Optimization of the turning operating conditions using exponential and polynomial equations

Author:

Grubyi S.V.1

Affiliation:

1. Bauman Moscow State Technical University

Abstract

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.

Publisher

Bauman Moscow State Technical University

Subject

General Engineering

Reference18 articles.

1. Grubyi S.V. Raschet rezhimov rezaniya dlya operatsiy mekhanicheskoy obrabotki [Calculation of cutting regimes for operation of mechanical processing]. Moscow, Vologda, Infra–Inzheneriya Publ., 2021. 200 p. (In Russ.).

2. Bez’’yazychnyy V.F., Aver’yanov I.N., Kordyukov A.V. Raschet rezhimov rezaniya [Calculation of cutting regimes]. Rybinsk, RGATA Publ., 2009. 185 p. (In Russ.).

3. Gurevich Ya.L., Gorokhov M.V., Zakharov V.I. et al. Rezhimy rezaniya trudnoobrabatyvaemykh materialov [Cutting modes of hard-to-cut materials]. Moscow, Mashinostroenie, 1986. 240 p. (In Russ.).

4. Guzeev V.I., ed. Rezhimy rezaniya dlya tokarnykh i sverlilno-frezerno-rastochnykh stankov s chislovym programmnym upravleniem [Cutting modes for numerically controlled lathes and milling and boring machines]. Moscow, Mashinostroenie Publ., 2007. 364 p. (In Russ.).

5. Grubyi S.V. Matematicheskoe modelirovanie i optimizatsiya mekhanicheskoy obrabotki [Mathematical modelling and optimization of machining]. Moscow, Vologda, Infra-Inzheneriya Publ., 2022. 212 p. (In Russ.).

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