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CLC number: O343.1
On-line Access: 2024-08-27
Received: 2023-10-17
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Analytical solutions for a uniformly loaded circular plate with clamped edges
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DING Hao-jiang, LEE Xiang-yu, CHEN Wei-qiu. Analytical solutions for a uniformly loaded circular plate with clamped edges[J]. Journal of Zhejiang University Science A, 2005, 6(10): 1163-1168.
@article{title="Analytical solutions for a uniformly loaded circular plate with clamped edges",
author="DING Hao-jiang, LEE Xiang-yu, CHEN Wei-qiu",
journal="Journal of Zhejiang University Science A",
volume="6",
number="10",
pages="1163-1168",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A1163"
}
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%A DING Hao-jiang
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A1163
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T1 - Analytical solutions for a uniformly loaded circular plate with clamped edges
A1 - DING Hao-jiang
A1 - LEE Xiang-yu
A1 - CHEN Wei-qiu
J0 - Journal of Zhejiang University Science A
VL - 6
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EP - 1168
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A1163
Abstract: A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the same as that adopted by Timoshenko and Goodier (1970). The analytical solution for the first type of clamped boundary condition is identical with that obtained by Luo et al.(2004), and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.
[1] Ding, H.J., Xu, R.Q., Guo, F.L., 1999. Exact axisymmetric solution of laminated transversely isotropic piezoelectric circular plates (II)(Exact solution for elastic circular plates and numerical results. Science in China (Series E), 42:470-478.
[2] Ding, H.J., Huang, D.J., Wang, H.M., 2005. Analytical solution for fixed-end beam subjected to uniform load. Journal of Zhejiang University (SCIENCE), 6A(8):779-783.
[3] Lekhnitskii, S.G., 1968. Anisotropic Plate. Gordon and Breach, New York.
[4] Luo, J.Z., Liu, T.G., Zhang, T., 2004. Three-dimensional linear analysis for composite axially symmetrical circular plate. International Journal of Solid and Structures, 41:3689-3706.
[5] Timoshenko, S.P., Woinowsky-Krieger, S., 1959. Theory of Plates and Shells (2nd Ed.). McGraw Hill, New York.
[6] Timoshenko, S.P., Goodier, J.N., 1970. Theory of Elasticity (3rd Ed.). McGraw Hill, New York.
Open peer comments: Debate/Discuss/Question/Opinion
<1>
A M Gadade@Asst Professor<appagadade@gmail.com>
2012-02-22 01:55:08
good
SUN@KAIST<ssuncrazy@hotmail.com>
2010-10-14 16:04:35
GOOD