Nonlinear Modeling of Heat Distribution during a Concreting Beam, Using a Heating Electric Wire

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Abstract:

In this article unlike existing linear models, a nonlinear differential model is used to describe the nonlinear heat distribution in a reinforced concrete beam using a heating wire. The results of experiments carried out under different heating modes are adequately described with good approximation by the analytical results obtained using the methods of group analysis of differential equations.

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Materials Science Forum (Volume 1082)

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248-253

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March 2023

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© 2023 Trans Tech Publications Ltd. All Rights Reserved

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[1] B.A. Krylov and A.I. Zvezdov, Temperature Influence on Concreting Structures and Its Hardenings International Simposium in Japan E&FN Spook, Wolum Two., 1995, pp.917-925.

Google Scholar

[2] B.A. Krylov, Cold Weather Concreting CRC Press, 1997, p.236.

Google Scholar

[3] V.V. Molodin, Yu.V. Lunev, Concreting of monolithic building structures in winter conditions, Novosibirsk: NGASU (Sibstrin), 2006, p.300.

Google Scholar

[4] L. Bennett, Economic evaluation of cold concrete: report on research, Alaska: Institute of Northern Engineering University of Alaska Fairbanks, 1994, p.95.

Google Scholar

[5] I.Yu Shelekhov, E.I. Smirnov, S.A. Pakulov, M.M. Glavinskaya, Analysis of the production of construction works in the winter period Modern science-intensive technologies. 6 (2017) 99-102.

Google Scholar

[6] Z. Bofang, Construction of mass concrete in winter, Thermal Stresses and Temperature Control of Mass Concrete Butterworth-Heinemann: Tshingua University Press, 2014, p.425–430.

DOI: 10.1016/b978-0-12-407723-2.00020-8

Google Scholar

[7] J. Zach, M. Sedlmajer, J. Hroudova, A. Nevařil, Technology of concrete with low generation of hydration heat, Procedia Engineering. 65 (2013) 296–301.

DOI: 10.1016/j.proeng.2013.09.046

Google Scholar

[8] R. Demirboğa, F. Fatma Karagöl, R. Polat, M.A. Kaygusuz, The effects of urea on strength gaining of fresh concrete under the cold weather, Construction and Building Materials. 64 (2014) 114–120.

DOI: 10.1016/j.conbuildmat.2014.04.008

Google Scholar

[9] V.V. Molodin, Yu.A. Chirkunov, S.N. Shpanko, E.V. Garms, K.E. Gorshkova, D.S. Kasyanova, A.A. Lazarev, S.E. Sarafyan, Nonlinear submodels describing the distribution of heat for winter concreting of the column with the existenxe of an external unstady heat source, News of Higher Educational Institutions, Construction. 12 (2019) 75–86.

DOI: 10.1088/1757-899x/953/1/012027

Google Scholar

[10] Yu.A. Chirkunov, S.V. Khabirov, Elements of Symmetry Analysis of Differential Equations of Continuum Mechanics, Novosibirsk: NSTU, 2012, p.659.

Google Scholar

[11] Yu.A. Chirkunov, Group Analysis of Linear and Quasi–Linear Differential Equations, Novosibirsk: NSUEM, 2007, p.362.

Google Scholar

[12] Yu.A. Chirkunov, Nonlinear dissemination of heat in the inhomogeneous rod under the influence of a non- stationary source of heat with application to the problems of winter concreting, News of Higher Educational Institutions, Construction. 2 (2018) 70–76.

DOI: 10.32683/0536-1052-2018-710-2-70-76

Google Scholar