On the problem of choice of rolling speed in the rolling of Bethlehem beams / Arnashus O.V., Blizorukov M.G., Gorshkov A.V., Kolegova E.D. // Journal of Materials Processing Tech.. - 1994. - V. 41, l. 3. - P. 263-274.

ISSN:
09240136
Type:
Article
Abstract:
In this paper a mathematical model of the beam-rolling process on a stand of a reversing mill is considered. An optimal control algorithm of the stand function is constructed, this algorithm being based on the Maximum Principle of Pontriagin [1] and Bellman's method of dynamic programming [2]. This research was undertaken under the auspices of the Nizhniy Tagil metallurgical state company, with the intention of the findings being used in the 1300 bethlehem beams shop (a "bethlehem beam" is a special type of H-beam with a wide flange, a "1300 bethlehem beam" indicating that the rolling mill has a pinch roller of 1300 mm diameter). © 1994.
Author keywords:
Index keywords:
Algorithms; Dynamic programming; Mathematical models; Maximum principle; Optimal control systems; Speed control; Beam rolling process; Bethlehem beams; Rolling mill practice
DOI:
10.1016/0924-0136(94)90165-1
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0028392818&doi=10.1016%2f0924-0136%2894%2990165-1&partnerID=40&md5=5d0bc14b10da8370bd3fc94cbf5c09d6
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-0028392818&doi=10.1016%2f0924-0136%2894%2990165-1&partnerID=40&md5=5d0bc14b10da8370bd3fc94cbf5c09d6
Affiliations Institute of Engineering Science, Academy of Science of Russia, Ural Division, Ekaterinburg, 620219, Russian Federation
References Pontryagin, Boltjanskii, Gamkrelidze, Miščenko, (1962) The Mathematical Theory of Optimal Processes, , Interscience, N-Y; Bellman, (1957) Dynamic Programming, , Princeton University Press, NJ; Tiagunov, (1954) Regimes of Rolling on Reversible, , Metallurgizdat, Moscow, (in Russian); Makarov, Rolled billet working process optimization (1975) Ph.D. dissertation, , Ural Politechn. Inst, Sverdlovsk, (in Russian); Tiagunov, Shutkin, Clamp and ejection speeds influence on productivity and heat of reversible roll drive (1970) Izv. Vuzov, Chiernaia Metallurgy, 10, pp. 70-72. , (in Russian); Tarnovskiy, Pozdeev, Ganago, Liashkov, (1963) Theory of Metal Treatment by Pressure, , Metallurgy, Moscow, (in Russian); Kolmogorov, Parshakov, Kolegova, Reversible roll main drive optimal control on period between clamping and ejection (1988) Izv. Vuzov, Chiernaia Metallurgy, 2, pp. 50-54. , (in Russian); Kolmogorov, (1986) Mechanics of Metal Forming, , Metallurgy, Moscow, (in Russian); Smirnov, Shilov, Jnatovich, (1987) Roll Pass Design, , Metallurgy, Moscow, (in Russian); Chistov, Bondarenko, Svjatoslavsky, (1968) Electric Drive Optimal Control, , Energy, Moscow, (in Russian); Tselikov, Tomlenov, Zuzin, (1982) Rolling theory Reference book, , etc., Metallurgy, Moscow, (in Russian); Chistov, Bondarenko, Cviatoslavskiy, (1968) Electric Drive Optimal Control, , Energy, Moscow; Artobolevskiy, (1988) Theory of Mechanisms and Machines, , Nauka, Moscow, (in Russian); Hall, Watt, (1976) Modern Numerical Methods for Ordinary Differential Equations, , Clarendon Press, Oxford; Strang, (1976) Linear Algebra and its Applications, , Academic Press, New York; Hirer, Nersett, Vanner, (1987) Solving Ordinary Differential Equations, Nonstiff-problems, , Springer, Berlin; Bazara, Shatty, Nonlinear Programming (1979) Theory and Algorithms, , Wiley, New York; Fedorenko, (1978) Approximate Solution of Optimal Control Problems, , Nauka, Moscow, (in Russian)
Correspondence Address Blizorukov, M.G.; Institute of Engineering Science, Academy of Science of Russia, Ural Division, Ekaterinburg, 620219, Russian Federation
CODEN JMPTE
Language of Original Document English
Abbreviated Source Title J Mater Process Technol
Source Scopus