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CLC number: O343.1

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Received: 2005-09-26

Revision Accepted: 2005-09-26

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.10 P.1163~1168

10.1631/jzus.2005.A1163


Analytical solutions for a uniformly loaded circular plate with clamped edges


Author(s):  DING Hao-jiang, LEE Xiang-yu, CHEN Wei-qiu

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   dinghj@zju.edu.cn

Key Words:  Three-dimensional analytical solution, Circular plates with clamped edges, Bi-harmonic functions, Axisymmetric deformation


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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.

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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.

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Reference

[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.

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A M Gadade@Asst Professor<appagadade@gmail.com>

2012-02-22 01:55:08

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SUN@KAIST<ssuncrazy@hotmail.com>

2010-10-14 16:04:35

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