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A predictive simulation technique of optimal cuttin g modes in the turning of workpieces made of nickel-based heat-resistant allo ys, different from the well-known ones, is proposed. The impact of various factors on the cutt ing process with the purpose of determining optimal parameters of machining in concordance with certain effectiveness criteria is analyzed in the paper. A mathematical model of optimization, algorithms and computer programmes, visual graphical forms reflecting dependences of th e effectiveness criteria – productivity, net cost, and tool life on parameters of the technologi cal process have been worked out. A nonlinear model for multidimensional functions, “so lution of the equation with multiple unknowns”, “a coordinate descent method” and heuris tic algorithms are accepted to solve the problem of optimization of cutting mode parameters. Research shows that in machining of workpieces made from heat-resistant alloy AISI N072 63, the highest possible productivity will be achieved with the following parameters: cutting speed v = 22.1 m/min., feed rate s=0.26 mm/rev; tool life T = 18 min.; net cost – 2.45 $ pe r hour.

Mathematical simulation and optimization of cutting mode in turning of workpieces made of nickel-based heat-resistant alloy