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Received: 2007-02-14

Revision Accepted: 2007-04-03

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.7 P.1038~1043

10.1631/jzus.2007.A1038


3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials


Author(s):  CHEN Jiang-ying, CHEN Wei-qiu

Affiliation(s):  Faculty of Engineering, Ningbo University, Ningbo 315211, China; more

Corresponding email(s):   chenjiangying@nbu.edu.cn

Key Words:  Functionally graded materials, Transversely isotropic, Rotating annular plate, Analytical solution


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 A, 2007, 8(7): 1038~1043.

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author="CHEN Jiang-ying, CHEN Wei-qiu",
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year="2007",
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doi="10.1631/jzus.2007.A1038"
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%A CHEN Wei-qiu
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A1038

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T1 - 3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials
A1 - CHEN Jiang-ying
A1 - CHEN Wei-qiu
J0 - Journal of Zhejiang University Science A
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EP - 1043
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A1038


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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Reference

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[8] Lekhnitskii, S.G., 1968. Anisotropic Plates. Gordon and Breach, London.

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