Free vibrations of three parameter functionally graded parabolic panels of revolution

The aim of this paper is to deal with the dynamic behaviour of moderately thick functionally graded parabolic panels of revolution. A generalization of the power-law distribution presented in literature is proposed. The governing equations of motion are expressed in terms of five generalized displacement components of the points lying on the middle surface of the parabolic shell. The Generalized Differential Quadrature (GDQ) method is used to discretize the system equations. Numerical results concerning functionally graded parabolic panels show the influence of the three parameters of the power-law distribution on their mechanical behaviour.