Geodesic
Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 78-83

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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, non-stationary vibrations, Galerkin's method.
Mots-clés : divergence 
@article{IVM_2017_11_a8,
     author = {N. V. Banichuk and S. Yu. Ivanova and V. S. Afanas'ev},
     title = {Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {78--83},
     publisher = {mathdoc},
     number = {11},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_11_a8/}
}
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N. V. Banichuk; S. Yu. Ivanova; V. S. Afanas'ev. Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 78-83. http://geodesic.mathdoc.fr/item/IVM_2017_11_a8/