Free Axisymmetric Vibration of FGM Circular Plates

WANG Yun; XU Rong-qiao; DING Hao-jiang

doi:10.3879/j.issn.1000-0887.2009.09.001

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WANG Yun, XU Rong-qiao, DING Hao-jiang. Free Axisymmetric Vibration of FGM Circular Plates[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1009-1014. doi: 10.3879/j.issn.1000-0887.2009.09.001

Citation:

WANG Yun, XU Rong-qiao, DING Hao-jiang. Free Axisymmetric Vibration of FGM Circular Plates[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1009-1014. doi: 10.3879/j.issn.1000-0887.2009.09.001

Citation:

WANG Yun, XU Rong-qiao, DING Hao-jiang. Free Axisymmetric Vibration of FGM Circular Plates[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1009-1014. doi: 10.3879/j.issn.1000-0887.2009.09.001

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Free Axisymmetric Vibration of FGM Circular Plates

doi: 10.3879/j.issn.1000-0887.2009.09.001

1.
Department of Civil Engineering, Zhejiang University, Zijingang Campus, Hangzhou 310058, P. R. China;

Received Date: 2009-04-26
Rev Recd Date: 2009-06-30
Publish Date: 2009-09-15

Abstract

Abstract

Based on threedimensional theory,a direct displacement method was presented to investigate free axisymmetric vibration of transversely isotropic circular plates,whose material is functionally graded and its properties obey the exponential law along the thickness of the plate.For two boundary conditions the solution satisfies all basic equations and corresponding boundary condition at every point and thus is three-dimensionally exact.Numerical examples were finally tabulated and compared with those of previous works.The present method can also be extended to the case of arbitrary distribution of the material properties along the thickness of the plate.
- functionally graded material (FGM),
- circular plate,
- free vibration,
- axisymmetry

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References(9)

References

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