CONTROL MODEL FOR SINGLE-TOOL TURNING OPERATIONS

Abstract

This paper presents a control model for single-tool turning operations designed to optimize technological parameters at the design stage. While traditional models focus on determining dimensional errors for various setup configurations, this study addresses the inverse problem: establishing maximum permissible cutting conditions to maximize productivity without compromising specified dimensional accuracy. Given its predominant influence on cutting forces, the feed rate (S) is identified as the primary control parameter. Utilizing a simulation-based approach and the "Maple 7" computer algebra system, a mathematical framework was developed to resolve nonlinear and transcendental equations governing the machining process. The results demonstrate that the required tolerance grade and technological system instability significantly dictate the limit feed rate, with accuracy requirements altering the permissible feed by up to 3.5 times. The developed computer program allows for the automated calculation of optimal feed rates across various technological scenarios, providing a robust tool for enhancing the efficiency of automatic and semi-automatic lathes.

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