Mathematical modelling of the axially moving panels subjected to thermomechanical actions
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N. V. Banichuk [1] ; S. Yu. Ivanova [1]
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[1] Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
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- Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 46, Nº. 1, 2018, págs. 101-109
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
The paper is devoted to a stability and out-of-plane deformation analysis of an axially moving elastic web modelled as a panel (a plate undergoing cylindrical deformation). The panel is under homogeneous pure mechanical in-plane tension and thermal strains corresponding to the thermal tension and bending. In accordance with the static approach of stability analysis the problem of out-of-plane thermomechanical divergence (buckling) is reduced to an eigenvalue problem which is analytically solved. This problem corresponds to the case of in-plane thermomechanical tension and zero thermal bending. The general case of deformations induced by combined thermomechanical bending and tension is reduced to nonhomogeneous boundary-value problem and analyzed with the help of Fourier series.
