Abstract
Based upon the differential equations and their related boundary conditions given in the previous papers[1, 2], using a global interpolation method, this paper presents a numerical solution to the axisymmetric bending problem of non-Kirchhoff-Love theory for circular plate with fixed boundary under uniform surface loading. All the numerical results obtained in this paper are compared with that of Kirchhoff-Love classical theory[3] and E. Reissner's modified theory[4].
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References
Chien Weizang, The first order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (I),Applied Mathematics and Mechanics,18, 1 (1997), 1–18.
Chien Weizang, The first order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (II),Applied Mathematics and Mechanics,18, 2 (1997), 103–112.
Chien Weizang and Yeh Kaiyuan,Mechanics of Elasticity, the second edition, Science Publications, Beijing, (1980). (in Chinese)
E. Ressner, The effect of transverse shear deformation on the bending of elastic plates,Journal of Applied Mechanics,12, 2 (1945), 69–77.
Cao Zhiyuan and Yang Shentian,Dynamic Theory of Thick Plates and Its Application, Science Publications, Beijing (1983). (in Chinese)
A. E. McPherson, W. Ramberg and S. Levy, Normal pressure tests of circular plates with clamped edges,NACA Report, 744 (1942).
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Weizang, C., Shangzhong, S. The first-order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (III)—Numerical results. Appl Math Mech 18, 411–419 (1997). https://doi.org/10.1007/BF02453737
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DOI: https://doi.org/10.1007/BF02453737