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Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 7, Pages 67–72 (Mi ivm9377)  

Brief communications

Mechanics of axially moving and vibrating in transverse direction orthotropic thermoelastic web

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

a Ishlinskiy Institute for Problems in Mechanics of Russian Academy of Sciences, 101 Vernadskii blvd., bld. 1, 119526 Russia
b Moscow State University of Technology “STANKIN”, 3a Vadkovskii Lane, Moscow, 127055 Russia

Abstract: We consider deformations and stability of axially moving orthotropic thermoelastic web. The web is modelled by a thin continuous plate moving with a constant velocity with small transverse vibrations and supported by a system of rollers. It is supposed that the plate is subjected to a combined thermomechanical loading including pure mechanical in-plane tension and also centripetal forces. Thermal strains corresponding to thermal tension and bending of the moving plate are taken into account. We formulate and analytically investigate the problem of out-of-plane thermomechanical divergence of orthotropic plate.

Keywords: orthotropy, thermoelastic material, moving plate, loss of stability.

Funding Agency Grant Number
Russian Science Foundation 17-19-01247


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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 58–62

Bibliographic databases:

Document Type: Article
UDC: 539.3
Received: 16.02.2018

Citation: N. V. Banichuk, S. Yu. Ivanova, V. S. Afanas'ev, “Mechanics of axially moving and vibrating in transverse direction orthotropic thermoelastic web”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7, 67–72; Russian Math. (Iz. VUZ), 62:7 (2018), 58–62

Citation in format AMSBIB
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\by N.~V.~Banichuk, S.~Yu.~Ivanova, V.~S.~Afanas'ev
\paper Mechanics of axially moving and vibrating in transverse direction orthotropic thermoelastic web
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 7
\pages 67--72
\mathnet{http://mi.mathnet.ru/ivm9377}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 7
\pages 58--62
\crossref{https://doi.org/10.3103/S1066369X1807006X}
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  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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