Nonlinear Dynamic Response of Functionally Graded Rectangular Plates under Different Internal Resonances.
In: Mathematical Problems in Engineering, Jg. 2010 (2010), S. 1-12
academicJournal
Zugriff:
The nonlinear dynamic response of functionally graded rectangular plates under combined transverse and in-plane excitations is investigated under the conditions of 1 : 1, 1 : 2 and 1 : 3 internal resonance. The material properties are assumed to be temperature-dependent and vary along the thickness direction. The thermal effect due to one-dimensional temperature gradient is included in the analysis. The governing equations of motion for FGM rectangular plates are derived by using Reddy's third-order plate theory and Hamilton's principle. Galerkin's approach is utilized to reduce the governing differential equations to a two-degree-of-freedom nonlinear system including quadratic and cubic nonlinear terms, which are then solved numerically by using 4th-order Runge-Kutta algorithm. The effects of in-plane excitations on the internal resonance relationship and nonlinear dynamic response of FGM plates are studied. [ABSTRACT FROM AUTHOR]
Titel: |
Nonlinear Dynamic Response of Functionally Graded Rectangular Plates under Different Internal Resonances.
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Autor/in / Beteiligte Person: | Hao, Y. X. ; Zhang, W. ; Ji, X. L. |
Zeitschrift: | Mathematical Problems in Engineering, Jg. 2010 (2010), S. 1-12 |
Veröffentlichung: | 2010 |
Medientyp: | academicJournal |
ISSN: | 1024-123X (print) |
DOI: | 10.1155/2010/738648 |
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