Local Stability and Bifurcation Analysis of A Functionally Graded Material Plate

DOI

10.2991/mme-16.2017.66How to use a DOI?

Keywords

FGM, Stability, Bifurcation, Normal Form.

Abstract

In this paper, we investigated the local stability of a simply supported functionally graded material (FGM) rectangular plate subjected to the transversal and in-plate excitations in the uniform thermal environment both analytical and numerical approaches. Three kinds of critical points of the bifurcation response equations are considered, which are characterized by a double zero eigenvalues, a simple zero and a pair of pure imaginary eigenvalues as well as two pairs of pure imaginary eigenvalues in nonresonant case, respectively. With the aid of a symbolic computation language Maple and normal form theory, the explicit expressions of critical bifurcation lines are obtained. Finally, the numerical solutions obtained by using fourth-order Runge-Kutta method agree with the analytic predictions.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiao-Hua Zhang
AU  - Yan-Lin Han
PY  - 2016/12
DA  - 2016/12
TI  - Local Stability and Bifurcation Analysis of A Functionally Graded Material Plate
BT  - Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
PB  - Atlantis Press
SP  - 482
EP  - 489
SN  - 2352-5401
UR  - https://doi.org/10.2991/mme-16.2017.66
DO  - 10.2991/mme-16.2017.66
ID  - Zhang2016/12
ER  -