NONLINEAR VIBRATION OF HEATED ORTHOTROPIC SANDWICH PLATES AND SHALLOW SHELLS

A system of governing equations for non-linear vibrations of heated sandwich shallow shells is derived using Hamilton's principle in combination with Reissner-Hellinger's variational principle. The system contains four unknown functions which characterize the deflection, the Airy stress function and the shearing displacements. For a rectangular simply supported shallow shell due to a temperature difference between the upper and lower faces and prevented from inplane motions on the contour, the governing time equation is derived by means of a Galerkin procedure applied to the field equation of the vertical motion. Numerical results are shown in the graphs.