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Indexed by:期刊论文

Date of Publication:2013-03-01

Journal:APPLIED MATHEMATICS LETTERS

Included Journals:SCIE、EI

Volume:26

Issue:3

Page Number:355-361

ISSN No.:0893-9659

Key Words:Analytical solution; Symplectic superposition method; Foundation plate

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. (C) 2012 Elsevier Ltd. All rights reserved.