Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory

Fouad Bourada , Abdelmoumen Anis Bousahla , Mohamed Bourada , Abdelghani Azzaz , Amina Zinata , Abdelouahed Tounsi

Abstract

This article present the free vibration analysis of simply supported perfect and imperfect (porous) FG beams using a high order trigonometric deformation theory. It is assumed that the material properties of the porous beam vary across the thickness. Unlike other theories, the number of unknown is only three. This theory has a parabolic shear deformation distribution across the thickness. So it is useless to use the shear correction factors. The Hamilton;s principle will be used herein to determine the equations of motion. Since, the beams are simply supported the Navier\'s procedure will be retained. To show the precision of this model, several comparisons have been made between the present results and those of existing theories in the literature.

Key Words

porous FG beams; trigonometric deformation theory; free vibration; porosity

Address

Fouad Bourada — Département de Génie Civil, Institut de Technologie, Centre Universitaire de Ain Témouchent, Algérie
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algérie; Centre Universitaire Ahmed Zabana de Relizane, Algérie
Mohamed Bourada, Abdelghani Azzaz and Amina Zinata — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algérie
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algérie; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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