WASET
	%0 Journal Article
	%A Boukhzer Abdenbi and  El Bikri Khalid and  Benamar Rhali
	%D 2013
	%J International Journal of Mechanical and Mechatronics Engineering
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 83, 2013
	%T Geometrically Non-Linear Free Vibration Analysis of Functionally Graded Rectangular Plates
	%U https://publications.waset.org/pdf/9996658
	%V 83
	%X In the present study, the problem of geometrically non-linear free vibrations of functionally graded rectangular plates (FGRP) is studied. The theoretical model, previously developed and based on Hamilton’s principle, is adapted here to determine the fundamental non-linear mode shape of these plates. Frequency parameters, displacements and stress are given for various power-law distributions of the volume fractions of the constituents and various aspect ratios. Good agreement with previous published results is obtained in the case of linear and non-linear analyses.

	%P 2306 - 2310