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

http://doi.org/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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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A1038"
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%I Zhejiang University Press & Springer
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T1 - 3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials
A1 - CHEN Jiang-ying
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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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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