NONLINEAR VIBRATION OF HEATED ORTHOTROPIC SANDWICH PLATES AND SHALLOWSHELLS

A system of governing equations for non-linear vibrations of heated sa ndwich shallow shells is derived using Hamilton's principle in combina tion with Reissner-Hellinger's variational principle. The system conta ins four unknown functions which characterize the deflection, the Airy stress function and the shearing displacements. For a rectangular sim ply supported shallow shell due to a temperature difference between th e upper and lower faces and prevented from inplane motions on the cont our, the governing time equation is derived by means of a Galerkin pro cedure applied to the field equation of the vertical motion. Numerical results are shown in the graphs.