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Chatter in interrupted turning with geometrical defects: an industrial case study

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Abstract

In this paper, machine tool chatter arising in an interrupted turning process is investigated in a strong industrial context with a complex flexible part. A detailed analysis of the real cutting process is performed with special respect to the geometrical defects of the part in order to highlight the source of machine tool vibrations. The analysis is completed by simple models to estimate the forced vibrations in interrupted turning, the gyroscopic effect, and the mode coupling using a new simplified formulation. Then, a new dynamical model with interrupted cutting and geometrical inaccuracies—runout and orientation of eccentricity—is presented. Stability analysis of this model is performed by the semi-discretization method, an improved technique for analyzing delay-differential equations. The use of all these models on a given machining configuration allows comparing several vibration mechanisms. Thus, behavior’s specificities are highlighted, especially the influence of eccentricity runout on stability. A sensitivity analysis shows the effect of the value and the orientation of the geometrical defects for low speed conditions. Then this result are extrapolated to high-speed conditions to look for possible new stable cutting conditions and shows a period doubling flip instability, never described before in turning operations. The main focus of this paper is developing and exploring a stability model for interrupted cutting in turning with geometrical defects. The complexity of the industrial context led to methodically compare different chatter and vibration mechanisms; this approach can be generalized to other industrial contexts.

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References

  1. Taylor FW (1907) On the art of cutting metals. Trans ASME 28:31–350, §634A

    Google Scholar 

  2. Tobias SA, Fishwick W (1958) Theory of regenerative machine tool chatter. Engineer 205(199–203):238–239

    Google Scholar 

  3. Tlusty J, Polacek M (1963) The stability of the machine tool against self-exited vibration in machining. In: Proceedings of the International Research in Production Engineering Conference, ASME Press, Pittsburgh, pp. 465–474

  4. Altintas Y, Budak E (1995) Analytical prediction of stability lobes in milling. CIRP Ann Manuf Technol 44:357–362

    Article  Google Scholar 

  5. Budak E (2006) Analytical models for high performance milling, part I: cutting forces, structural deformations and tolerance integrity. Int J Mach Tools Manuf 46:1478–1488

    Article  Google Scholar 

  6. Budak E (2006) Analytical models for high performance milling, part II: process dynamics and stability. Int J Mach Tools Manuf 46:1489–1499

    Article  Google Scholar 

  7. Gourc E, Seguy S, Arnaud L (2011) Chatter milling modeling of active magnetic bearing spindle in high-speed domain. Int J Mach Tools Manuf 51:928–936

    Article  Google Scholar 

  8. Mousseigne M, Landon Y, Seguy S, Dessein G, Redonnet JM (2013) Predicting the dynamic behaviour of torus milling tools when climb milling using the stability lobes theory. Int J Mach Tools Manuf 65:47–57

    Article  Google Scholar 

  9. Paris H, Peigné G, Mayer R (2004) Surface shape prediction in high speed milling. Int J Mach Tools Manuf 44:1567–1576

    Article  Google Scholar 

  10. Lorong P, Coffignal G, Cohen-Assouline S (2008) Simulation du comportement dynamique d’un système usinant: modélisation de l’interaction outil/matière en présence d’une pièce flexible. Mec Ind 9:117–124

    Google Scholar 

  11. Insperger T, Mann BP, Stépán G, Bayly PV (2003) Stability of up-milling and down-milling, part 1: alternative analytical methods. Int J Mach Tools Manuf 43:25–34

    Article  Google Scholar 

  12. Bayly PV, Halley JE, Mann BP, Davies MA (2003) Stability of interrupted cutting by temporal finite element analysis. J Manuf Sci Eng 125:220–225

    Article  Google Scholar 

  13. Khasawneh FA, Bobrenkov OA, Mann BP, Butcher EA (2012) Investigation of period-doubling islands in milling with simultaneously engaged helical flutes. J Vib Acoust 134:021008

    Article  Google Scholar 

  14. Insperger T, Stépán G (2004) Uptaded semi-discretization method for periodic delay-differential equations with discrete delay. Int J Numer Methods Eng 61:117–141

    Article  MATH  Google Scholar 

  15. Insperger T, Stépán G, Turi J (2008) On the higher-order semi-discretizations for periodic delayed systems. J Sound Vib 313:334–341

    Article  Google Scholar 

  16. Insperger T, Stépán G (2011) Semi-discretization for time-delay systems—stability and engineering applications. Springer

  17. Mann BP, Insperger T, Stépán G, Bayly PV (2003) Stability of up-milling and down-milling, part 2: experimental verification. Int J Mach Tools Manuf 43:35–40

    Article  Google Scholar 

  18. Insperger T, Stépán G (2004) Stability analysis of turning with periodic spindle speed modulation via semidiscretization. J Vib Control 10:1835–1855

    Article  MATH  Google Scholar 

  19. Zatarain M, Muñoa J, Peigné G, Insperger T (2006) Analysis of the influence of mill helix angle on chatter stability. CIRP Ann Manuf Technol 55:365–368

    Article  Google Scholar 

  20. Seguy S, Insperger T, Arnaud L, Dessein G, Peigné G (2011) Suppression of period doubling chatter in high-speed milling by spindle speed variation. Mach Sci Technol 15:153–171

    Article  Google Scholar 

  21. Seguy S, Dessein G, Arnaud L, Insperger T (2010) Control of chatter by spindle speed variation in high-speed milling. Adv Mater Res 112:179–186

    Article  Google Scholar 

  22. Altintas Y, Weck M (2004) Chatter stability of metal cutting and grinding. CIRP Ann Manuf Technol 53:619–642

    Article  Google Scholar 

  23. Olgac N, Sipahi R (2005) A unique methodology for chatter stability mapping in simultaneous machining. J Manuf Sci Eng 127:791–800

    Article  Google Scholar 

  24. Minis IE, Magrab EB, Pandelidis IO (1990) Improved methods for the prediction of chatter in turning part 3: a generalized linear theory. J Eng Ind 112:28–35

    Article  Google Scholar 

  25. Chen CK, Tsao YM (2006) Stability analysis of regenerative chatter in turning process without using tailstock. Int J Adv Manuf Technol 29:648–654

    Article  MATH  Google Scholar 

  26. Chandiramani NK, Pothala T (2006) Dynamics of 2-dof regenerative chatter during turning. J Sound Vib 290:448–464

    Article  Google Scholar 

  27. Lehotzky D, Insperger T (2012) Stability of turning processes subjected to digital PD control. Period Polytech Mech Eng 56:33–42

    Article  Google Scholar 

  28. Gourc E, Seguy S, Michon G, Berlioz A (2013) Chatter control in turning process with a nonlinear energy sink. Adv Mater Res 698:89–98

    Article  Google Scholar 

  29. Insperger T, Barton DAW, Stépán G (2008) Criticality of Hopf bifurcation in state-dependent delay model of turning processes. Int J Nonlinear Mech 43:140–149

    Article  MATH  Google Scholar 

  30. Dombovari Z, Barton DAW, Wilson RE, Stepan G (2011) On the global dynamics of chatter in the orthogonal cutting model. Int J Nonlinear Mech 46:330–338

    Article  Google Scholar 

  31. Rigal J, Pupaza C, Bedrin C (1998) A model for simulation of vibrations during boring operations of complex surfaces. CIRP Ann Manuf Technol 47:51–54

    Article  Google Scholar 

  32. Lazoglu I, Atabey F, Altintas Y (2002) Dynamic of boring processes: part III—time domain. Int J Mach Tools Manuf 42:1567–1576

    Article  Google Scholar 

  33. Budak E, Ozlu E (2007) Analytical modeling of chatter stability in turning and boring operations: a multi-dimensional approach. CIRP Ann Manuf Technol 56:401–404

    Article  Google Scholar 

  34. Szalai R, Stépán G (2006) Lobes and lenses in the stability chart of interrupted turning. J Comput Nonlinear Dyn 1:205–211

    Article  Google Scholar 

  35. Schmitz TL, Couey J, Marsh E, Mauntler N, Hughes D (2007) Runout effect in milling: surface finish, surface location error, and stability. Int J Mach Tools Manuf 47:841–851

    Article  Google Scholar 

  36. Insperger T, Mann BP, Surmann T, Stépán G (2008) On the chatter frequencies of milling processes with runout. Int J Mach Tools Manuf 48:1081–1089

    Article  Google Scholar 

  37. Siddhpura M, Paurobally R (2012) A review of chatter vibration research in turning. Int J Mach Tools Manuf 61:27–47

    Article  Google Scholar 

  38. Arnaud L, Dutilh V, Dessein G, Saussol A (2008) Arnaud M Analyse et réduction des vibrations d’usinage d’une pièce automobile produite en grande série. XVI Symposium VIbrations, SHocks & NOise VISHNO, Paris

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Correspondence to Sébastien Seguy.

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Seguy, S., Arnaud, L. & Insperger, T. Chatter in interrupted turning with geometrical defects: an industrial case study. Int J Adv Manuf Technol 75, 45–56 (2014). https://doi.org/10.1007/s00170-014-6120-0

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  • DOI: https://doi.org/10.1007/s00170-014-6120-0

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