Theoretical study of the curvature of the treated surface during oblique milling with prefabricated milling cutters

OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 5 2 3 Fig. 10. Change of angle x at ξ = 19° and u ∈ [0; 0.61] Fig. 11 demonstrates the position of the milling cutter during the formation of different sections of the wheel tooth surface being machined in accordance with the calculated rotation angles of the milling cutter (fig. 10). In fig. 11, position 1 corresponds to the point of the tooth surface profile u = 0 rad, position 2 corresponds to the point of the tooth surface profile u = 0.44 rad, position 3 corresponds to the point of the tooth surface profile u = 0.61 rad. It follows from fig. 11 that with increase in the curvature of the surface being machined, the rotation angle of the milling cutter becomes larger. Conclusion The established regularities of changing the principal radius of curvature of the surface machined in cross-section in case of the lineby-line machining of extended sections of parts with a curved profile (in particular, convex surface sections of the parts) on multi-axis CNC machines by rotating the milling cutter to ensure the best fit of its generating surface to the machined surface at its point of contact. It also ensures a decrease in an approximation error of the surface profile of the machined surface and improves the processing productivity due to the possibility of increasing the tool approach increment along the formed profile. Fig. 11. Installation of the milling cutter across points of the surface being formed References 1. Wei P.M. Povyshenie effektivnosti konturnoi obrabotki na stankakh s ChPU putem korrektsii traektorii i rezhimov rezaniya. Avtoref. kand. tekhn. nauk [Improving the efficiency of contour machining on CNC machines by correcting the trajectory and cutting modes. Author’s abstract of PhD eng. sci. diss.]. Moscow, 2014. 22 p. 2. Petrakov Y., Shuplietsov D. Contour milling programming technology for virtual basing on a CNC machine. Eastern-European Journal of Enterprise Technologies, 2019, vol. 2, no. 1 (98), pp. 54–60. DOI: 10.15587/17294061.2019.162673. 3. Petrakov Y., Korenkov V., Myhovych A. Technology for programming contour milling on a CNC machine. Eastern-European Journal of Enterprise Technologies, 2022, vol. 2, pp. 55–61. DOI: 10.15587/17294061.2022.255389. 4. Dumitrache A., Borangiu T., Dogar A. Automatic generation of milling toolpaths with tool engagement control for complex part geometry. IFAC Proceedings Volumes, 2020, vol. 43, pp. 252–257. DOI: 10.3182/20100701-2-pt4011.00044. 5. Timiryazev V.A., Khostikoev M.Z., Danilov I.K., Datsko A.G. Upravlenie tochnost’yu konturnoi obrabotki kontsevymi frezami [Precision control of contour machining with end mills]. STIN = Russian Engineering Research, 2020, no. 12, pp. 22–26. (In Russian).

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