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Copyright © 2015 Y. X. Hao et al. Y. X. Hao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Chaotic and periodic motions of an FGM cylindrical panel in hypersonic flow are investigated. The cylindrical panel is also subjected to in-plane external loads and a linear temperature variation in the thickness direction. The temperature dependent material properties of panel which are assumed to be changed through the thickness direction only can be determined by a simple power distribution in terms of the volume fractions. With Hamilton's principle for an elastic body, a nonlinear dynamical model based on Reddy's first-order shear deformation shell theory and von Karman type geometric nonlinear relationship is derived in the form of partial equations. A third-order piston theory is adopted to evaluate the hypersonic aerodynamic load. Here, Galerkin's method is employed to discretize this continuous nonlinear dynamic system to ordinary differential governing equations involving two degrees of freedom. The chaotic and periodic response are studied by the direct numerical simulation method for influences of different Mach number and the value of in-plane load. The bifurcations, Poincare section, waveform, and phase plots are presented.

Details

Title
Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow
Author
Hao, Y X; Zhang, W; Li, S B; Zhang, J H
Publication year
2015
Publication date
2015
Publisher
John Wiley & Sons, Inc.
ISSN
16875966
e-ISSN
16875974
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1646349600
Copyright
Copyright © 2015 Y. X. Hao et al. Y. X. Hao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.