Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion

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.