Please use this identifier to cite or link to this item:
Title: Mathematical model of a dynamic process of transporting a bulk material by means of a tube scraping conveyor
Authors: Lyashuk, Оleh
Vovk, Yriy
Sokil, Bohdan
Klendii, Volodymyr
Ivasechko, Roman
Dovbush, Taras
Bibliographic description (Ukraine): Lyashuk, O., Y. Vovk, B. Sokil, V. Klendii, R. Ivasechko, and T. Dovbush. 2019. Mathematical model of a dynamic process of transporting a bulk material by means of a tube scraping conveyor. Agricultural Engineering International: CIGR Journal, 21(1): 74–81.
Issue Date: Apr-2019
Date of entry: 26-May-2019
Publisher: Mathematical model of a dynamic process of transporting a bulk material
Country (code): JP
Keywords: mathematical model
bulk medium
Abstract: The results of theoretical studies of simultaneous transporting the components of feed mixtures along the curvilinear paths of tubular conveyors are presented in this article. The mathematical model of a technological process of moving a bulk material (grain) by means of a cable with a connected scraper is proposed. The model is presented as a system of elastic one-dimensional bodies, which are seamlessly moved by a bulk material. Nonlinear differential equations with partial derivatives that describe the dynamics of horizontal and vertical lines of a tube conveyor under the corresponding boundary conditions are deduced. Based on the results, the technique of determining the technological parameters, which ensure the reduction of energy consumption while bulk materials with the given quality of feed mixtures, is proposed.
URL for reference material:
References (Ukraine): Andronov, I. V., and N. S. Bulanova. 1995. Non quasi-linear asymptotics of problems on the oscillations of beams and plates on a nonlinear elastic base. Report. NАS of Ukraine, 9: 28–30. Babakov, I. М. 1965. The Theory of Oscillations. Мoscow, USSR: Nauka Press. Baranovsky, V. M., R. B. Hevko, V. O. Dzyura, O. M. Klendii, M. B. Klendii, and R. M. Romanovsky. 2018. Justification of rational parameters of a pneumoconveyor screw feeder. INMATEH: Agricultural engineering, 54(1):15–24. Blakyer, О. 1969. Analysis of Nonlinear Systems. Мoscow, USSR: Nauka Press. Chen, L., X. Yang, and C. Cheng. 2004. Dynamic stability of an axially accelerating viscoelastic beam. European Journal of Mechanics A/Solids, 23(4): 659–666. Chen, L., B. Wang, and H. Ding. 2009. Nonlinear parametric vibration of axially moving beams: asymptotic analysis and differential quadrature verification. Journal of Physics: Conference Series, 181(1): 012008. Cole, J. 1972. Perturbation Methods in Applied Mathematics. Мoscow, USSR: Mir Publishing.
Hevko, B. M., R. B. Hevko, O. M. Klendii, M. V. Buriak, Y. V. Dzyadykevych, and R. I. Rozum. 2018a. Improvement of machine safety devices. Acta Polytechnica, 58(1): 17–25. Hevko, R. B., O. M. Strishenets, O. L. Lyashuk, I. G. Tkachenko, O. M. Klendii, and V. O. Dzyura. 2018b. Development of a pneumatic screw conveyor design and substantiation of its parameters. INMATEH: Agricultural Engineering, 54(1): 153–160. Hevko, R. B., M. V. Liubin, O. A. Tokarchuk, O. L. Lyashuk, B. V. Pohrishchuk, and O. M. Klendii. 2018c. Determination of the parameters of transporting and mixing feed mixtures along the curvilinear paths of tubular conveyors. INMATEH: Agricultural Engineering, 55(2): 97–104. Hevko, B. М., О. L. Lyashuk, V. М. Stefaniv, О. V. Oleksyshun, R. V. Komar, Ih. B. Hevko, and А. Ye. Diachun. 2010. Flexible cable carriage. Patent No. 54102 (In Ukrainian). Horak, R. M. 2003. A new technology for pipe or tube conveyors. Bulk Solids Handling, 23(3): 174–180. Hu, G., J. Chen, B. Jian, H. Wan, and L. Liu. 2010. Modeling and simulation of transportation system of screw conveyors by the discrete element method. In 2010 International Conf. on Mechanic Automation and Control Engineering (MACE), 927–930. Wuhan, China, 26-28 June. Katterfeld, A., and K. Williams. 2008. Functional analysis of tube chain conveyors, part 1: general design and calculation principles. Bulk Solids & Powder-Science & Technology, 3(1): 23–32. Krause, F., and A. Katterfeld. 2004. Functional analysis of tube chain conveyors. Particle & Particle Systems Characterization: Measurement and Description of Particle Properties and Behavior in Powders and Other Disperse Systems, 21(4): 348–355. Kurant, R. 1964. Equations with Partial Derivatives. Oleynik. Мoscow, USSR: Mir Publishing. Kuzio, І. V., and B. І. Sokil. 2000. Impact of the longitudinal motion on transverse vibrations of nonlinear elastic systems. Vibrations in Engineering and Technology, 14(2): 44–46. Loeffler, F. J. 2000. Pipe/tube conveyors - a modern method of bulk materials transport. Bulk Solid Handl, 20(4): 431–435. Lyashuk, O. L., M. Sokil, Y. Y. Vovk, A. B. Gupka, and O. Marunych. 2018. Torsional oscillations of an auger multifunctional conveyor’s screw working body with consideration of the dynamics of a processed medium continuous flow. Ukrainian Food Journal, 7(3): 499–510. Malinovskiy, V. 2001. Steel Ropes. Odessa, Ukraine: Astroprint. Masood, S. H., B. Abbas, E. Shayan, and A. Kara. 2005. An investigation into design and manufacturing of mechanical conveyors systems for food processing. The International Journal of Advanced Manufacturing Technology, 25(5-6):
Content type: Article
Appears in Collections:Наукові публікації працівників кафедри автомобілів

Files in This Item:
File Description SizeFormat 
4807-22945-1-PB.pdf412,79 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Admin Tools