Continuous-Discrete Boundary Problems in the Concepts of the Construction of Foundry Rotary-Conveyor Lines

Volodymyr Doroshenko, Volodymyr Kravchenko, Olena Mul, Olena Tokova

Abstract


The problem of mathematical construction for the process of the control of the metal casting crystallization and cooling in a foundry mold is considered. The casting is surrounded by a layer of sand mixture, which is a porous dispersed medium that conducts heat, in terms of the concepts of the construction of foundry rotary-conveyor lines (RCL). The problem of developing an interval model for determining the speed of the conveyor line from the production of metal castings is studied. Herewith, continuous processes of the transport and technological movement of the processed materials, equipment, tools, energy carriers, and final production output are combined with inevitable stops of this continuity, which lead to discreteness, and a combination with a number of accompanying continuous, discrete or reciprocating processes. The adequacy of the model for the given technological parameters is justified. The mathematical description and agreement of the values of technological parameters for regulation and finding the optimal speed of the conveyor line at the interaction of its component rotational systems, as well as the mathematical models for program control and remote monitoring of technological modes in order to obtain the casting of the given quality are considered. The possibility of selecting the corrective parameters for the change of the conveyor line speed is shown.

Tiek skatīta matemātiskās konstrukcijas problēma metāla liešanas kristalizācijas un dzesēšanas kontroles procesam liešanas veidnē. Lējumu ieskauj smilšu maisījuma slānis, kas ir poraini izkliedēts materiāls, kas vada siltumu. Lietojot lietuves rotācijas konveijeru līniju (RCL) koncepciju, tiek pētīta intervāla modeļa izveides problēma konveijera līnijas ātruma noteikšanai metāla lējumu ražošanai. Tajā pašā laikā nepārtraukti apstrādājamo materiālu, iekārtu, rīku, enerģijas nesēju un gala produkcijas transportēšanas un tehnoloģiskās kustības procesi tiek apvienoti ar šīs nepārtrauktības neizbēgamajiem apstāšanās gadījumiem, kas noved pie kombinācijas ar vairākiem nepārtrauktiem, diskrētiem vai pārvietošanās procesiem. Ir pierādīta modeļa piemērotība attiecīgajiem tehnoloģiskajiem parametriem. Tiek parādīta iespēja izvēlēties koriģējošos parametrus konveijera līnijas ātruma maiņai.


Keywords:
Continuous-discrete boundary problems; domains of control; foundry rotary-conveyor lines; monitoring; structurally heterogeneous environments

Full Text:

 PDF

References


О. I. Shynskiy, “The mechanism of formation of the quality of castings, obtained by lost foam casting (in Russian),” Liteinoye Proizvodstvo, vol. 1, pp. 4–7, 1991.

P. V. Rusakov and О. I. Shynskiy, “The parametric model of the casting process and molding of the casting when feeding the melt to the gasified mold under pressure (in Russian),” Metal and Casting of Ukraine, vol. 9–10, pp. 48–51, 2005.

V. P. Kravchenko, “Determination of solutions for an arbitrary number of their conjugations for the system of ordinary differential equations (in Russian),” Reports of the Academy of Sciences of Ukrainian SSR, vol. 6, pp. 512–514, 1972.

V. P. Kravchenko and N. I. Shut, “On one method for solving problems of thermal conductivity for continuous-discrete rod systems (in Russian),” Inzhenerno-Fizicheskii Zhurnal, vol. 70, no. 2, pp. 290–295, 1996.

A. V. Lykov, “Heat conduction theory (in Russian),” Moscow: Vysshaya Shkola, 1967.

A. M. Formalsky, “Controllability and stability of systems with limited resources (in Russian),” Moscow: Nauka, 1974.

A. G. Ivakhnenko, “Inductive method of self-organizing models of complex systems (in Russian),” Kyiv: Naukova Dumka, 1982.

О. I. Ponomarenko, Т. V. Lysenko, А. L. Stanovskiy and О. I. Shynskiy, “Control of casting systems and processes (in Russian),” Kharkiv: National Technical University “Kharkiv Polytechnic Institute”, 2012.

О. I. Shynskiy, I. A. Shalevskaya and V. O. Shynskiy, “The application of the Pareto principle for assessing the effectiveness of the influence of parameters and foundry objects on the quality of castings when lost foam casting (in Russian)” in Proc. “Casting. Metallurgy. 2018” XIV Intern. Sc. and Practical Conf., pp. 203–204.




DOI: 10.7250/bfpcs.2018.004

Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Volodymyr Doroshenko, Volodymyr Kravchenko, Olena Mul, Olena Tokova

License URL: https://creativecommons.org/licenses/by/4.0/