Optimization of the turning operating conditions using exponential and polynomial equations

The paper considers issues of calculating and optimizing the turning operating conditions applying various methods: sequential calculation using the exponential equations with correction factors, linear programming, nonlinear programming with penalty function and optimal control, including stabilization of the tool wear rate. To implement the developed algorithms, exponential equations were introduced either taken from the reference literature, or those which parameters were calculated based on the simulation results. To calculate the operating conditions using the optimal control algorithms, the previously obtained and calculated polynomial equations were used. It is shown that operating conditions of the control algorithm with the tool wear rate stabilization make it possible to relatively better assess such output indicators as the average cost of processing and technological productivity, while simultaneously ensuring the specified roughness parameter of the machined surface.

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