Optimal cutting condition determination for milling thin-walled details

Abstract

This paper presents an approach for determining the optimal cutting condition for milling thin-walled elements with complex shapes. The approach is based on the interaction between the thin-walled detail and its periodic excitation by tooth passing, taking into account the high intermittency of such a process. The influence of the excitation frequency on the amplitude of the detail oscillation during milling was determined by simulation and experiments. It was found that the analytical results agreed with experimental data. The position of the detail when the tooth starts to cut was evaluated through experiments. The influence of this parameter on the processing state is presented herein. The processing stability is investigated and compared with the proposed approach. Thereafter, spectral analyses are conducted to determine the contribution of the vibrating frequencies to the detail behavior during processing.

Keywords

Thin-walled detail / High-speed milling / Stability / Surface finish

References

[1] Tobias SA. Machine-tool vibration, 1965, New York: Wiley

[2] Koenigsberger F, Tlusty J. Structures of machine tools, 1970, Oxford: Pergamon Press

[3] Merrit HE. Theory of self-excited machine tool chatter. ASME J Eng Ind, 1965, 87: 447-454.

[4] Week M. Handbook of machine tools, 1985, New York: Wiley

[5] Minis IE, Magrab EB, Pandelidis IO. Improved methods for the prediction of chatter in turning, part 3: a generalized linear theory. J Eng Ind, 1990, 112: 28-35.

[6] Tlusty J. Dynamics of high-speed milling. J Eng Ind, 1986, 108: 59-67.

[7] Tlusty J, Ismail F. Special aspects of chatter in milling. J Vib Acoust Stress Reliab Des, 1983, 105: 24-32.

[8] Sridhar R, Hohn RE, Long GW. A general formulation of the milling process equation: contribution to machine tool chatter research—5. J Eng Ind, 1968, 90: 317-324.

[9] Sridhar R, Hohn RE, Long GW. A stability algorithm for the general milling process: contribution to machine tool chatter research—7. J Eng Ind, 1968, 90: 330-334.

[10] Hohn RE, Sridhar R, Long GW. A stability algorithm for a special case of the milling process: contribution to machine tool chatter research—6. J Eng Ind, 1968, 90: 325-329.

[11] Minis I, Yanushevsky R. A new theoretical approach for the prediction of machine tool chatter in milling. J Eng Ind, 1993, 115: 1-8.

[12] Altintacs Y, Lee P. A general mechanics and dynamics model for helical end mills. CIRP Ann Technol, 1996, 45: 59-64.

[13] Smith S, Tlusty J. An overview of modeling and simulation of the milling process. J Eng Ind, 1991, 113: 169-175.

[14] Budak E. Mechanics and dynamics of milling thin walled structures, 1994, Vancouver: Dissertation, The University of British Columbia

[15] Altintas Y, Budak E. Analytical prediction of stability lobes in milling. CIRP Ann Technol, 1995, 44: 357-362.

[16] Altintas Y, Budak E. Analytical prediction of chatter stability in milling—part II: application of the general formulation to common milling systems. J Dyn Syst Meas Control, 1998, 120: 31-36.

[17] Altintas Y, Shamoto E, Lee P, et al. Analytical prediction of stability lobes in ball end milling. J Manuf Sci Eng, 1999, 121: 586-592.

[18] Altintas Y, Campoanes M. An improved time domain simulation for dynamic milling at small radial immersions. J Manuf Sci Eng, 2003, 125: 416-422.

[19] Altintas Y, Montgomery D. Mechanism of cutting force and surface generation in dynamic milling. J Eng Ind, 1991, 113: 160-168.

[20] Altintas Y, Montgomery D, Budak E. Dynamic peripheral milling of flexible structures. J Eng Ind, 1992, 114: 137-145.

[21] Arnaud L, Gonzalo O, Seguy S, et al. Simulation of low rigidity part machining applied to thin-walled structures. Int J Adv Manuf Technol, 2011, 54: 479-488.

[22] Wang T, Ning H, Liang L (2010) Stability of milling of thin-walled workpiece. In: 2010 International conference on mechanic automation and control engineering (MACE), Wuhan, pp 3408–3411

[23] Davies M, Balachandran B. Impact dynamics in the milling of thin-walled structures. Nonlinear Dyn, 2000, 22(4): 375-392.

[24] Davies MA, Pratt JR, Dutterer BS, et al. Stability prediction for low radial immersion milling. J Manuf Sci Eng, 2002, 124: 217-225.

[25] Davies MA, Pratt JR, Dutterer BS, et al. The stability of low radial immersion milling. CIRP Ann Technol, 2000, 49: 37-40.

[26] Insperger T, Stépán G. Stability of the milling process. Period Polytech Eng Mech Eng, 2000, 44(1): 47-57.

[27] Insperger T, Stépán G. Vibration frequencies in high-speed milling processes or a positive answer to Davies, Pratt, Dutterer and Burns. J Manuf Sci Eng, 2004, 126: 481-487.

[28] Altintas Y, Budak E. Analytical prediction of chatter stability in milling—part I: general formulation. J Dyn Syst Meas Control, 1998, 120: 22-30.

[29] Merdol SD, Altintas Y. Multi frequency solution of chatter stability for low immersion milling. Trans Soc Mech Eng J Manuf Sci Eng, 2004, 126: 459-466.

[30] Schmitz T, Ziegert J. Examination of surface location error due to phasing of cutter vibrations. Precis Eng, 1999, 23: 51-62.

[31] Schmitz TL, Couey J, Marsh E, et al. Runout effects in milling: surface finish, surface location error, and stability. Int J Mach Tools Manuf, 2007, 47: 841-851.

[32] Schmitz TL, Ziegert JC, Canning JS, et al. Case study: a comparison of error sources in high-speed milling. Precis Eng, 2008, 32: 126-133.

[33] Schmitz TL, Mann BP. Closed-form solutions for surface location error in milling. Int J Mach Tools Manuf, 2006, 46: 1369-1377.

[34] Schmitz TL, Smith KS. Machining dynamics: frequency response to improved productivity, 2008, Berlin: Springer Science & Business Media

[35] Vnukov Y, Djadja S, Kozlova E, et al. Analyses of contact features of cutting tool and detail in cylindrical end milling. J Eng Sci, 2014, 4: 1-7.

[36] Insperger T. Full-discretization and semi-discretization for milling stability prediction: some comments. Int J Mach Tools Manuf, 2010, 50: 658-662.

[37] Altintas Y. Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design, 2012, Cambridge: Cambridge University Press

[38] Insperger T, Stépán G. Semi-discretization for time-delay systems: stability and engineering applications, 2011, Berlin: Springer.

[39] Gradišek J, Govekar E, Grabec I, et al. On stability prediction for low radial immersion milling. Mach Sci Technol, 2005, 9: 117-130.

[40] Logominov V, Germashev A, Diadia S et al (2014) Testbench for study of oscillations at final milling of part cylindrical thin-walled elements. UA Patent 94974, 10 Dec 2014

[41] Vnukov Y, Germashev A, Kuchuhurov M et al (2015) Stand for investigation of workpiece oscillating process under cylindrical cutting. UA Patent 103031, 25 Nov 2015