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Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading |
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| Authors: | Rui Li Bin Tian Yang Zhong |
| Affiliation: | 1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, P.R. China 2. Department of Science and Technology, China Road and Bridge Corporation, Beijing, 100011, P.R. China 3. Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian, 116024, P.R. China |
| Abstract: | This paper presents the analytical solutions for the bending of orthotropic rectangular thin plates by the double finite integral transform, which, as an effective tool in solving plate problems, should have received attention. As a representative and difficult problem in the theory of plates, free plates’ bending is successfully solved to demonstrate the accuracy of the method by comparing the present analytical solutions with those from the literature as well as those by the finite element method. With the proper integral transform kernels, the proposed solution procedure is applicable to the bending of orthotropic rectangular plates with all combinations of simply supported, clamped and free boundary conditions, which serves as an elegant approach to analytical solutions of plate bending problems. |
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