ON VIBRATIONS OF LAYERED BEAMS AND PLATES

This paper is concerned with correspondences and analogies between fle xural vibrations of shear-deformable layered beams or plates and solut ions for homogeneous structures rigid in shear. The first-order Timosh enko-Reissner-Mindlin kinematics is applied to the laminate overally o r layer-wise. Geometrically linearized vibrations of beams with variou s boundary conditions and of plates with arbitrary polygonal shape and hinged boundary conditions are discussed, together with physically no n-linear vibrations of beams and geometrically non-linear vibrations o f plates.