Development of Mathematical Models for Technological Preparation of Production and Adaptive Control for Turning and Milling in Digital Production Systems

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Introduction. The development of science-intensive solutions for technological providing of stabile output of machined surface quality and working performance of cutting instrument is up-to-date direction of technological process of machining efficiency increase. This problem poses special value for production systems, which use automated equipment; in particular, for digital production systems (DPS), i.e. it is connected with the implementation of “industrie 4.0” concept in industry. Instability of cutting process appears in fluctuation of thermo-load characteristics of chip-forming processes and contact interaction and promotes instability of quality of machined surface and working performance of cutting instrument. Adaptive control allows to ensure output parameters of cutting process stability while the fluctuation of condition of technological system. On the basis of modern CNC equipment abilities the adaptive control of cutting modes suggested in aim to increase the efficiency of technological process of machining. The purpose of the work is the development and justification of mathematical models linking the influence of modes and parameters of machining with the functional and output parameters of turning and milling to be used in technological preparation of production (TPP) and adaptive control of cutting process in DPS. The research methods are: planning of multilevel full-factor experiments due to the analysis of most widely used construction and tool materials, modes and conditions of machining in turning and milling on CNC machine tools, statistic treatment of experiments results and regression analysis, analysis of obtained mathematical models from the points of theory and physical principles of cutting process. The results and discussion. Based on the carried out experimental investigations, development of mathematical models and analysis of obtained results the calculation formulas for definition of arithmetic mean value Ra and mean roughness spacing Sm of machined surface, feed and cutting force in turning and milling are obtained. Listed mathematical models describe patterns of formation of functional and output parameters of machining by cutting and intended for TPP and for adaptive control of modern automated CNC equipment in DPS for machining. Analysis of developed mathematical models found out patterns of formation of machined surface texture and of cutting forces, i.e. tool load, from points of theory of cutting process and temperature-deformational patterns of high-speed plastic deformation.

About the authors

I. R. Alexander

Email: aleing@yandex.ru
Ph.D. (Engineering), JSC «Federal Scientific and Production Center «Titan-Barricady», Lenin av., w/n, Volgograd, 400071, Russian Federation, aleing@yandex.ru

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