Paper Title:
Periodic and Chaotic Motions of a Simply Supported FGM Plate with Two Degrees-of-Freedom
  Abstract

In this paper, we use the asymptotic perturbation method to investigate the nonlinear oscillation and chaotic dynamic behavior of a simply supported rectangular plate made of functionally graded materials (FGMs). We assume that the plate is made from a mixture of ceramics and metals with continuously varying compositional profile such that the top surface of the plate is ceramic rich, whereas the bottom surface is metal rich. The equations motion of the FGM plate with two-degree-of-freedom under combined parametrical and external excitations are obtained by using Galerkin’s method. Based on the averaged equation obtained by the asymptotic perturbation method, the phase portrait and waveform are used to analyze the periodic and chaotic motions. It is found that the FGM plate exhibits chaotic motions under certain circumstances.

  Info
Periodical
Advanced Materials Research (Volumes 47-50)
Edited by
Alan K.T. Lau, J. Lu, Vijay K. Varadan, F.K. Chang, J.P. Tu and P.M. Lam
Pages
1137-1140
DOI
10.4028/www.scientific.net/AMR.47-50.1137
Citation
Y. X. Hao, W. Zhang, J. Yang, L. H. Chen, "Periodic and Chaotic Motions of a Simply Supported FGM Plate with Two Degrees-of-Freedom", Advanced Materials Research, Vols. 47-50, pp. 1137-1140, 2008
Online since
June 2008
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yao Dai, Jun Feng Liu, Lei Zhang, Xiao Chong, Hong Qian Chen
Chapter 3: Mechanics Engineering and Applied Mechanics
Abstract:Reissner’s plate bending fracture theory with consideration of transverse shear deformation effects is adopted for the crack problem of...
914
Authors: Yao Dai, Lei Zhang, Jun Feng Liu, Xiao Chong, Hong Qian Chen
Chapter 3: Mechanics Engineering and Applied Mechanics
Abstract:The eigen-problem of a crack in functionally graded Reissner’s spherical shell is analyzed. By adopting the asymptotic expansion method, the...
826
Authors: Yu Liang, Song Xiang, Wei Ping Zhao
Chapter 6: Strength of Materials, Accidents, Corrosion
Abstract:Stress of simply functionally graded plates is predicted by the meshless method based on inverse multiquadrics radial basis function. The...
383
Authors: Ying Tao Chen, Song Xiang, Wei Ping Zhao
Chapter 2: Theory and Practice of Computational Mechanics
Abstract:Deflection and stress of simply functionally graded plates are calculated by the meshless collocation method based on generalized...
121