OBRABOTKAMETALLOV Vol. 27 No. 2 2025 technology – the combined movement of the tool, resulting from translational and rotational motions, forms a helical line; – the pitch of the helix corresponds to the feed per revolution (expressed in mm/rev). During material removal with a boring cutter, a cutting force arises. When this force acts in the radial direction, it causes displacement of the boring cutter. To determine the bending component, we use the formula for calculating the cutting force from the theory of cutting [21]: c P = b s P , where b is the processing depth; s is the thickness of the cut layer; Pc is the specific cutting force. The product of the depth (b) and the thickness (s) gives the geometric area of the cut layer (Sc). Taking into account the kinematics of the cutting process, the region abcd characterizes the area of the cut layer Sc during the movement of the boring cutter in finishing boring of the hole (Fig. 7). The shape of the area abcd is formed by orienting the tool from the initial position I to the final position II, during one revolution with a displacement along the z-axis. As shown in the figure, the shape is formed by the intersection of two circles, which represent the radius of curvature of the cutting insert (Rₚₗ). Thus, it can be concluded that this area is formed by a single circular function (y = f(x)), but at different moments in time. The area of the formed region abcd, according to Fig. 7, will be found as follows: 1 2 3 S S + S S ñ , (1) where S1 is the area under the circular function describing the geometry of the cutting insert within the range from point c to d, mm²; S2 is the area under the circular function describing the geometry of the cutting insert within the range from point b to c, mm²; S3 is the area under the circular function describing the geometry of the cutting insert within the range from point a to b, mm²; Sc is the area of the cut layer of material, depending on the feed per revolution, mm². The selection of the limits of the region abcd for calculating the area of the cut layer is directly related to the quadrants of the circle within which the given function y = f(x) is defined. Thus, taking into account the equation describing the circular function, we obtain: II II 0 0 0 d c b c b a S y R x x y R x x y R x x 2 2 2 2 2 2 0 0 0 ( ) , II II ñ c c c (2) where x0 and y0 are the coordinates of the center of the rounding radius of the plate in the initial position I; x0 II and y 0 II are the coordinates of the center of the rounding radius of the plate in the final position. Fig. 7. Determining the area of the layer to be removed
RkJQdWJsaXNoZXIy MTk0ODM1