Free vibration of antisymmetric angle-ply composite laminated conical shell under classical theory

Abstract

This paper focuses on free vibration behaviour of antisymmetric angle-ply laminated conical shell under classical theory. The equations of motion are derived using Love’s first approximation thin shell theory. By applying point collocation method together with spline function approximation, the free vibration equations of motion of the composite laminated conical shell are transformed to a set of algebraic equations for the assumed spline coefficients. The eigenvalue problem is solved by employing the eigensolution techniques with eigenvectors as spline coefficients to obtain the required frequencies. This study is conducted for Clamped-Clamped and Simply-Supported boundary conditions. Detailed parametric investigation is carried out to examine the influences of number of laminates, ply orientations, circumferential node number and materials on the free vibration of conical shells.