In this paper, an analytical solution is developed for free vibration analysis of conical
fiber metal shells. In order to find constitutive relations, the assumptions of thins
hells are used and the governing equations are based on Love’s theory. The Galerkin method
is employed to solve the governing equations in which beam functions are used to
approximate the mode shapes. Using beam functions enables us to assess the effects of
different boundary conditions on the frequency response of the shells. Numerical
comparisons of the present and previously published results confirm the accuracy of the
current approach. Additionally, the influences of geometrical parameters and embedding
aluminum plies in different layers of the structure on natural frequency of the conical
shells with various boundary conditions are investigated. It can be observed that the more
the aluminum plies are used, the greater natural frequency of the structure will be
reached. Except the clamped-free boundary conditions, the results also indicate that if
the aluminum plies are embedded in the top and bottom layers of the laminate, natural
frequency reaches its maximum value.