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The European Physical Journal Special Topics

, Volume 222, Issue 7, pp 1519–1539 | Cite as

Dynamics of an axially functionally graded beam under axial load

  • E. Babilio
Regular Article

Abstract

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.

Keywords

Axial Force Critical Load European Physical Journal Special Topic Bifurcation Diagram Energy Harvest 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Department of Structures for Engineering and Architecture (DiSt)University of Naples “Federico II”NaplesItaly

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