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Geometrically Non-Linear Free Vibration Analysis of Functionally Graded Rectangular Plates

Authors: El Bikri Khalid, Benamar Rhali, Boukhzer Abdenbi

Abstract:

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.

Keywords: functionally graded materials, non-linear vibration, rectangular plates

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089198

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References:


[1] Yamanouchi, M.; Koizumi, M.; Hirai, T.; Shiota, I., Proceedings of first international symposium on functionally gradient materials, Sendai, Japan; 1990.
[2] Koizumi, M.; The concept of FGM. Ceram Trans, Funct Gradient Mater 1993, 34, 3–10.
[3] W. Han and Petyt .Geometrically non linear vibration analysis of thin rectangular plates using the hierarchical finite element method 1.The fundamental mode of isotropic plates computers & structures vol 63(1997)pp 295-308 .
[4] Abrate, S., "Functionally graded plates behave like homogeneous plates", Composites Part B-Engineering 2008, 39, 151–8.
[5] Abrate, S., "Free vibration, buckling, and static deflections of functionally graded plates", Composites Science and Technology, 2006, 66, 2383–2394.
[6] Zhao, X.; Lee, Y. Y.; Liew, K. M., "Free vibration analysis of functionally graded plates using the element-free kp-Ritz method", Sound and Vibration, 2009, 319, 918–939.
[7] J.Woo, SA .Meguid, L.S.Ong,’’Nonlinear free vibration behavior of functionally graded plates”, Sound and Vibration, 2006, 289, 595–611.