Abstract
This paper investigates how changes in chatter amplitude and frequency depend on process damping effect in dynamic turning process. For this purpose, the two degrees of freedom (TDOF) cutting system was modeled, and for an orthogonal turning system, the process damping model with a new simple approach was developed. To further explore the nature of the TDOF cutting model, a numerical simulation of the process was developed by this model. This simulation was able to overcome some of the weaknesses of the analytical model. The equations of motion for this cutting system were written as linear and nonlinear in the τ-decomposition form. The variation in the process damping ratios for different work materials was simply obtained by solving the nonlinear differential equations. A series of orthogonal chatter stability tests were performed for the identification of dynamic cutting force coefficients, using AISI-1040, Al-7075, and Al-6061 work materials, at a constant spindle speed. Finally, the experimental results were analyzed and compared with the simulation model, and it was observed that the results obtained through the experiments comply with the simulation model results.
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Turkes E, Orak S, Neseli S, Yaldiz S (2011) A new process damping model for chatter vibration. Measurement 44(8):1342–1348
Altintas Y, Weck M (2004) Chatter stability in metal cutting and grinding. CIRP Ann Manuf Technol 53(2):619–642
Das MK, Tobias SA (1967) The relation between the static and the dynamic cutting of metals. Int J Mach Tool Des Res 7(2):63–89
Tlusty J (1978) Analysis of the state of research in cutting dynamics. CIRP Ann Manuf Technol 27(2):583–589
Sisson TR, Kegg RL (1969) An explanation of low-speed chatter effects. J Eng Ind 91(4):951–959
Wu DW (1984) A new approach of formulating the transfer function for dynamic cutting processes. J Eng Ind 111:37–47
Elbestawi MA, Ismail F, Du R, Ullagaddi BC (1994) Modeling machining dynamics including damping in the tool-workpiece interface. J Eng Ind 116(4):435–439
Lee BY, Tarng YS, Ma SC (1995) Modeling of the process damping force in chatter vibration. Int J Mach Tool Manuf 35(7):951–962
Shawky AM, Elbestawi MA (1997) An enhanced dynamic model in turning including the effect of ploughing forces. J Manuf Sci Eng 119(1):11–20
Altintas Y, Eynian M, Onozuka H (2008) Identification of dynamic cutting force coefficients and chatter stability with process damping. CIRP Ann Manuf Technol 57(1):371–374
Budak E, Tunc LT (2009) A new method for identification and modeling of process damping in machining. J Manuf Sci Eng(131/051019)
Turkes E, Orak S, Neseli S, Yaldiz S (2012) Decomposition of process damping ratios and verification of process damping model for chatter vibration. Measurement 45(6):1380–1386
Toh CK (2004) Static and dynamic cutting force analysis when high speed rough milling. Mater Des 25(1):41–50
Pratt JR, Nayfeh AH (1999) Design and modeling for chatter control. Nonlinear Dyn 19(1):49–69
Nayfeh AH, Nayfeh NA (2011) Analysis of the cutting tool on a lathe. Nonlinear Dyn 63(3):395–416
Litak G, Schubert S, Radons G (2012) Nonlinear dynamics of a regenerative cutting process. Nonlinear Dyn 69(3):1255–1262
Kim P, Seok J (2012) Bifurcation analyses on the chatter vibrations of a turning process with state-dependent delay. Nonlinear Dyn 69(3):891–912
Neşeli S (2013) Analytical investigation of effect of process damping on chatter vibrations and optimization cutting parameters depending on stable depth of cut and process damping values in turning. Natural and Applied Science of Selcuk University, PhD thesis, Turkey
Turkes E, Orak S, Neseli S, Yaldiz S (2011) Linear analysis of chatter vibration and stability for orthogonal cutting in turning. Int J Refract Met Hard Mater 29(2):163–169
Orak S, Turkes E (2005) Investigation of cutting process damping in the chatter for turning. 1st International Vocational and Technical Education Technologies Congress, Marmara University, Technical Educational Faculty, İstanbul/Turkey 1094–1104
Gouskov AM, Voronov SA, Paris H, Batzer SA (2002) Nonlinear dynamics of a machining system with two interdependent delays. Commun Nonlinear Sci Numer Simul 7(4):207–221
Deshpande N, Fofana MS (2001) Nonlinear regenerative chatter in turning. Robot Comput Integr Manuf 17(1–2):107–112
Cardi AA, Firpi HA, Bement MT, Liang SY (2008) Workpiece dynamic analysis and prediction during chatter of turning process. Mech Syst Signal Process 22(6):1481–1494
Christopher MT, Sam T, Neil DS (2010) Chatter, process damping, and chip segmentation in turning: a signal processing approach. J Sound Vib 329:4922–4935
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Türkeş, E., Neşeli, S. A simple approach to analyze process damping in chatter vibration. Int J Adv Manuf Technol 70, 775–786 (2014). https://doi.org/10.1007/s00170-013-5307-0
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DOI: https://doi.org/10.1007/s00170-013-5307-0