| THE FIRST ORDER APPROXIMATION OF NON-KIRCHHOFF-LOVE THEORY FOR ELASTIC CIRCULAR PLATE WITH FIXED BOUNDARY UNDER UNIFORM SURFACE LOADING (Ⅰ) |
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| 摘 要： |
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| 收稿时间： | 1995-11-30 |
The first order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (I) |
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| Chien Weizang. The first order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (I)[J]. Applied Mathematics and Mechanics(English Edition), 1997, 18(1): 1-18. DOI: 10.1007/BF02457496 |
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| Authors: | Chien Weizang |
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| Affiliation: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P. R. China |
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| Abstract: | Based on the approximation theory adopting non-kirchhoff-Love assumption for three dimensional elastic plates with arbitrary shapes[1],[2], the author derives a functional of generalized variation for three dimensional elastic circular plates, thereby obtains a set of differential equations and the relate boundary conditions to establish a first order approximation theory for elastic circular plate with fixed boundary and under uniform loading on one of its surface. The analytical solution of this problem will present in another paper. |
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| Keywords: | elastic circular plate Kirchhoff-Love assumption generalized variational principle |
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