05. Kalyakulin S.Yu., Kuzmin V.V., Mitin E.V., Suldin S.P., Tyurbeeva T.B. Developing a Mathematical Model of a Part Based on Graphics System Models

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UDK 519.87:004.9

DOI: 10.15507/2658-4123.029.201901.067-076

Developing a Mathematical Model of a Part Based on Graphics System Models

Sergey Yu. Kalyakulin
доцент, Associate Professor, Chair of Mechanical Engineering Technology, Ruzayevka Institute of Engineering, National Research Mordovia State University (68/1 Bolshevistskaya St., Saransk 430005, Russia), Ph.D. (Engineering), ResearcherID: O-6519-2017, ORCID: https://orcid.org/0000-0003-0644-7746, This email address is being protected from spambots. You need JavaScript enabled to view it.

Vladimir V. Kuzmin
Professor, Chair of Information Technology and Computer System, Moscow State University of Technology “STANKIN” (1st Vadkovskiy Pereulok, Moscow 127994, Russia), D.Sc. (Engineering), ResearcherID: V-5405-2017, ORCID: https://orcid.org/0000-0001-6318-8563, This email address is being protected from spambots. You need JavaScript enabled to view it.

Eduard V. Mitin
Associate Professor, Chair of Mechanical Engineering Technology, Ruzayevka Institute of Engineering, National Research Mordovia State University (68/1 Bolshevistskaya St., Saransk 430005, Russia), Ph.D. (Engineering), ResearcherID: V-5383-2017, ORCID: https://orcid.org/0000-0002-9899-3420, This email address is being protected from spambots. You need JavaScript enabled to view it.

Sergey P. Suldin
заведующий, Head, Chair of Mechanical Engineering Technology, Ruzayevka Institute of Engineering, National Research Mordovia State University (68/1 Bolshevistskaya St., Saransk 430005, Russia), Ph.D. (Engineering), ResearcherID: V-5381-2017, ORCID: https://orcid.org/0000-0002-8159-6322, This email address is being protected from spambots. You need JavaScript enabled to view it.

Tatiana B. Tyurbeeva
Associate Professor, Chair of Information Technology and Computer Systems, Moscow State University of Technology “STANKIN” (1st Vadkovskiy Pereulok, Moscow 127994, Russia), Ph.D. (Engineering), ResearcherID: V-5050-2017, ORCID: https://orcid.org/0000-0002-4071-7490, This email address is being protected from spambots. You need JavaScript enabled to view it.

Introduction. The aim of the work is to develop a mathematical model of a part based on a parametric model of graphic systems.
Material and Methods.The review of the status of the question of developing a mathematical model of a part based on graphic systems showed the possibility of controlling the geometric shape of a part through the variables of a parameterized drawing. A proposal was made to use design parameterization in the calculation of the parameters of technological processes in computer-aided design systems.
Results. The article establishes links between the design parameters of the part drawing and tabular values of the variables. The revealed relationships between the parameters in the drawing and the variables in the table make it possible to change the geometric shape of the part by changing the values in the variable table, i.e. the drawing is managed through the table. It is proposed to use this system of work with the parametric drawing in computer-aided design systems for calculating the parameters of technological processes.
Discussion and Conclusion. The tasks solved in this article allow making a step in increasing the level of automation of parameter calculations in computer-aided design systems. The implementation of the developed methodology for constructing mathematical models of parts based on graphic systems will increase the overall level of automation of developing geometric drawings of parts. The implementation of this technique in computer-aided design systems allows automating the calculation of parameters (cutting modes, time norms, technological dimensions on transitions, etc.).

Keywords: technological process, mathematical model, parameterization, CAD, design parameter, geometric drawing

For citation: Kalyakulin S.Yu., Kuzmin V.V., Mitin E.V., Suldin S.P., Tyurbeeva T.B. Developing a Mathematical Model of a Part Based on Graphics System Models. Inzhenernyye tekhnologii i sistemy = Engineering Technology and Systems. 2019; 29(1):67-76. DOI: https://doi.org/10.15507/2658-4123.029.201901.067-076

Contribution of the authors: S. Yu. Kalyakulin – developing the parametric model of the part; V. V. Kuzmin – scientific management, formulation of the research objectives; E. V. Mitin – analyzing literary data; S. P. Suldin – developing a table of variables; Т. B. Tyurbeeva – writing the draft, word processing, editing the text, reviewing the relevant literature.

All authors have read and approved the final version of the paper.

Received 02.04.2018; revised 20.09.2018; published online 29.03.2019

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