Free axisymmetric vibration of FGM circular plates |
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Authors: | Yun Wang Rong-qiao Xu Hao-jiang Ding |
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Affiliation: | 1. Department of Civil Engineering,Zijingang Campus,Zhejiang University,Hangzhou 310058,P.R.China;School of Mechanical Engineering,Hangzhou Dianzi University,Hangzhou 310018,P.R.China 2. Department of Civil Engineering,Zijingang Campus,Zhejiang University,Hangzhou 310058,P.R.China |
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Abstract: | Based on the three-dimensional theory, this work presents a direct displacement method to investigate the free axisymmetric vibration of transversely isotropic circular plates, whose material is functionally graded and properties obey the exponential law along the thickness direction of the plate. Under two boundary conditions, the solution satisfies all basic equations and the corresponding boundary condition at every point. Thus, it is three-dimensional exact. Numerical examples are presented and compared with previous works. The present method can also be extended to the case of arbitrary distribution of the material properties along the thickness direction of the plate. |
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Keywords: | functionally graded material (FGM) circular plate free vibration axisym metry |
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