Inc.
18. Mann, B.P., Insperger, T., Bayly, P.V., and Stépán, G., (2003), "Stability of Up-Milling and Down-Milling, Part 2: Experimental Verification," International Journal of Machine Tools & Manufacture, Vol. 43, pp. 35-40.