Abstract
This chapter covers the various free-form surface flank milling strategies available, focusing in particular on those for ruled surfaces as widely used in defining turbomachine parts. All these positionings seek to reduce interference between the cutting tool and the surface to be milled so as to respect the tolerances dictated by the Design Office. The range of strategies presented goes from the simplest, using analytical positioning on a particular rule, through to complex procedures defined using global numerical methods that calculate the toolpath in its entirety. Approaches adapted to conical and half-barrel cutter geometries are also addressed. Machining of free-form surfaces is considered from two differing perspectives: either considering a free-form surface to be a set of ruled surfaces onto which the previously mentioned methods are applied, or studying the differential geometry of the cutters and surfaces.
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References
Chaves-Jacob J (2009) Développement d’une méthodologie de réduction des défauts géométriques : application à l’usinage five-axis de composants de turbomachine. Thèse de doctorat. Arts et Métiers ParisTech, Cluny
Chavez-Jacob J, Poulachon G, Duc E (2009) New approach to 5-axis flank milling of free-form surfaces: computation of adaptated tool shape. Comput Aided Des 41:918–929
Rubio W (1993) Génération de trajectoires du centre de l’outil pour l’usinage de surfaces complexes sur machines à trois et cinq axes. Thèse de doctorat, Université Paul Sabatier Toulouse, France
Liu XW (1995) Five axis NC cylindrical milling of sculptured surfaces. Comput Aided Des 27:887–894
Stute G, Storr A, Sielaff W (1979) NC programming of ruled surfaces for five axis machining. Annals of the CIRP 28:267–271
Bedi S, Mann S, Menzel C (2003) Flank milling with flat end milling cutter. Comput Aided Des 35:293–300
Redonnet JM, Rubio W, Dessein G (1998) Side milling of ruled surfaces-Optimum positioning of the milling cutter and calculation of interference. Int J Adv Manuf Technol 14:459–465
Monies F, Rubio W, Redonnet JM, Lagarrigue P (2001) Comparative study of interference caused by standard and improved positioning of a conical milling cutter working on a ruled surface. J Eng Manuf (Part B) 215:1305–1317
Senatore J, Monies F, Redonnet JM, Rubio W (2005) Analysis of improved positioning in five-axis ruled surface milling using envelope surface. Comput Aided Des 37:989–998
Senatore J (2007) Analyse qualitative des parametres influents pour la planification des trajectoires sur surfaces gauches. Thèse de doctorat, Université Paul Sabatier Toulouse, France
Senatore J, Monies F, Landon Y, Rubio W (2008) Optimising positioning of the axis of a milling cutter on an offset surface by geometric error minimisation. Int J Adv Manuf Technol 37:861–871
Monies F, Redonnet JM, Rubio W, Lagarrigue P (2000) Improved positioning of a conical mill for machining ruled surfaces: application to turbine blade. J Eng Manuf (Part B) 214:625–634
Monies F (2001) Positionnement hors interférence pour l’usinage en bout et en roulant des surfaces gauches. Thèse de doctorat, Université Paul Sabatier Toulouse, France
Monies F, Felices JN, Rubio W, Redonnet JM, Lagarrigue P (2002) Five-axis NC milling of ruled surfaces: optimal geometry of a conical tool. Int J Prod Res 40:2901–2922
Peternell M, Pottmann H, Steiner T, Zhao H (2005) Swept volumes. Comput Aided Des Appl 2:599–608
Abdel-malek K, Yeh HJ (1997) Geometric representation of the swept volume using Jacobian rank-deficiency conditions. Comput Aided Des 29:457–468
Li C, Bedi S, Mann S (2005) Error measurements for flank milling. Comput Aided Des 37:1459–1468
Chiou JCJ (2004) Accurate tool position for five-axis ruled surface machining by swept envelope approach. Comput Aided Des 36:967–974
Lee JJ, Suh SH (1998) Interference-free tool-path planning for flank milling of twisted ruled surfaces. Int J Adv Manuf Technol 14:795–805
Menzel C, Bedi S, Mann S (2004) Triple tangent flank milling of ruled surfaces. Comput Aided Des 36:289–296
Li C, Bedi S, Mann S (2006) Flank milling of a ruled surface with conical tools–an optimization approach. Int J Adv Manuf Technol 29:1115–1124
Gong H, Cao LX, Liu J (2005) Improved positioning of cylindrical cutter for flank milling ruled surface. Comput Aided Des 37:1205–1213
Elber G (1995) Model fabrication using surface layout projection. Comput Aided Des 27:283–291
Elber G, Russ F (1997) 5-axis freeform surface milling using piecewise ruled surface approximation. ASME J Eng Ind 119:383–387
Chu CH, Chen JT (2006) Tool path planning for five-axis flank milling with developable surface approximation. Int J Adv Manuf Technol 29:707–713
Tsai WL, Wang CCL, Chu CH, Tang K (2008) Optimal quadrangulation of a strip for flank milling. Comput Aided Des Appl 5:307–315
Marciniak K (1987) Influence of surface shape on admissible tool positions in five-axis face milling. Comput Aided Des 19:233–236
Marciniak K (1991) Geometric Modelling for Numerically Controlled Machining. Oxford Science Publications, New York
Gong H, Cao L, Liu J (2008) Second order approximation of tool envelope surface for 5-axis machining with single point contact. Comput Aided Des 40:604–615
Gong H, Fang FZ, Hu XT, Cao L, Liu J (2010) Optimization of tool positions locally based on the BCELTP for 5-axis machining of free-form surfaces. Comput Aided Des 42:558–570
Lartigue C, Duc E, Affouard A (2003) Tool path deformation in 5-axis flank milling using envelope surface. Comput Aided Des 35:375–382
Pechard PY (2009) Génération de trajectoires d’usinage grande vitesse 5 axes par flanc d’outil: intégration d’un critère de fluidité. Thèse de doctorat, Ecole Normale Supérieure de Cachan, France
Pechard PY, Tournier C, Lartigue C, Lugarini JP (2009) Geometrical deviations versus smoothness in 5-axis high-speed flank milling. Int J Mach Tools Manuf 49:454–461
Xia J, Ge QJ (2000) Kinematic approximation of ruled surfaces using nurbs motions of a cylindrical cutter. Proceeding of DETC’00, ASME 2000 Design Engineering Technical Conferences. Baltimore, Maryland
Zhang XM, Zhu LM, Zheng G, Ding H (2010) Tool path optimisation for flank milling ruled surface based on the distance function. Int J Prod Res 48:4233–4251
Wu PH, Li YW, Chu CH (2008) Optimized tool path generation based on dynamic programming for five-axis flank milling of ruled surface. Int J Mach Tools Manuf 48:1224–1233
Larue A, Anselmetti B (2003) Deviation of a machined surface in flank milling. Int J Mach Tools Manuf 14:795–805
Landon Y, Segonds S, Lascoumes P, Lagarrigue P (2004) Tool Positioning Error (TPE) characterisation in milling. Int J Mach Tools Manuf 44:457–464
Senatore J, Landon Y, Rubio W (2008) Analytical estimation of error in flank milling of ruled surfaces. Comput Aided Des 40:595–603
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Senatore, J., Moniès, F., Rubio, W. (2012). 5-Axis Flank Milling of Sculptured Surfaces. In: Davim, J. (eds) Machining of Complex Sculptured Surfaces. Springer, London. https://doi.org/10.1007/978-1-4471-2356-9_2
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DOI: https://doi.org/10.1007/978-1-4471-2356-9_2
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