Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/246352 |
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| _version_ | 1832567116318900224 |
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| author | Y. X. Hao W. Zhang S. B. Li J. H. Zhang |
| author_facet | Y. X. Hao W. Zhang S. B. Li J. H. Zhang |
| author_sort | Y. X. Hao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9daef76783354c56a02506aecaf09ffc |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-9daef76783354c56a02506aecaf09ffc2025-02-03T01:02:21ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742015-01-01201510.1155/2015/246352246352Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air FlowY. X. Hao0W. Zhang1S. B. Li2J. H. Zhang3College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, ChinaChaotic 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.http://dx.doi.org/10.1155/2015/246352 |
| spellingShingle | Y. X. Hao W. Zhang S. B. Li J. H. Zhang Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow International Journal of Aerospace Engineering |
| title | Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow |
| title_full | Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow |
| title_fullStr | Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow |
| title_full_unstemmed | Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow |
| title_short | Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow |
| title_sort | nonlinear vibrations of fgm cylindrical panel with simply supported edges in air flow |
| url | http://dx.doi.org/10.1155/2015/246352 |
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