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Optimization of the 2 ½ D Processing Method of Complex Parts, through a Predictive Algorithm for Controlling the Geometric Shape Deviations Resulting from Processing

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Department of Mechanical Technology, Faculty of Technological Equipment, Technical University of Civil Engineering of Bucharest, Bulevardul Lacul Tei 124, 020396 București, Romania
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Department of Industrial Engineering and Management, Faculty of Engineering and Information Technology, George Emil Palade University of Medicine, Pharmacy, Science, and Technology of Targu Mures, 38 Gheorghe Marinescu Street, Targu Mures, 540139 Mures County, Romania
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Department of Business Administration, Faculty of Economic Sciences, Ovidius University of Constanta, Campus, Aleea Universitătii, nr. 1, Corp A, Str. Ion Vodă, nr. 58, 900001 Constanţa County, Romania
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Department of Mechanical Engineering, Faculty of Technology, Institute of Technology and Business in České Budějovice, Okružní 10, 370 01 České Budějovice, Czech Republic
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Department of Electrical Engineering, Automation and Informatics, Faculty of Engineering, Slovak University of Agriculture in Nitra, Trieda Andreja Hlinku 609/2, 949 76 Nitra, Slovakia
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Department of Manufacturing Engineering, Faculty of Mechanical Engineering, Technical University of Cluj-Napoca, 400641 B-dul Muncii, no. 103-105, 400114 Cluj-Napoca, Romania
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 59; https://doi.org/10.3390/math8010059
Received: 22 November 2019 / Revised: 25 December 2019 / Accepted: 27 December 2019 / Published: 2 January 2020
This article intends to define a new methodology that allows the processing of complex surfaces in space through processing cycles, in parallel superposed planes—the variant known as generic processing in 2 ½ D—but with predictable control over the deviation from the geometric form of the surface to be processed. The novel methodology consists of identifying the optimal distances between the working planes and the corresponding successive positions so that the deviations from the resulting geometric form fall within the prescribed limits. It is also envisaged that the method will provide facilities in terms of the possibilities for evaluation of deviations from the given form of the surface, and keeping them under control by the stage of elaboration of the numerical control programs. The new optimization is designed to determine the maximum distances between successive processing planes and their position in space, depending on the spatial shape of the surface to be processed. Thus, the aim is to obtain a small number of processing planes with a favorable effect on productivity, but under conditions that respect the tolerances of the surface or the profile, a restriction that otherwise has a negative effect on the same process. View Full-Text
Keywords: manufacturing in 2 ½ D; manufacturing of complex surfaces; optimal manufacturing; numerical control; control of the deviations of geometric forms; mathematical model manufacturing in 2 ½ D; manufacturing of complex surfaces; optimal manufacturing; numerical control; control of the deviations of geometric forms; mathematical model
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MDPI and ACS Style

Rece, L.; Florescu, V.; Modrea, A.; Jeflea, V.; Harničárová, M.; Valíček, J.; Borzan, M. Optimization of the 2 ½ D Processing Method of Complex Parts, through a Predictive Algorithm for Controlling the Geometric Shape Deviations Resulting from Processing. Mathematics 2020, 8, 59.

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