The dynamic stability of rectangular plates

Abstract

The purpose of this thesis is to study the dynamic stability of rectangular plates subjected to transverse bending stress, shear stress and transverse and rotary inertia. The proper equations of motion are solved using the classical levy method for a rectangular plate simply supported along two parallel sides. The resulting set of equations are applicable to a particular group of rectangular plate problems subjected to various applied static and dynamic forces with various boundary restraints on the opposite two parallel sides. Thusly,the natural frequency of free vibration and the critical buckling-load are directly attainable. The natural frequencies and static stability loads are analyzed by resulting equations for the special case of a simply supported rectangular plate on all four edges subjected to biaxial compression forces. The curves and tables for the natural frequencies and critical buckling-loads are prepared for the simply supported rectangular plate on all four edges with uniaxial compression force acting on it.