Dynamics of an axially functionally graded beam under axial load
Department of Structures for Engineering and Architecture (DiSt), University of Naples “Federico II”, via Forno Vecchio 36, 80134 Naples, Italy
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Received: 4 June 2013
Revised: 2 August 2013
Published online: 30 September 2013
This paper considers the dynamics of a simply supported beam under axial time–dependent load. The beam is made of an axially functionally graded material. The motion equations are deduced from the equilibrium in deformed configuration and no restriction is made on the amplitude of the transversal displacement, but that naturally imposed by the inextensibility assumption that is adopted in the present study. The transversal motion equation, that is a partial differential equation, is approximated by its Taylor expansion until third order and then discretized through the Galerkin procedure.
© EDP Sciences, Springer-Verlag, 2013