On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates |
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| Authors: | Rui Li Yang ZhongBin Tian |
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| Affiliation: | a Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, Liaoning Province, PR China
b Department of Science and Technology, China Road and Bridge Corporation, Beijing 100011, PR China |
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| Abstract: | A novel superposition method based on the symplectic geometry approach is presented for exact bending analysis of rectangular cantilever thin plates. The basic equations for rectangular thin plate are first transferred into Hamilton canonical equations. By the symplectic geometry method, the analytic solutions to some problems for plates with slidingly supported edges are derived. Then the exact bending solutions of rectangular cantilever thin plates are obtained using the method of superposition. The symplectic superposition method developed in this paper is completely rational compared with the conventional analytical ones because the predetermination of deflection functions, which is indispensable in existing methods, is dispelled. |
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| Keywords: | Rectangular cantilever thin plate Exact solution Symplectic geometry method Superposition method |
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