Dynamics of Thermoelastic Geometric Irregular Plate S.P. Timoshenko, Symmetrically Strengthened by Ribs

The paper presents a mathematical model of oscillations of a preheated orthotropic plate reinforced with stiffeners. The paper is based on a continuum model of a geometrically irregular plate. Equations, boundary and initial conditions are derived from the Ostrogradsky-Hamilton variational principle. The kinematic hypothesis of S.P. Timoshenko is used. The analysis of the natural frequencies of plate oscillations is performed for various geometric and thermomechanical parameters.