Abstract
The analytical solution for an annular plate rotating at a constant angular velocity is derived by means of direct displacement method from the elasticity equations for axisymmetric problems of functionally graded transversely isotropic media. The displacement components are assumed as a linear combination of certain explicit functions of the radial coordinate, with seven undetermined coefficients being functions of the axial coordinate z. Seven equations governing these z-dependent functions are derived and solved by a progressive integrating scheme. The present solution can be degenerated into the solution of a rotating isotropic functionally graded annular plate. The solution also can be degenerated into that for transversely isotropic or isotropic homogeneous materials. Finally, a special case is considered and the effect of the material gradient index on the elastic field is illustrated numerically.
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Project supported by the National Natural Science Foundation of China (Nos. 10472102 and 10432030) and the Natural Science Foundation of Zhejiang Province (No. Y605040) and Ningbo City (No. 2005A610024), China
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Chen, Jy., Chen, Wq. 3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials. J. Zhejiang Univ. - Sci. A 8, 1038–1043 (2007). https://doi.org/10.1631/jzus.2007.A1038
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DOI: https://doi.org/10.1631/jzus.2007.A1038