The Stability of Axial Motion of Orthotropic Thermoelastic Plates

Abstract

The translational motion of a thermoelastic web under small transverse deformations is considered. It is assumed that a web moving with a constant translational velocity is described by the model of a thermoelastic orthotropic plate, which is rectangular-shaped in plan and supported at two opposite edges of the span under consideration. The plate is subject to combined thermomechanical loading, which involves purely mechanical planar tension, as well as centrifugal forces and unsteady reactions. The investigation of transverse buckling (divergence) of the orthotropic thermoelastic material using the static method of investigation of the stability is reduced to solving the boundary-value problem on eigenvalues. An example of applying the obtained defining relations in the analytical determination of the critical divergence rate and the corresponding form of stability loss is given.