Free vibration of anti-symmetric angle-ply layered circular cylindrical shells filled with quiescent fluid under first order shear deformation theory

Abstract

Free vibration of layered circular cylindrical shell filled with fluid with an anti-symmetric angle-ply walls including first-order shear deformation theory is presented. The fluid is assumed to be quiescent and inviscid. The permeability condition on the fluid-shell interface is applied to ensure the contact between the fluid and shell wall. The governing equations are obtained in terms of displacement and rotational functions. These functions are assumed in a separable form, resulting into a system of ordinary differential equation. Bickley-type spline of order three is applied to the problem, along with the equations of boundary conditions, bringing out into the system of homogeneous equations and become as a generalized eigenvalue problem. This problem is solved for frequency parameter with an associated eigenvectors. The effect of shell geometry, types of material, ply-orientations, number of layers and boundary conditions on frequencies are studied.