Nonlinear Optimization of Operating Parameters of Turning by the Penalty Function Method

Turning belongs to mechanical processing by cutting where the processing schedule is the main characteristic of the operation. It determines the aggregate parameters of the technological process in a certain period of time. This article examines parametric nonlinear optimization of operating parameters of turning using the internal penalty function, the minimum of which is calculated by Newton method and the gradient descent method. The variable part of the production cost with constraints by the number of parts, surface roughness and cutting power is selected as the objective function. Algorithms are constructed, and a comparative analysis of these methods is performed. Based on the results obtained, it is shown that the optimal values of the operating parameters correspond to the intersection point of the constraint level lines.

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