Axisymmetric Vibrations of Laminated Composite Conical Shells with Varying Thickness.

Abstract

An exact solution is presented for solving axisymmetric free vibrations of laminated composite conical shells having meridionally varying thickness. Based on the classical lamination theory which neglects shear deformation and rotary inertia, equations of motion and boundary conditions are obtained from the stationary conditions of the Lagrangian. The equations of motion are solved exactly using a power series expansion for symmetrically laminated, cross-ply conical shells. Conical shells having both ends clamped are numerically studied to show the effects of the number of laminae, stacking sequences and other parameters upon the frequencies and mode shapes.