Thrust force model for ultrasonic-assisted micro drilling of DD6 superalloy

Abstract

As a typical refractory material, the DD6 nickel-based single-crystal superalloy has important applications in the aviation industry. Ultrasonic-assisted drilling is an advanced machining method that significantly improves machining of refractory materials. The drilling thrust force influences the hole surface quality, burr height, and bit wear. Therefore, it is necessary to predict the thrust force during ultrasonic-assisted drilling. However, there are few reports on the modeling of the thrust force in the ultrasonic-assisted drilling of micro-holes. A thrust force prediction model for ultrasonic-assisted micro-drilling is proposed in this study. Based on the basic cutting principle, the dynamic cutting speed, dynamic cutting thickness, and acoustic softening effect caused by ultrasonic vibrations are factored into this model. Through model calibration, the specific friction force and specific normal force coefficients were determined. The model was verified through ultrasonic-assisted drilling experiments conducted at different feed rates, spindle speeds, frequencies, and amplitudes. The maximum and minimum errors of the average thrust force were 10.5% and 2.3%, respectively. This model accurately predicts the thrust force based on the parameters used for ultrasonic-assisted micro-hole drilling and can assist in the analysis and modeling of DD6 superalloy processing.

Keywords

Ultrasonic-assisted drilling / DD6 superalloy / Thrust force model / Dynamic cutting thickness / Acoustic softening effect

References

[1] Gu YL, Li HN, Du BC, et al. Towards the understanding of creep-feed deep grinding of DD6 nickel-based single-crystal superalloy. Int J Adv Manuf Technol, 2019, 100(1/4): 445-455.

[2] Liu DS, Zhang DX, Liang JW, et al. Prediction of creep rupture life of a V-notched bar in DD6 Ni-based single crystal superalloy. Mater Sci Eng, A, 2014, 615: 14-21.

[3] Fang YW, Li YH. Dynamic responses of Nickel-based single crystal superalloy DD6 Blade. J Mater Eng Perform, 2013, 22(6): 1565-1573.

[4] Jin HP, Li JR, Liu SZ (2007) Stress rupture properties of the second generation single crystal superalloy DD6 after high temperature exposure. Mater Sci Forum 546/549:1249–1252

[5] Azim S, Gangopadhyay S, Mahapatra SS, et al. Study of cutting forces and surface integrity in micro drilling of a Ni-based superalloy. J Manuf Process, 2019, 45: 368-378.

[6] Zhou YG, Li HY, Ma LJ, et al. Study on hole quality and surface quality of micro-drilling nickel-based single-crystal superalloy. J Braz Soc Mech Sci Eng, 2020, 42(6): 341.

[7] Makhdum F, Phadnis VA, Roy A, et al. Effect of ultrasonically-assisted drilling on carbon-fibre-reinforced plastics. J Sound Vib, 2014, 333(23): 5939-5952.

[8] Makhdum F, Norddin DNP, Roy A, et al. Ultrasonically assisted drilling of carbon fibre reinforced plastics. Solid State Phenom, 2012, 188: 170-175.

[9] Sanda A, Arriola I, Garcia NV, et al. Ultrasonically assisted drilling of carbon fibre reinforced plastics and Ti6Al4V. J Manuf Process, 2016, 22: 169-176.

[10] Sambhav K, Tandon P, Kapoor SG, et al. Mathematical modeling of cutting forces in microdrilling. J Manuf Sci Eng, 2013, 135(1): 014501.

[11] Rahamathullah I, Shunmugam MS. Mechanistic approach for prediction of forces in micro-drilling of plain and glass-reinforced epoxy sheets. Int J Adv Manuf Technol, 2014, 75(5/8): 1177-1187.

[12] Mittal RK, Yadav S, Singh RK. Mechanistic force and burr modeling in high-speed microdrilling of Ti6Al4V. Procedia CIRP, 2017, 58: 329-334.

[13] Dargnat F, Darnis P, Cahuc O. Energetical approach for semi-analytical drilling modelling. Mach Sci Technol, 2008, 12(3): 295-324.

[14] Paul A, Kapoor SG, De Vor RE. A chisel edge model for arbitrary drill point geometry. J Manuf Sci Eng, 2005, 127(1): 23-32.

[15] Pirtini M, Lazoglu I. Forces and hole quality in drilling. Int J Mach Tools Manuf, 2005, 45(11): 1271-1281.

[16] Gong YP, Lin C, Ehmann KF. Dynamics of initial penetration in drilling: part 1—mechanistic model for dynamic forces. J Manuf Sci Eng, 2005, 127(2): 280-288.

[17] Wu J, Wen JM, Wang ZY. Study on the predicted model and experiment of drilling forces in drilling Ti6Al4V. J Braz Soc Mech Sci Eng, 2016, 38(2): 465-472.

[18] Gao GF, Yuan ZJ, Xia ZW, et al. Study on thrust force of ultrasonic-assisted vibration micro-hole drilling of titanium alloy. Int J Adv Manuf Technol, 2021, 112(11/12): 3399-3413.

[19] Feng Y, Zhang M, Zhu ZH, et al. Axial cutting force prediction model of titanium matrix composites TiBw/TC4 in ultrasonic vibration-assisted drilling. Int J Adv Manuf Technol, 2019, 105(1/4): 121-135.

[20] Wang LP, Wang LJ, He YH, et al. Prediction and computer simulation of dynamic thrust and torque in vibration drilling. Proc Inst Mech Eng Part B J Eng Manuf, 1998, 212(6): 489-497.

[21] Zhang LB, Wang LJ, Liu XY, et al. Mechanical model for predicting thrust and torque in vibration drilling fibre-reinforced composite materials. Int J Mach Tools Manuf, 2001, 41(5): 641-657.

[22] Chang SSF, Bone GM. Thrust force model for vibration-assisted drilling of aluminum 6061-T6. Int J Mach Tools Manuf, 2009, 49(14): 1070-1076.

[23] Yang HJ, Ding WF, Chen Y, et al. Drilling force model for forced low frequency vibration assisted drilling of Ti-6Al-4V titanium alloy. Int J Mach Tools Manuf, 2019, 146.

[24] Flachs JR, Salahshoor M, Melkote SN. Mechanistic models of thrust force and torque in step-drilling of Al7075-T651. Prod Eng Res Devel, 2014, 8(3): 319-333.

[25] Anand RS, Patra K. Mechanistic cutting force modelling for micro-drilling of CFRP composite laminates. CIRP J Manuf Sci Technol, 2017, 16: 55-63.

[26] Anand RS, Patra K, Steiner M, et al. Mechanistic modeling of micro-drilling cutting forces. Int J Adv Manuf Technol, 2017, 88(1/4): 241-254.

[27] Guo DM, Wen Q, Gao H, et al. Prediction of the cutting forces generated in the drilling of carbon-fibre-reinforced plastic composites using a twist drill. Proc Inst Mech Eng Part B J Eng Manuf, 2011, 226(1): 28-42.

[28] Mao Q, Coutris N, Rack H, et al. Investigating ultrasound-induced acoustic softening in aluminum and its alloys. Ultrasonics, 2020, 102.

[29] Yao ZH, Kim GY, Wang ZW, et al. Acoustic softening and residual hardening in aluminum: modeling and experiments. Int J Plast, 2012, 39: 75-87.

[30] Pohlman R, Lehfeldt E. Influence of ultrasonic vibration on metallic friction. Ultrasonics, 1966, 4(4): 178-185.

[31] Nevill GE, Brotzen FR. The effect of vibrations on the static yield strength of a low-carbon steel. Proc Am Soc Testing Mater, 1957, 7(57): 51-58.

Funding

National Natural Science Foundation of China http://dx.doi.org/10.13039/501100001809(51775443)

National Science and Technology Major Project(2017-VII-0015-0111)

China Postdoctoral Science Foundation http://dx.doi.org/10.13039/501100002858(2020M683569)