Smoothing strategy for corner of small curvature radius by abrasive waterjet machining

Abstract

Abrasive waterjet (AWJ) is widely applied in 2D machining as it offers high machining efficiency and low machining cost. However, machining a 3D surface, especially for a small curvature radius freeform surface (SCRFS), results in over-erosion of the corner, and has been one of the greatest issues of AWJ. To solve this problem, a local smoothing algorithm for SCRFS is developed by the junction of two linear segments at the corner by inserting cubic second-order B-spline to smooth the nozzle path and posture under the setting tolerance error, which is aimed to avoid over-erosion due to the change in dwell time. Analytical solutions of the smooth corner position and orientation of the nozzle path are obtained by evaluating a synchronization algorithm. According to the set tolerance error of the nozzle position and orientation, the interpolation of the smooth path of the corner meets the constraint conditions of the linear feed drive. Path simulation and experimental results show that the proposed method is validated by the experimental results and has been applied to the integral blisk machining of an aero-engine.

Keywords

5-axis / Cubic B-splines / Overcut / Abrasive waterjet (AWJ) / Corner smoothing

References

[1] Lazoglu I, Manav C, Murtezaoglu Y. Tool path optimization for free form surface machining. CIRP Ann Manuf Technol, 2009, 58: 101-104.

[2] Zhang JY, Yao CF, Cui MC, et al. Three-dimensional modeling and reconstructive change of residual stress during machining process of milling, polishing, heat treatment, vibratory finishing, and shot peening of fan blade. Adv Manuf, 2021, 9: 430-445.

[3] Toubhans B, Fromentin G, Viprey F, et al. Machinability of inconel 718 during turning: Cutting force model considering tool wear, influence on surface integrity. J Mater Process Technol, 2020, 285: 116809.

[4] Lotfi M, Amini S, Al-Awady IY. 3D numerical analysis of drilling process: heat, wear, and built-up edge. Adv Manuf, 2018, 6: 204-214.

[5] Gavalda DO, Garcia LG, Liao Z, et al. The new challenges of machining ceramic matrix composites (CMCs): review of surface integrity. Int J Mach Tools Manuf, 2019, 139: 24-36.

[6] Liu XF, Wang WH, Jiang RS, et al. Tool wear mechanisms in axial ultrasonic vibration assisted milling in-situ TiB2/7050Al metal matrix composites. Adv Manuf, 2020, 8: 252-264.

[7] Kumar R, Sahoo AK, Mishra PC, et al. Comparative investigation towards machinability improvement in hard turning using coated and uncoated carbide inserts: part I experimental investigation. Adv Manuf, 2018, 6: 52-70.

[8] Kalantari O, Jafarian F, Fallah MM. Comparative investigation of surface integrity in laser assisted and conventional machining of Ti-6Al-4 V alloy. J Manuf Process, 2021, 62: 90-98.

[9] Hlaváč LM, Bańkowski D, Krajcarz D, et al. Abrasive waterjet (AWJ) forces—indicator of cutting system malfunction. Materials (Basel), 2021, 14: 1683.

[10] Spadło S, Bańkowski D, Młynarczyk P, et al. Influence of local temperature changes on the material microstructure in abrasive water jet machining (AWJM). Materials (Basel), 2021, 14: 5399.

[11] Torrubia PL, Billingham J, Axinte DA. Stochastic simplified modelling of abrasive waterjet footprints. Proc R Soc A Math Phys Eng Sci, 2016, 472: 20150836.

[12] Folkes J. Waterjet-an innovative tool for manufacturing. J Mater Process Technol, 2009, 209: 6181-6189.

[13] Wang J. Predictive depth of jet penetration models for abrasive waterjet cutting of alumina ceramics. Int J Mech Sci, 2007, 49: 306-316.

[14] Kong MC, Axinte DA. Capability of advanced abrasive waterjet machining and its applications. Appl Mech Mater, 2012, 110–116: 1674-1682.

[15] Li M, Huang M, Chen Y, et al. Effects of processing parameters on kerf characteristics and surface integrity following abrasive waterjet slotting of Ti6Al4V/CFRP stacks. J Manuf Process, 2019, 42: 82-95.

[16] Zhu YS, Wu J, Lu WZ, et al. Surface formation mechanics and its microstructural characteristics of AAJP of aluminum alloy by using amino thermosetting plastic abrasive. Int J Precis Eng Manuf Green Technol, 2022, 9: 59-72.

[17] Karmiris-Obratański P, Karkalos NE, Kudelski R, et al. On the effect of multiple passes on kerf characteristics and efficiency of abrasive waterjet cutting. Metals (Basel), 2021, 11: 74.

[18] Pahuja R, Ramulu M. Study of surface topography in abrasive water jet machining of carbon foam and morphological characterization using discrete wavelet transform. J Mater Process Technol, 2019, 273: 116249.

[19] Kuo C, Yang J, Wen J. Wear behaviour and sustainability of coated abrasives in grinding of aluminium alloy using minimum quantity lubrication. Int J Precis Eng Manuf Green Technol, 2020, 7: 23-34.

[20] Thongkaew K, Wang J, Li W. An investigation of the hole machining processes on woven carbon-fiber reinforced polymers (CFRPs) using abrasive waterjets. Mach Sci Technol, 2019, 23: 19-38.

[21] Kovacevic R, Fang M. Modeling of the influence of the abrasive waterjet cutting parameters on the depth of cut based on fuzzy rules. Int J Mach Tools Manuf, 1994, 34: 55-72.

[22] Axinte D, Billingham J, Guillerna AB. New models for energy beam machining enable accurate generation of free forms. Sci Adv, 2017, 3: 1-8.

[23] Bilbao-Guillerna A, Axinte DA, Billingham J, et al. Waterjet and laser etching: the nonlinear inverse problem. R Soc Open Sci, 2017, 4: 161031.

[24] Ranjan P, Chaubey P, Suresh P, et al. Current research aspects and trends in abrasive water jet machining: a review. Adv Mech Eng Technol, 2022, 2022: 193-198.

[25] Natarajan Y, Murugesan PK, Mohan M, et al. Abrasive water jet machining process: a state of art of review. J Manuf Process, 2020, 49: 271-322.

[26] Hlaváč LM. Revised model of abrasive water jet cutting for industrial use. Materials (Basel), 2021, 14: 4032.

[27] Karmiris-Obratański P, Karkalos NE, Kudelski R, et al. Experimental study on the correlation of cutting head vibrations and kerf characteristics during abrasive waterjet cutting of titanium alloy. Procedia CIRP, 2020, 101: 226-229.

[28] Axinte DA, Srinivasu DS, Billingham J, et al. Geometrical modelling of abrasive waterjet footprints: a study for 90° jet impact angle. CIRP Ann Manuf Technol, 2010, 59: 341-346.

[29] Yuvaraj N, Kumar MP. Investigation of process parameters influence in abrasive water jet cutting of D2 steel. Mater Manuf Process, 2017, 32: 151-161.

[30] Billingham J, Miron CB, Axinte DA, et al. Mathematical modelling of abrasive waterjet footprints for arbitrarily moving jets: part II—overlapped single and multiple straight paths. Int J Mach Tools Manuf, 2013, 68: 30-39.

[31] Vikram G, Ramesh BN. Modelling and analysis of abrasive water jet cut surface topography. Int J Mach Tools Manuf, 2002, 42: 1345-1354.

[32] Hlaváč LM, Hlaváčová IM, Arleo F, et al. Shape distortion reduction method for abrasive water jet (AWJ) cutting. Precis Eng, 2018, 53: 194-202.

[33] Zhang Y, Zhao M, Ye P, et al. A G4 continuous B-spline transition algorithm for CNC machining with jerk-smooth feedrate scheduling along linear segments. CAD Comput Aided Des, 2019, 115: 231-243.

[34] Tang L, Wang H, Liu Z, et al. A real-time quadrotor trajectory planning framework based on B-spline and nonuniform kinodynamic search. J F Robot, 2021, 38: 452-475.

Funding

NSFC-Liaoning Joint Fund(U1708256)

Fundamental Research Funds for the Central Universities http://dx.doi.org/10.13039/501100012226(DUT18GF104)

Joint Fund of MOE and GAD(6141A02022133)