Free vibration of anti-symmetric angle-ply layered cylindrical shells under classical theory

Abstract

Free vibration of antisymmetric angle-ply layered cylindrical shell is presented applying spline function approximations under classical theory. The equations of motion for the shell are derived by extending Love's first approximation theory. Assuming the displacement functions in a separable form and these functions are approximated using splines. The collocation procedure is applied to obtain a system of couple differential equations in terms of displacement functions. The system becomes a generalized eigenvalue problem using boundary condition and this problem is solved numerically to find eigenfrequency parameters and associated eigenvectors as spline coefficients. The effects of the circumferential node number, the relative thickness of the layers, the thickness parameter and the length parameter under clamped-clamped boundary conditions on the frequencies are analyzed. Two and four layered cylindrical shells with different materials are used.