| 3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials |
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| 作者姓名： | CHEN Jiang-ying CHEN Wei-qiu |
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| 作者单位： | CHEN Jiang-ying1，CHEN Wei-qiu2 (1Faculty of Engineering，Ningbo University，Ningbo 315211，China) (2Department of Civil Engineering，Zhejiang University，Hangzhou 310027，China) |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Nos. 10472102 and 10432030)，the Natural Science Foun-dation of Zhejiang Province (No. Y605040)，Ningbo City (No.2005A610024), China |
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| 摘 要： | 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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| 关 键 词： | 3D技术 材料 溶液分解 力学性能 |
| 收稿时间： | 14 February 2007 |
| 修稿时间： | 2007-02-142007-04-03 |
3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials |
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| CHEN Jiang-ying CHEN Wei-qiu.3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials[J].Journal of Zhejiang University Science,2007,8(7):1038-1043. |
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| Authors: | Chen Jiang-ying Chen Wei-qiu |
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| Institution: | (1) Faculty of Engineering, Ningbo University, Ningbo, 315211, China;(2) Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, China |
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| 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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| Keywords: | Functionally graded materials Transversely isotropic Rotating annular plate Analytical solution |
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