CLC number: O31
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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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 A, 2007, 8(7): 1038-1043.
@article{title="3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials",
author="CHEN Jiang-ying, CHEN Wei-qiu",
journal="Journal of Zhejiang University Science A",
volume="8",
number="7",
pages="1038-1043",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A1038"
}
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%T 3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials
%A CHEN Jiang-ying
%A CHEN Wei-qiu
%J Journal of Zhejiang University SCIENCE A
%V 8
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%P 1038-1043
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A1038
TY - JOUR
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
VL - 8
IS - 7
SP - 1038
EP - 1043
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
ER -
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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