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| Analytic solutions for bending of anisotropic rectangular medium-thickness plate with four free edges |
| Received:August 08, 2017 Revised:September 18, 2017 |
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| DOI：10.7511/jslx20170808001 |
| KeyWord:anisotropic four free edges rectangular medium-thickness plate bending analytic solution |
| Author | Institution |
| 王春玲 |
西安建筑科技大学 理学院, 西安 |
| 张杰 |
西安建筑科技大学 理学院, 西安 |
| 李华 |
西安建筑科技大学 理学院, 西安 |
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| Abstract: |
| This paper is based on the governing equation of AM6apuyMяH's anisotropic medium-thickness plate theory.It combines the compatibility equation under various support conditions with the boundary conditions of free edges.Through symmetrical decomposition, the plate bending is decomposed into a central symmetry problem and a central dissymmetry problem.By using triangular series method, the mixed-order governing partial differential equations are solved, obtaining the analytical bending solution of an anisotropic rectangular medium-thickness plate with four free edges.It abandons the assumption of method of line, overcomes difficulty in mathematical solutions and the drawbacks of a numerical method to make the results more accurate.This method can be used to study the static and dynamic bending characteristics of anisotropic medium-thickness plates with four free edges and under different boundary constraints. |