Stability and bifurcation analyses of chatter vibrations in a nonlinear cylindrical traverse grinding process

Journal of Sound and Vibration

Volumn 332, Issue 15, 2013, Pages 3879-3896

  Kim, Pilkee ^a   Jung, Jeehyun ^a   Lee, Sooyoung ^a   Seok, Jongwon ^a  

^a Chung Ang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CODIMENSION TWO BIFURCATION; CYCLIC FOLD BIFURCATIONS; CYLINDRICAL TRAVERSE GRINDING; DELAY DIFFERENTIAL EQUATIONS; NUMERICAL INTEGRATIONS; STABILITY AND BIFURCATION ANALYSIS; STABILITY BOUNDARIES; WINDOWS OF INTERESTS;

DELTA SIGMA MODULATION; DIFFERENTIAL EQUATIONS; GRINDING (MACHINING); GRINDING MACHINES; HOPF BIFURCATION;

STABILITY;

EID: 84876922565     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2013.02.009     Document Type: Article

References (33)

1. S.A. Tobias Machine tool vibration 1965 Blackie London
2. N.H. Hanna, and S.A. Tobias A theory of nonlinear regenerative chatter Transactions of the ASME - Journal of Engineering for Industry 96 1947 247 255
3. H.M. Shi, and S.A. Tobias Theory of finite amplitude machine tool instability International Journal of Machine Tool Design and Research 24 1984 45 69
4. G. Stepan, T. Kalmar-Nagy, Nonlinear regenerative machine tool vibration, Proceedings of the 17th Biennial Conference on Mechanical Vibration and Noise, ASME Design Engineering Technical Conferences, Sacramento, 1997, DETC 97/VIB-4021
5. G.M.S. Ahmed, P.R. Reddy, and N. Seetharamaiah Experimental investigation of magneto rheological damping effect on surface roughness of work piece during end milling process International Journal of Precision Engineering and Manufacturing 13 6 2012 835 844
6. A.H. Nayfeh, C. Chin, and J. Pratt Perturbation methods in nonlinear dynamics-applications to machining dynamics ASME Journal of Manufacturing Science and Engineering 119 1997 485 493
7. T. Insperger, G. Stepan, and J. Turi State-dependent delay in regenerative turning processes Nonlinear Dynamics 47 1-3 2007 275 283
8. T. Insperger, D.A.W. Barton, and G. Stepan Criticality of Hopf bifurcation in state-dependent delay model of turning processes International Journal of Non-Linear Mechanics 43 2 2008 140 149
9. P. Kim, and J. Seok Bifurcation analyses on the chatter vibrations of a turning process with state-dependent delay Nonlinear Dynamics 69 2012 891 912
10. P. Kim, S. Bae, and J. Seok Bifurcation analysis on a turning system with large and state-dependent time delay Journal of Sound and Vibration 331 2012 5562 5580
11. T. Insperger, G. Stepan, P.V. Bayly, and B.P. Mann Multiple chatter frequencies in milling processes Journal of Sound and Vibration 262 2003 333 345
12. Z. Dombovari, A. Iglesias, M. Zatarain, and T. Insperger Prediction of multiple dominant chatter frequencies in milling processes International Journal of Machine Tools and Manufacture 51 2011 457 464
13. G. Stepan, T. Insperger, and R. Szalai Delay, parametric excitation, and the nonlinear dynamics of cutting processes International Journal of Bifurcation and Chaos 15 9 2005 2783 2798
14. R.A. Thompson On the double regenerative stability of a grinder ASME Journal of Engineering for Industry Series B 96 1 1974 275 280
15. R.A. Thompson On the double regenerative stability of a grinder: the theory of chatter growth ASME Journal of Engineering for Industry Series B 108 2 1986 75 82
16. R.A. Thompson On the double regenerative stability of a grinder: the mathematical analysis of chatter growth ASME Journal of Engineering for Industry Series B 108 2 1986 83 92
17. R.A. Thompson On the double regenerative stability of a grinder: the effect of contact stiffness and wave filtering ASME Journal of Engineering for Industry Series B 114 1 1992 53 60
18. Z. Liu, and G. Payre Stability analysis of doubly regenerative cylindrical grinding process Journal of Sound and Vibration 301 2007 950 962
19. Y. Yan, J. Xu, and W. Wang Nonlinear chatter with large amplitude in a cylindrical plunge grinding process Nonlinear Dynamics 69 2012 1781 1793
20. G. Werner Influence of work material on grinding forces Annals of the CIRP 27 1 1978 243 248
21. U.S.P. Durgumahanti, V. Singh, and P.V. Rao A new model for grinding force prediction and analysis International Journal of Machine Tools and Manufacture 50 2010 231 240
22. J. Tanga, J. Dua, and Y. Chena Modeling and experimental study of grinding forces in surface grinding Journal of Materials Processing Technology 209 2009 2847 2854
23. K.W. Chung, and Z. Liu Nonlinear analysis of chatter vibration in a cylindrical transverse grinding process with two time delays using a nonlinear time transformation method Nonlinear Dynamics 66 2011 441 456
24. I. Inasaki, B. Karpuschewski, and H.S. Lee Grinding chatter-origin and suppression CIRP Annals - Manufacturing Technology 50 2 2001 515 534
25. H. Li, and Y.C. Shin A study on chatter boundaries of cylindrical plunge grinding with process condition-dependent dynamics International Journal of Machine Tools and Manufacture 47 2007 1563 1572
26. P. Wahi, and A. Chatterjee Regenerative tool chatter near a codimension 2 Hopf point using multiple scales Nonlinear Dynamics 40 2005 323 338
27. L. Yuan, V.-M. Jarvenpaa, E. Keskinen, Analysis and simulation of roll grinding system with double time delay effect, Proceedings of Surveillance, Vol. 5, CETIM, Senlis, France, October 2004, pp. 1-11.
28. R. Bellman, and K.L. Cooke Differential-Difference Equations 1963 Academic Press New York
29. G. Stepan Retarded Dynamical Systems: Stability and Characteristic Function 1989 Wiley New York
30. W. Michiels, and S.-I. Niculescu Stability and Stabilization of Time-delay Systems: An Eigenvalue-based Approach, in: Advances in Design and Control 12 2007 SIAM Publications Philadelphia
31. K. Engelborghs DDE-BIFTOOL: a MATLAB package for bifurcation analysis of delay differential equations, Department of Computer Science 2000 Katholieke Universiteit Leuven Leuven, Belgium
32. N. Olgac, A.F. Ergenc, and R. Sipahi Delay scheduling: a new concept for stabilization in multiple delay systems Journal of Vibration and Control 11 9 2005 1159 1172
33. Y.A. Kuznetsov Elements of Applied Bifurcation Theory 2nd ed. 1998 Springer-Verlag New York