Mathematical simulation and optimization of cutting modes in turning of titanium alloy workpieces

A predictive modeling technique of optimal cutting modes in machining of workpieces made of titanium alloys, different from the well-known ones, is offered. The influence of various factors on the process of cutting for the purpose of defining optimal parameters of machining in accordance with certain effectiveness criteria is examined in the present paper. Mathematical models of optimization, algorithms and computer programmes, visual graphical forms presenting dependences of effectiveness criteria on the master schedule parameters have been worked out. Verification of mathematical models in laboratory and working conditions has been carried out

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

A predictive simulation technique of optimal cutting modes in turning of workpieces made of nickelbased heat-resistant alloys, different from the wellknown ones, is proposed. The impact of various factors on the cutting process with the purpose of determining optimal parameters of machining in concordance with certain effectiveness criteria is analyzed in the paper. Mathematical model of optimization, algorithms and computer programmes, visual graphical forms reflecting dependences of the effectiveness criteria- productivity, net cost, and tool life on parameters of the technological process have been worked out

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

A predictive simulation technique of optimal cutting modes in the turning of workpieces made of nickel-based heat-resistant alloys, different from the well-known ones, is proposed. The impact of various factors on the cutting 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 the effectiveness criteria - productivity, net cost, and tool life on parameters of the technological process - have been worked out. A nonlinear model for multidimensional functions, "solution of the equation with multiple unknowns", "a coordinate descent method" and heuristic 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 N07263, 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 - 2.4