Nonlinear free vibration behavior of functionally graded plates
In this paper, an analytical solution is provided for the nonlinear free vibration behavior of plates made of functionally graded materials. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a power-law distribution of the...
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Published in | Journal of sound and vibration Vol. 289; no. 3; pp. 595 - 611 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
London
Elsevier Ltd
01.01.2006
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, an analytical solution is provided for the nonlinear free vibration behavior of plates made of functionally graded materials. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. The fundamental equations for thin rectangular plates of functionally graded materials are obtained using the von Karman theory for large transverse deflection, and the solution is obtained in terms of mixed Fourier series. The effect of material properties, boundary conditions and thermal loading on the dynamic behavior of the plates is determined and discussed. The results reveal that nonlinear coupling effects play a major role in dictating the fundamental frequency of functionally graded plates. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0022-460X 1095-8568 |
DOI: | 10.1016/j.jsv.2005.02.031 |