J. of Mech. Eng., 2019, vol. 22, no. 1, pp. 60-66
|Journal||Journal of Mechanical Engineering|
|Publisher||A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
|ISSN||0131-2928 (Print), 2411-0779 (Online)|
|Issue||Vol. 22, no. 1, 2019 (March)|
Kyrylo V. Maksymenko-Sheiko, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharskyi Str., Kharkiv, 61046, Ukraine), V. N. Karazin Kharkiv National University, (4, Svobody Sq., Kharkiv, 61022, Ukraine), e-mail: firstname.lastname@example.org, ORCID: 0000-0002-7064-2442
Anna I. Morozova, Kharkiv National University of Radio Electronics (14, Nauky Ave., Kharkiv, 61166, Ukraine), ORCID: 0000-0002-7082-4115
The creation of mathematical models for the implementation of 3D printing is of considerable interest, which is associated with the active introduction of 3D printing in various industries. The advantages of using 3D printing are the following: the possibility of making non-standard models, reducing the time to create new prototypes, making simple and low cost products, and using modern super-strength materials. The manufacture of machine components with a screw-type symmetry occurs in various, often very complicated ways to include casting with the subsequent rotary machining, methods of hot deformation, electrophysical and electrochemical methods, etc. Their manufacture on a 3D printer can be very promising. In this paper, the R-functions theory is used for the mathematical and computer modeling of geometric objects with a screw-type symmetry for the case when 3D printing technology is to be implemented. An analytical recording of the objects being designed makes it possible to use alphabetic geometric parameters, complex superposition of functions, which, in turn, allows us to quickly change their structural elements. The working part of many mechanisms for moving a material along a helical rotating surface is a screw. Screws are used instead of wheels in some types of cross-country vehicles or combines. They are an indispensable part in extruders and boring stations. At large enterprises, they are used as a means of transporting bulk materials. Screws are indispensable in the food industry. Among other things, they are used in small arms, where they play the role magazines for cartridges. In this work, we build mathematical and computer models of the variable and constant pitch screws to be implemented on a 3D printer. In order to organize and intensify various processes in power plants and other technical devices, swirling is widely used. Swirling is an effective means of stabilizing the flame in the combustion chambers of gas turbine engines. It is also used to intensify heat and mass transfer in channels; in chemical, petroleum, gas and other industries. This paper considers mathematical and computer models of a screw swirler, locally twisted tube, and complex cross-section twisted tube intended for the implementation on a 3D printer. The process of building a desk lamp with a design in the form of elliptic twisted tori is shown as well.
Keywords: R-functions theory, 3D printing, screw-type symmetry, screw.
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- Khalatov, A. A., Avramenko, A. A., & Shevchuk, V. (2000). Teploobmen i gidrodinamika v polyakh tsentrobezhnykh massovykh sil [Heat transfer and hydrodynamics in the fields of centrifugal mass forces (Vol. 1–4): Swirl flows (Vol. 3)]. Kiyev: Institute of Engineering Thermophysics of NASU, 476 p. (in Russian).
- Rvachev, V. L. (1982). Teoriya R-funktsiy i nekotoryye yeye prilozheniya [The R-functions theory and some of its applications]. Kiyev: Naukova dumka, 552 p. (in Russian).
- Rvachev, V. L. & Sheiko, T. I. (1995). R-functions in boundary value problems in mechanics. Appl. Mech. Reviews, vol. 48, no. 4, pp. 151–188. https://doi.org/10.1115/1.3005099
- Maksimenko-Sheyko, K. V. (2009). R-funktsii v matematicheskom modelirovanii geometricheskikh obyektov i fizicheskikh poley [R-functions in mathematical modeling of geometric objects and physical fields]. Kharkov: IPMash NAN Ukrainy, 306 p. (in Russian).
- Litvinova, Yu. S., Maksimenko-Sheyko, K. V., Sheyko, T. I., & Tolok, A.V. (2016). Analiticheskaya identifikatsiya mashinostroitelnykh detaley s pomoshchyu R-funktsiy [Analytical identification of machine-building parts using R-functions]. Informatsionnyye tekhnologii v proyektirovanii i proizvodstve − Information Technologies in Design and Production, no. 1 (161), pp. 38–44 (in Russian).
- Lisin, D. A., Maksimenko-Sheyko, K. V., Tolok, A. V., & Sheyko, T. I. (2011). R-funktsii v kompyuternom modelirovanii dizayna 3D-poverkhnosti avtomobilya [R-functions in computer simulation of the design of the 3D surface of a car]. Prikladnaya informatika − Journal of Applied Informatics, no. 6 (36), pp. 78−85 (in Russian).
Received 31 January 2019