Analytical bending solutions of clamped rectangular thin plates resting on elastic foundations by the symplectic superposition method |
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| Authors: | Baofeng Pan Rui Li Yewang Su Bo Wang Yang Zhong |
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| Institution: | 1. Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;3. Department of Mechanical Engineering and Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL 60208, USA |
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| Abstract: | In this paper, the analytical bending solutions of clamped rectangular thin plates resting on elastic foundations are obtained by a rational symplectic superposition method which is based on the Hamiltonian system. The proposed method is capable of solving the plate problems with different boundary conditions via a step-by-step derivation without any trial solutions. The presented solution procedure can be extended to more boundary value problems in engineering. |
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