Determination of the optimal metal processing mode when analyzing the dynamics of cutting control systems

OBRABOTKAMETALLOV technology Vol. 25 No. 1 2023 Ta b l e 2 Dependence of Fy on the contact temperature Q, °C 30 40 50 60 70 80 90 100 110 120 130 Fy, kgF 9.5 9.7 10.3 10.9 11.5 12.2 12.8 13.4 13.8 14.3 14.6 The results of experiments to assess the influence of the contact temperature on the value of the force pushing the tool out of the cutting zone, for the case of processing Steel 45, are shown in the table below (Table 2). A graphical representation of the experiment results is shown in Figure 9. As is shown in Figure 9, the expulsive force almost linearly depends on the contact temperature, which is quite understandable from the point of view of the linear nature of metals expansion with the increase in its temperature. The average coefficient of linear increase in the expulsive force with the increase in the contact temperature F Q k , for the case of Steel 45, was 0.05625. Thus, the experiments carried out showed that the expulsive force linearly depends on the temperature of the workpiece, for Steel 45 the coefficient of amplification of the expulsive force was 0.05625. Let’s imagine the dependence of the cutting force on the temperature-speed factor of cutting in the form of a falling exponential dependence of the coefficient ρ on the actual cutting speed, as it is presented in the figure below. 1 0 1 c dz V dt e   −α  −        ρ = ρ  + µ  , (17) Fig. 8. Interface of the stand STD201-1

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