MATEC Web Conf.
Volume 82, 20162016 International Conference on Design, Mechanical and Material Engineering (D2ME 2016)
|Number of page(s)||6|
|Section||Chapter 1: Mechanical Engineering|
|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: email@example.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
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