Free and Forced Vibration of Antisymmetric Angle-Ply Laminated Plate Strips in Cylindrical Bending

Abstract

The dynamic behavior of antisymmetric angle-ply laminated plate strips in cylindrical bending is examined using the classical theory and the first-order shear deformation theory. Free vibration of the plate strip is explored, and accurate natural frequencies are determined for general boundary conditions. A generalized modal approach is presented to solve the dynamic response of antisymmetric angle-ply plate strips with arbitrary boundary conditions and for arbitrary loading. The exact analytical solutions obtained are illustrated numerically in a number of figures revealing the influences of the transverse shearing deformation, of the number of layers, of the ply angles, and of the character of boundary conditions in the fundamental frequencies and the dynamic response.