Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-03-01

Journal: APPLIED MATHEMATICS LETTERS

Included Journals: EI、SCIE

Volume: 26

Issue: 3

Page Number: 355-361

ISSN: 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.