| Issue |
MATEC Web Conf.
Volume 82, 2016
2016 International Conference on Design, Mechanical and Material Engineering (D2ME 2016)
|
|
|---|---|---|
| Article Number | 01013 | |
| Number of page(s) | 6 | |
| Section | Chapter 1: Mechanical Engineering | |
| DOI | https://doi.org/10.1051/matecconf/20168201013 | |
| Published online | 31 October 2016 | |
Stability and Bifurcation Analysis of Functionally Graded Materials Plate Under Different Loads and Boundary Conditions
1 College of Mathematics, Xiamen University of Technology, Xiamen 361024, P. R. China
2 College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China
3 College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, P. R. China
a Corresponding author: shupingchen@126.com
This paper presents the stability and bifurcation analysis of a simply-supported functionally graded materials (FGMs) rectangular plate subject to the transversal and in-plane excitations. A two-degree-of-freedom nonlinear system of the FGM plate is obtained via the Hamilton’s principle and the Galerkin approach. The case of primary parametric resonance and 1:2 internal resonance is considered. The asymptotic perturbation method is utilized to obtain four-dimensional nonlinear averaged equation. With the aid of Matlab and normal form theory, the various types of dynamical behavior in the neighborhood of a kind of degenerated equilibrium point are investigated. It was found that static bifurcation and Hopf bifurcation exist for the FGM rectangular plate under certain conditions.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.