OBRABOTKAMETALLOV MATERIAL SCIENCE Том 23 № 3 2021 EQUIPMEN . INSTRUM TS Vol. 6 No. 2 2024 Ta b l e 1 Parameters of the tool subsystem h1,1, kg∙s/mm h2,2, kg∙s/mm h3,3, kg∙s/mm h1,2 = h2,1, kg∙s/mm h1,3 = h3,1, kg∙s/mm h2,3 = h3,2, kg∙s/mm 1.3 1.15 0.85 0.36 0.2 0.1 c1,1, kg/mm c2,2, kg/mm c3,3, kg/mm c1,2 = c2,1, kg/mm c1,3 = c3,1, kg/mm c2,3 = c3,2, kg/mm 1.051 955 725 372 113 195 Ta b l e 2 Dynamic link options ρ, kg/mm2 ς, (mm/s)-1 T(0), s μ χ 1 χ2 χ3 350 0.1 0.0005 0.5 0.7 0.5 0.5 а b Fig. 4. Simulation of cutting forces in tangential direction at varying cutting speed: a – feed rate Sp (0) = 0.15 mm/rev; b – S p (0) = 0.25 mm/rev Fig. 4 shows examples of the temporal realization of the cutting forces for a given dynamic system (3)–(4) when the speed parameter V3 (0) is varied taking into account the characteristics of the real vibrational disturbance of the cutting process. It should be noted that when the cutting speed is changed, not only a decrease in the average values of the cutting force is observed, but also a change in the amplitude of the vibration perturbation associated with the non-linear properties of the system, which is manifested in the redistribution of the resonance frequency of the model when the control parameters are changed. According to the periodic changes in the vibration amplitude of the force characteristics, the most optimal values of the cutting speed can be selected, ensuring a high turning performance with the condition of minimising the components of cutting forces and vibrations, as it negatively affects the surface geometry of the machined part V3 (0) = 190 m/min. The final amplitude of the disturbance signal is limited by the maximum amplitude of the disturbances measured directly during the turning process (Fig. 5, b). In the second stage let us consider a simulation of the cutting process dynamics for two variants of part machining modes with Sp (0) = 0.15 mm/rev and S p (0) = 0.25 mm/rev, and the selected optimal cutting speed V3 (0) = 190 m/min (fig. 5, a).
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