Abstract
Based upon the differential equations and their related boundary conditions given in the previous paper, this paper finds the analytical solution of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary conditions under uniform surface loading. However, for the sake of saving computational work, the first order approximation theory can be further simplified in more rational bases.
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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 (English Ed.),18, 1 (1997) 1–18.
G. Kirchhoff, Über das Gleichgewicht und die Bewegung einer elastischen Scheibe,Journal für die reine und Angewandte Math. (Crülle),40 (1850), 51–88.
A. E. N. Love,A Treatise on the Mathematical Theory of Elasticity, Cambridge (1937).
A. E. McPherson, W. Ramberg and S. Levy, Normal Pressure Tests on Circular Plates with Clamped Edges, NACA Report, 744 (1943).
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Weizang, C. The first-order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (II). Appl Math Mech 18, 103–112 (1997). https://doi.org/10.1007/BF02458009
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DOI: https://doi.org/10.1007/BF02458009