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Regenerative Model of Cutting Process with Nonlinear Duffing Oscillator

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents analytical and numerical study of externally forced Duffing oscillator with delayed displacement feedback. By using analytical method, stability lobes for a linear oscillator with time delay is determined and the fundamental resonance of the Duffing oscillator with time delay is calculated by means of the multiple scale method. Next, an influence of delayed displacement feedback on the classical Duffing oscillator is examined and an effect of cubic nonlinearity on the stability of the regenerative model of cutting process is analysed.
Rocznik
Strony
131--145
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Lublin University of Technology Department of Applied Mechanics Nadbystrzycka 36, 20-618 Lublin, Poland
autor
  • Lublin University of Technology Department of Applied Mechanics Nadbystrzycka 36, 20-618 Lublin, Poland
  • Lublin University of Technology Department of Applied Mechanics Nadbystrzycka 36, 20-618 Lublin, Poland
Bibliografia
  • [1] Pyragas, K.: Continuous control of chaos by self-controlling feedback, Physics Letters A, 170, 421–8, 1992.
  • [2] Hu, H. Y. and Wang, Z. H.: Singular perturbation methods for nonlinear dynamic systems with time delays, Chaos, Solitons & Fractals, 40(1), 13–27, 2009.
  • [3] Litak, G.: Chaotic Vibrations in a Regenerative Cutting Process, Chaos Solitons and Fractals, (13), 1531–5, 2002.
  • [4] Stepan, G. and Kalmar{Nagy, T.: Nonlinear Regenerative Machine Tool Vibrations, p. 1–11, 1997.
  • [5] Fofana, M.S.: Delay dynamical system and applications to nonlinear machine tool chatter, Chaos Solitons and Fractals, 17, 731–47, 2003.
  • [6] Stepan, G., Szalai, R. and Insperger, T.: Nonlinear Dynamics of High–speed Milling Subjected to Regenerative Effect, In: Radons G, Neugebauer R, editors. Nonlinear Dynamics of Production Systems, Weinheim: Wiley{VCH, 111–27, 2004.
  • [7] Altintas, Y. and Weck, M.: Chatter Stability of Metal Cutting and Grinding, Annals of the CIRP, 53(2), 619–42, 2004.
  • [8] Nayfeh, A. H and Nayfeh, N. A.: Analysis of the cutting tool on a lathe, Nonlinear Dynamics, 63, 395–416, 2011.
  • [9] K_ecik, K., Rusinek, R. and Warminski, J.: Stability Lobs Analysis of Nickel Superalloys Milling, International Journal of Bifurcation and Chaos, 21(10), 1–12, 2011.
  • [10] Dombovari, Z., Barton, D. A. W., Wilson, R. E. and Stepan, G.: On the global dynamics of chatter in the orthogonal cutting model, International Journal of Non-Linear Mechanics, 46, 330–8, 2011.
  • [11] Yao, Z., Mei, D. and Chen, Z.: Chatter suppression by parametric excitation: Model and experiments, Journal of Sound and Vibration, 330(13), 2995–3005, 2011.
  • [12] Ghosh, D., Chowdhury, A. R. and Saha, P.: On the various kinds of synchronization in delayed Duffing–Van der Pol system, Communications in Nonlinear Science and Numerical Simulation, 13, 790–803, 2008.
  • [13] Hu, H., Dowell, E. H. and Virgin, L. N.: Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback, Nonlinear Dynamics, 15(311), 327, 1998.
  • [14] Balachnadran, B.: Nonlinear Dynamics of milling process. Phil Trans The Royal Society of London A Mathematical Physical And Engineering Science, 359(1781), 793–819, 2001.
  • [15] Bobrenkov, O. A., Khasawneh, F. A., Butcher, E.A. and Mann, B.P.: Analysis of milling dynamics for simultaneusly engaged cutting teeth, Journal of Sound and Vibration, 329, 585–606, 2010.
  • [16] Mann, B.: Stability of up–milling and down–milling, part 2: experimental verification, International Journal of Machine Tools and Manufacture, 43(1), 35–40, 2003.
  • [17] Vedulda, I., Lingala, N. and Sri Namachchivaya, N.: Stability of systems with time–periodic delay: application to variable speed boring process, Proc IMechE Part C: J Mechanical Engineering Science, 225, 2296–311, 2011.
  • [18] Nayfeh, A. H.: Problems in Perturbation, John Wiley & Sons, Inc., 1985.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b69311a1-b25b-4c18-a165-f8d822826771
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