%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