Mathematical Model of Cut Layer at Intensive Profile Milling of Workpieces

  • V. G. Gusev
  • A. A. FominEmail author
  • V. A. Saldaev
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The tendency of development of mechanical processing of materials is considered, and the continuous increase of cutting and feeding speeds is noted during the removal of stock. The increase in cutting modes by one or two orders leads to the inadequacy of the existing mathematical models of the parameters of the cut layer, and to a significant discrepancy between the calculation results and the experimental data. To improve the design of intensive technological processes, new mathematical models for calculating the parameters of the cut layer, suitable for cylindrical, profile milling of wood, are developed in the article providing the adequate results of calculations regardless of the level of the assigned cutting modes. The graphs of the dependence of the parameters of the cut layer on independent factors characterizing the intensive milling modes are presented, they are necessary for the development of intensive technological processes of cylindrical and profile milling.


Profile milling Chip thickness Mathematical model Shaped cutter Machined surface Depth of cutting Cutting speed 


  1. 1.
    Azemović E, Horman I, Busuladžić I (2014) Impact of planing treatment regime on solid fir wood surface. Procedia Eng 69:1490–1498CrossRefGoogle Scholar
  2. 2.
    Novák V, Rousek M, Kopecký Z (2011) Assessment of wood surface quality obtained during high speed milling by use of non-contact method. Drvna Industrija 62(2):105–113CrossRefGoogle Scholar
  3. 3.
    Drapalyuk MV et al (2016) Modeling the digging process of tree root system by the mechanism with hydropulse drive. IOP Conf Ser Mater Sci Eng 142:012090. Scholar
  4. 4.
    Young RD, Vorburger TV, Teague EC (1980) In-process and on-line measurement of surface finish. CIRP Ann Manuf Technol 29(1):435–440. Scholar
  5. 5.
    Ovcharenko VE, Mokhovikov AA, Ignat’ev AS (2013) Influence of surface nanostructure on the life of cermet in metal cutting. Steel Transl 43:348. Scholar
  6. 6.
    Fomin AA (2017) Microgeometry of surfaces after profile milling with the use of automatic cutting control system. In: Proceedings of 2017, ICIEAM 2017, art. no. 8076117.
  7. 7.
    Ohuchi T, Murase YJ (2005) Milling of wood and wood-based materials with a computerized numerically controlled router IV: development of automatic measurement system for cutting edge profile of throw-away type straight bit. Wood Sci 51:278. Scholar
  8. 8.
    Stepanov VV et al (2017) Composite material for railroad tie. Solid State Phenom 265:587–591. Scholar
  9. 9.
    Safin RG et al (2017) Technology of wood waste processing to obtain construction material. Solid State Phenom 265:245–249. Scholar
  10. 10.
    Ovcharenko VE, Ivanov KV, Ivanov YF et al (2017) Modification of the structural-phase state of the surface layer of a cermet composite under electron beam irradiation in inert gas plasmas. Russ Phys J 59:2114. Scholar
  11. 11.
    Gusev VG, Fomin AA, Sadrtdinov AR (2017) Dynamics of stock removal in profile milling process by shaped tool. Procedia Eng 206:279–285CrossRefGoogle Scholar
  12. 12.
    Su X et al (2016) Predictive model of milling force for complex profile milling. Int J Adv Manuf Technol 87(5):1653–1662. Scholar
  13. 13.
    Timerbaev NF et al (2017) Application of software solutions for modeling and analysis of parameters of belt drive in engineering. IOP Conf Ser Earth Environ Sci 87(8):082047. Scholar
  14. 14.
    Banerjee A, Feng HY, Bordatchev EV (2012) Geometry of chip formation in circular end milling. Int J Adv Manuf Technol 59:21. Scholar
  15. 15.
    Timerbaev NF, Sadrtdinov AR, Safin RG (2017) Software systems application for shafts strength analysis in mechanical engineering. Procedia Eng 206:1376–1381. Scholar
  16. 16.
    Prosvirnikov DB et al (2017) Mechanization of continuous production of powdered cellulose technology. IOP Conf Ser Mater Sci Eng 221(1):012010. Scholar
  17. 17.
    Popov IA et al (2015) Cooling systems for electronic devices based on the ribbed heat pipe. Russ Aeronaut (Iz VUZ) 58(3):309–314CrossRefGoogle Scholar
  18. 18.
    Song G, Li J, Sun J (2013) Approach for modeling accurate undeformed chip thickness in milling operation. Int J Adv Manuf Technol 68:1429. Scholar
  19. 19.
    Fomin AA (2017) Determining undeformed chip thickness models in milling and its verification during wood processing. Solid State Phenom 265:598–605CrossRefGoogle Scholar
  20. 20.
    Banerjee A, Feng HY, Bordatchev EV (2012) Geometry of chip formation in circular end milling. Int J Adv Manufact Technol 59(1–4):21–35. Scholar
  21. 21.
    Prosvirnikov DB et al (2017) Modeling of delignification process of activated wood and equipment for its implementation. IOP Conf Ser Mater Sci Eng 221(1):012009. Scholar
  22. 22.
    Timerbaev NF et al (2017) Gas purification system modeling in fatty acids removing from soapstock. In: Proceedings of 2017, ICIEAM 2017, art. no. 8076418.
  23. 23.
    Gusev VG, Fomin AA (2017) Multidimensional model of surface waviness treated by shaping cutter. Procedia Eng 206:286–292CrossRefGoogle Scholar
  24. 24.
    Fomin AA, Gusev VG (2013) Safe machining of blanks with nonuniform properties. Russ Eng Res 33(10):602–606. Scholar
  25. 25.
    Prosvirnikov DB et al (2017) Modelling heat and mass transfer processes in capillary-porous materials at their grinding by pressure release. In: Proceedings of 2017, ICIEAM 2017, art. no. 8076443.
  26. 26.
    Popov IA, Shchelchkov AV, Gortyshov YF et al (2017) Heat transfer enhancement and critical heat fluxes in boiling of microfinned surfaces. High Temp 55(4):537–548. Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Vladimir State UniversityVladimirRussia
  2. 2.Kazan State Power Engineering UniversityKazanRussia

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