ON VIBRATIONS OF LAYERED BEAMS AND PLATES

This paper is concerned with correspondences and analogies between flexural vibrations of shear-deformable layered beams or plates and solutions for homogeneous structures rigid in shear. The first-order Timoshenko-Reissner-Mindlin kinematics is applied to the laminate overally or layer-wise. Geometrically linearized vibrations of beams with various boundary conditions and of plates with arbitrary polygonal shape and hinged boundary conditions are discussed, together with physically non-linear vibrations of beams and geometrically non-linear vibrations of plates.