Shear Constitutive Relations for Laminated Anisotropic Shells and Plates: Part II—Vibrations of Composite Cylinders

Abstract

In Part I of this paper, a system of shear constitutive relations was proposed for a first-order shear deformation theory of laminated anisotropic plates and shells. For laminated anisotropic structures, these shear constitutive equations involved the concept of generalized shear planes. Herein, an extensive parametric study is presented to assess the modeling capability of these shear constitutive relations in a class of laminated composite and sandwich cylinders. Classical theory results are also given in order to fully understand the influence of anisotropy on the accuracy and ranges of validity of both first-order shear deformation theory and classical theory. It is seen that the proposed system of shear constitutive relations provides highly accurate frequency results over the range of anisotropy considered.