Models of Cutting Forces in the Matrix Theory of Multitool Machining Accuracy

Two generalized cutting schemes predetermining the machining error formation mechanism are distinguished: contour machining, when the profile of the machined surface is formed by the corresponding tool path - contour machining; profile machining, when the profile of the machined surface is formed by the corresponding tool profile - shaped tool machining. For the trajectory scheme, the known force relations are generalized to a spatial curvilinear trajectory. Generalized dependencies for the cutting force components of form, slotted, cut-off and groove cutters are derived for the profile scheme. The evaluation of the adequacy of the proposed model for cutting force components is carried out on the basis of a specially conducted experimental research of the profile turning process with direct measurement of forces at different levels of varying technological factors. Thus, the developed dependences of the coordinate components of cutting forces on technological factors (parameters of cutting conditions, strength properties of the processed material, deformation properties of the technological system, etc.) allow using them for the practical application of machining error models in the matrix theory of multitool machining accuracy.