A Cost Minimizing at Laser Cutting of Sheet Parts on CNC Machines

Tavaeva, A. F.; Петунин, А. А.; Ukolov, Stanislav; Krotov, Vladimir I.

doi:10.1007/978-3-030-33394-2_33

Cited by 9 publications

(3 citation statements)

References 16 publications

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“…The compare of cutting parameters values in terms of standard cutting and multi-contour cutting application. The cutting cost is calculated by method presented in [20]. The calculation of cutting cost is performed using the example of contours cutting from titanium (3.7034) sheet with various thicknesses on the CNC laser equipment (CO 2 ).…”

Section: Computing Experimentsmentioning

confidence: 99%

Application of Multi-Contour Cutting in Algorithms for Solving the Cutting Path Problem

2021

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The cutting path problem for CNC sheet metal cutting equipment is considered in this article. The method of multi-contour cutting application is described for solving Cutting Path Problem (CPP). The method is to be combine contours in «blocks» (groups) and cutting of several contours is performed by using special cutting techniques (common cut, «chained» cutting) in order to reduce values of cutting tool length and number of piercings compared with standard cutting technique (where only idle path is minimized) The article presents results of solving cutting path problem computing experiments using proposed method (multi-contour cutting with common cut) and algorithm CCP-Relax (in which the standard cutting technique is used). The examples of testing are performed by using several instances from Library CPPLib.

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Section: Computing Experimentsmentioning

confidence: 99%

Application of Multi-Contour Cutting in Algorithms for Solving the Cutting Path Problem

2021

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“…(3) management of routing process and optimization (A.A. Lazarev [9]); (4) problems of obtaining the routes in graphs (H. Fleischner [10]); (5) the routing problem for cutting blanks from sheet material (V.M. Kartak [11], A.A. Petunin [12,13], A.G. Chentsov [14,15], I. Landovskaya [16]).…”

Section: Introductionmentioning

confidence: 99%

Special Type Routing Problems in Plane Graphs

Makarovskikh

Panyukov

2022

Mathematics

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We considered routing problems for plane graphs to solve control problems of cutting machines in the industry. According to the cutting plan, we form its homeomorphic image in the form of a plane graph G. We determine the appropriate type of route for the given graph: OE-route represents an ordered sequence of chains satisfying the requirement that the part of the route that is not passed does not intersect the interior of its passed part, AOE-chain represents OE-chain consecutive edges which are incident to vertex v and they are neighbours in the cyclic order O±(v), NOE-route represents the non-intersecting OE-route, PPOE-route represents the Pierce Point NOE-route with allowable pierce points that are start points of OE-chains forming this route. We analyse the solvability of the listed routing problems in graph G. We developed the polynomial algorithms for obtaining listed routes with the minimum number of covering paths and the minimum length of transitions between the ending of the current path and the beginning of the next path. The solutions proposed in the article can improve the quality of technological preparation of cutting processes in CAD/CAM systems.

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“…In the process of cutting sheet materials into figured parts, one of the most important stages is the construction of the path of the cutting tool. Optimization of the path of the cutting tool can reduce the cost of cutting and improve the quality of the resulting parts [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Digital twin of the process of thermal cutting of flat material into figured parts

Verkhoturov¹,

Verkhoturova²,

Zaripov³

et al. 2021

3rd International Workshop on Information, Computation, and Control Systems for Distributed Environments 2021

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The designing a digital twin of the process of the thermal cutting of sheet material using laser or gas equipment for its figure cutting is considered. The solution to the problem of optimizing the path of the cutting tool taking into account the thermal effects on the material to be cut is discussed. The solution of the problem of modeling the temperature change of the material to be cut is considered on the basis of a discrete - logical representation of information about the state of the technological system of sheet cutting. The results of a computational experiment are presented.

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A Cost Minimizing at Laser Cutting of Sheet Parts on CNC Machines

Cited by 9 publications

References 16 publications

Application of Multi-Contour Cutting in Algorithms for Solving the Cutting Path Problem

Application of Multi-Contour Cutting in Algorithms for Solving the Cutting Path Problem

Special Type Routing Problems in Plane Graphs

Digital twin of the process of thermal cutting of flat material into figured parts

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