OBRABOTKAMETALLOV technology Vol. 25 No. 1 2023 Re Jm The point of convergence Re Jm Intersection point a b Fig. 12. The Mikhailov vector hodograph, a system with h = 0.36: a – the beginning of the Mikhailov vector; b – the enlarged beginning of the Mikhailov vector hodograph Ta b l e 3 The boundary of the cutting system stability h3 (mm) 0.3 0.31 0.32 0.33 0.335 0.342 0.351 0.36 0.375 0.386 n (rev/min) 360 460 660 760 820 900 1.000 1.100 1.200 1.300 h3 (mm) 0.397 0.41 0.43 0.46 0.47 0.44 0.43 0.42 0.418 0.41 n (rev/min) 1.400 1.500 1.560 1.600 1.620 1.680 1.700 1.750 1.800 1.900 Graphically, the interpretation of the data given in Table 3 is shown in Figure 13. From Figure 13 it will be obvious that the area of stable dynamics of the cutting system definitely has a pronounced local maximum at a cutting speed of 1,620 rev/min. It should be noted that the studies conducted in the previous section did not give such a strong maximum (see Figure 5). To verify the proposed assumption about the significant influence of the force response transformation from the cutting process on the forming motion of the tool, we consider the forces at the same processing speeds as in the previous case. As it can be seen from Figure 14, with the increase in the wear of the cutting wedge of the tool, there is a significant restructuring of the force response of the cutting system, the Fx component increases by 5 %, the Fy component increases by 32 %, and Fz by 14 %. Thus, the studies have shown that the increase in the pushing force, with the inevitable increase in the processing speed and the increase in the contact temperature, leads to a restructuring of the force response and a limitation of the stability area of the cutting system to the right of the local minimum.
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