Calculation by convex mathematical programming of the optimum cutting condition when cylindrical milling

Abstract Studies the cost price of milling with different mill types. It is concluded besides the kinematic cutting rate parameters (the number of rotations, the rate of feed, the cutting depth), the geometrical mill parameters (the diameter of the mill, the teeth number), have a great influence in determining the cost price of the cutting process. The technological cutting rate has been simulated by a convex mathematical model, in order to determine the minimal cost price of milling one workpiece; the optimization function, represented by the cost price of cutting and the expressions of the system of the kinematic cutting process parameters (the geometrical magnitude characteristic to the) mill, too. By computer-aid solving of the mathematical model, will result the optimal values of the number of rotations, cutting speed, teeth number and diameter of the mill, cutting depth these will determine the minimum possible cost price of cutting. In this way, it is possible to design the tool, simultaneously with the cutting process of a workpiece.