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论文类型：期刊论文

发表时间：2013-03-01

发表刊物：APPLIED MATHEMATICS LETTERS

收录刊物：SCIE、EI

卷号：26

期号：3

页面范围：355-361

ISSN号：0893-9659

关键字：Analytical solution; Symplectic superposition method; Foundation plate

摘要：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.