Modelling of Cutting Forces in Ball-End Milling

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


Manufacturing multiple freeform surfaces’ parts, viz. dies, moulds, blades, impellers, metal models, etc., is both one of the most time-consuming and difficult methods of machining processes existing today. Since the surfaces subject to machining have various elements and their shapes are very complex, the material layer removed at the machining process is uneven. The main parameters influencing the surface quality are the values and the directions of normal and tangential components of the cutting force described in the paper. A set of equations stating the interrelation between the normal component of the cutting force and the geometrical parameters of the cutting zone is given. The analytical and later numerical solution of the set of equations allows mathematical modelling of the force parameters during freeform surface machining, which, consequently, will allow for the further investigation concerning mathematical modelling of a surface topology and, as a result, prediction of the obtaining surface accuracy and roughness.


Freeform surface Surface geometry Machining strategy Cutting force Rotation angle Shear angle Ball-end mills 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.South Urals State UniversityChelyabinskRussia

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