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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 11, Pages 78–83 (Mi ivm9303)  
Brief communications

Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion

N. V. Banichuka, S. Yu. Ivanovaa, V. S. Afanas'evb

a Ishlinsky Institute for Problems in Mechanics of Russian Academy of Sciences, 101 Vernadskii Ave., bld. 1, Moscow, 119526 Russia
b Moscow State University of Technology “STANKIN”, 3a Vadkovskii Lane, Moscow, 127055 Russia
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Abstract: We consider axial movements of elastic web performing small transversal vibrations. We take into account thermal loadings on the moving web (panel) and determine the critical temperature providing the divergence (non-stability) of thermoelastic panel. We perform an analysis of non-stationary vibrations of the panel. Solving dynamical problem is based on application of Galerkin's method. As an example, we present the analytical solution to the problem of non-stationary thermoelastic panel vibrations for the case of two shape functions.
Keywords: moving materials, thermoelastic panel, divergence, non-stationary vibrations, Galerkin's method.
Funding agency Grant number
Russian Science Foundation 17-19-01247
Received: 09.06.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 11, Pages 69–73
DOI: https://doi.org/10.3103/S1066369X17110093
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: N. V. Banichuk, S. Yu. Ivanova, V. S. Afanas'ev, “Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 11, 78–83; Russian Math. (Iz. VUZ), 61:11 (2017), 69–73
Citation in format AMSBIB
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\paper Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion
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\issue 11
\pages 78--83
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\jour Russian Math. (Iz. VUZ)
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\vol 61
\issue 11
\pages 69--73
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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