Abstract
The paper presents an analysis of three-dimensional surface topography of side and side out in tooth space flanks of cylindrical gear machined after hobbing and chiselling by Fellows method. The parameters and functions of surface topography as well as spectral analysis were used. Primary surface topography after extraction of involute tooth profile was analysed. It was found that contour maps of areal power spectral density and autocorrelation functions were very useful for the analysis of teeth flank surface topography. The angular plot of areal power spectral density function assures proper description of surface, background and defects directionalities. Surface texture parameter SPtr and isotropy index Spiso are useful for quantitative surface topography analysis. Good distribution functions of amplitudes and summit curvatures isolate surface roughness height and shape. It was proved using a kinematical–geometric digital model of machining simulation in 3D system, universal generalised model and experimental investigations that the roughness height and roughness spacing were smaller for the tooth point surface than for the root surface after hobbing and Fellows chiselling. Roughness height of tooth profile after machining by one-coil cutter with great axial feed and by modular gear-sharper cutter is smaller than roughness height of tooth line. Inverse dependencies take place after hobbing by three-coil cutter with small axial feed. It was also found that flank teeth surface topography, primary profile along teeth height and teeth line along its width were quasi-periodic. In all the analysed cases, teeth flank surfaces going to the machining have higher roughness height than surfaces going out from the machining. It was probably caused by direction of chips runout; chips damage surface going into the machining. The flank tooth surfaces of a gear made by hobbing and Fellows-chiselling method are anisotropic and strongly oriented along the helix. The orientation of the flank surfaces after hobbing is considerably lower than after Fellows chiselling.
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References
Childs TH (1993) Dry and boundary lubricated sliding friction and wear for engine component materials. In: Taylor CM (ed) Engine tribology. Elsevier, Amsterdam, pp 51–74
Dwyer-Joyce R, Hamer JC, Hutchinson JM, Ioannides E, Sayles RS (1991) A pitting fatigue model for gear tooth surfaces. In: Dowson D, Taylor CM, Godet M (eds) Vehicle tribology. Tribology series 18. Elsevier, Amsterdam, pp 391–400
Whitehouse DJ (1994) Handbook of surface metrology. Institute of Physics, Bristol and Philadelphia
Thomas TR (1999) Rough surfaces, 2nd edn. Imperial College Press, London
Whitehouse DJ (2001) Function maps and the role of surfaces. Int J Mach Tools Manufact 41:1847–1861 doi:10.1016/S0890-6955(01)00049-9
Nowicki B (1991) Geometrical structure, Surface roughness and waviness, WNT, Warsaw (in Polish)
Dong WP, Sulivan PJ, Stout KJ (1994) Comprehensive study of parameters for characterising 3D surface topography. III: Parameters for characterising amplitude and some functional properties. Wear 178:29–43 doi:10.1016/0043-1648(94)90127-9
Mainsah E, Greenwood JA, Chetwynd DG (eds) (2001) Metrology and properties of engineering surfaces. Kluwer, Boston
Whitehouse DJ (1998) Process and quality control using surface finish. In 6th IMEKO Symposium, Metrology for quality control in production, Vienna, pp 699–710
Greenwood JA (1996) Contact pressure fluctuations. Proc Instn Mech Engrs 210:281–283
Lu S, Gao Y, Xie T, Xie F, Jiang XQ, Li Z, Wang F (2001) Novel contact/non contact hybrid measurement system for surface topography characterisation. Int J Mach Tools Manufact 41(13–14):2001–2009 doi:10.1016/S0890-6955(01)00064-5
Dong WP, Sulivan PJ, Stout KJ (1994) Comprehensive study of parameters for characterising 3-D surface topography. IV: Parameters for characterising spatial and hybrid properties. Wear 178:45–60 doi:10.1016/0043-1648(94)90128-7
Torrance A (1995) Using profilometry for the quantitative assessment of surface function: PC based software for friction and wear prediction. Wear 181–183:397–404
Li C, Dong S, Zhang G-X (2000) Evaluation of the root-mean square slope of 3D surface topography. Int J Mach Tools Manufact 40:445–454 doi:10.1016/S0890-6955(99)00044-9
Ohlsson R, Wihlborg A, Westberg H (2001) The accuracy of fast 3D topography measurement. Int J Mach Tools Manufact 41(13–14):1899–1907 doi:10.1016/S0890-6955(01)00054-2
Evans CJ, Bryan JB (1999) “Structured”, “textured” or “engineered” surfaces. Ann CIRP 48(2):541–555
Oczo KE, Lubimov V (2003) Geometrical surface structure product specifications. Basis of classification including an atlas of characteristic shaped surfaces. Printing House of Rzeszów University of Technology, Rzeszów (in Polish)
Roques-Carmes C, Bodin N, Monteil G, Quinou JF (2001) Description of rough surfaces using conformal equivalent structure concept. Part 1 Stereological approach. Wear 248(1–2):82–91 doi:10.1016/S0043-1648(00)00563-9
Roques-Carmes C, Bodin N, Monteil G, Quinou JF (2001) Description of rough surfaces using conformal equivalent structure concept. Part 2 Numerical approach. Wear 248(1–2):92–99
Reddy HS, Raja J, Chen K (1998) Characterization of surface texture generated by multi-process manufacture. Int J Mach Tools Manufact 38(5–6):529–536 doi:10.1016/S0890-6955(97)00098-9
Michalski J, Pawlus P (1994) Description of honed cylinders surface topography. Int J Mach Tools Manufact 34(2):199–210 doi:10.1016/0890-6955(94)90101-5
Lehmann P, Goch G (2000) Comparison of conventional light scattering and speckle techniques concerning an in-process characterisation of engineered surfaces. Ann CIRP 49(1):419–422
Goch G, Schmitz B, Karpuschewski B, Geerkens J, Reigl M, Sprongl P, Ritter R (1999) Review of non-destructive measuring methods for the assessment of surface integrity: a survey of new measuring methods for coatings, layered structures and processed surfaces. Precis Eng 23:9–33 doi:10.1016/S0141-6359(98)00021-X
Xiao L, Rosén B-G, Amini N, Nilsson Per H (2003) A study on the effect of surface topography on rough friction in roller contact. Wear 254:1162–1169 doi:10.1016/S0043-1648(03)00329-6
Amini N, Rosén B-G, Westberg H (1998) Optimization of gear tooth surfaces. Int J Mach Tools Manufact 38(5):425–435 doi:10.1016/S0890-6955(97)00086-2
Batalha GF, Stipkovic Filho M (2001) Quantitative characterization of the surface topography of cold rolled sheets—new approaches and possibilities. J Mater Process Technol 113:732–737 doi:10.1016/S0924-0136(01)00607-0
Kim DE, Cha KH, Sung IH (2002) Design of surface microstructures for friction control in micro-system applications. Ann CIRP 51(1):495–498
Cai J, Deana TA, Hu ZM (2004) Alternative die designs in net-shape forging of gears. J Mater Process Technol 150:48–55 doi:10.1016/j.jmatprotec.2004.01.019
Antoniadis A, Vidakis N, Bilalis N (2004) A simulation model of gear skiving. J Mater Process Technol 146:213–220 doi:10.1016/j.jmatprotec.2003.10.019
Kombogiannis K-DS, Antoniadis A, Vidakis N (2002) Gear hobbing cutting process simulation and tool wear prediction models. ASME J Manufac Sci Eng 124(1):42–51 doi:10.1115/1.1430236
Radzevich SP (2007) A way to improve the accuracy of hobbed involute gears. ASME J Mech Des 129(3):1076–1085 doi:10.1115/1.2761919
Vasilis D, Nectarios V, Aristomenis A (2007) Advanced computer aided design simulation of gear hobbing by means of three-dimensional kinematics modeling. ASME J Manuf Sci Eng 129(4):911–918 doi:10.1115/1.2738947
Tsay C-B, Liu W-Y, Chen Y-C (2000) Spur gear generation by shaper cutters. J Mater Process Technol 104:271–279 doi:10.1016/S0924-0136(00)00570-7
Pijanowski H (2003) Research of exploitation properties of gear-cutting hobs during cylindrical gears diagonal hobbing. PhD thesis, Pozna University of Technology, Pozna (in Polish)
Britton RD, Elcoate CD, Alanou MP, Evans HP, Snidle RW (2000) Effect of surface finish on gear tooth friction. ASME J Tribol 122:354–360 doi:10.1115/1.555367
Su D, Wakelam M, Jambunathan K (2000) Integration of a knowledge-based system, artificial neural networks and multimedia for gear design. J Mater Process Technol 107:53–59 doi:10.1016/S0924-0136(00)00716-0
Das AK (1999) Technological heredity in spur gear manufacturing. J Mater Process Technol 91:66–74 doi:10.1016/S0924-0136(98)00432-4
Litvin FL (1997) Development of gear technology and theory of gearing. NASA RP 1406, Washington
Wójcik Z (1991) Toothing treatment. In: Górski E. et al. (ed) Engineer’s guide-book, vol. 1 Machining. WN-T, Warsaw, Chapter XIII, pp 689–867 (in Polish)
Michalski J, Skoczylas L (2008) Modelling the tooth flanks of hobbed gears in the CAD environment. Int J Adv Manuf Technol 36(7–8):746–751
Santos JABO, Sales WF, Santos SC, Machado AR, Silva MB, Bonney J, Ezugwu EO (2007) Tribological evaluation of TiN and TiAlN coated PM-HSS gear cutter when machining 19MnCr5 steel. Int J Adv Manuf Technol 31(7–8):629–637 doi:10.1007/s00170-005-0242-3
Brammertz PH (1961) Die Entstehung der Oberflächenrauheit beim Feindrehen. Industrie-Anzeiger, Essen 2:25–32
Wawrziniak W, Strelow B (1980) Raindrehen gerätebautypischer Werkstoffe mit hochharten Schneidstoffen. Feingerätetechnik 29(8):360–361
Shaw MC (1984) Metal cutting principles. Oxford University Press, New York
Boothroyd G, Knight WA (1989) Fundamentals of machining and machine tools. New York, Marcel Dekker
Grzesik W (1998) The fundamentals of metal material machine cutting. WN-T Warsaw (in Polish)
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Michalski, J. Surface topography of the cylindrical gear tooth flanks after machining. Int J Adv Manuf Technol 43, 513–528 (2009). https://doi.org/10.1007/s00170-008-1737-5
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DOI: https://doi.org/10.1007/s00170-008-1737-5