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Indexed by:期刊论文

Date of Publication:2016-01-15

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:SCIE、EI

Volume:40

Issue:2

Page Number:984-992

ISSN No.:0307-904X

Key Words:Rectangular thin plate; Free vibration; Hamiltonian system; Symplectic superposition method

Abstract:Analytic free vibration solutions of free rectangular thin plates with or without an elastic foundation are obtained by using an up-to-date Hamiltonian system-based symplectic superposition method. Such boundary value problems are known to be very difficult and they were generally solved by the approximate/numerical methods. The present analytic solutions are expected to be the benchmarks for future verification of other methods. The advantage of the method is that the solution procedure is conducted in the symplectic space, where the symplectic eigen expansion is valid and the predetermination of the solution form is avoided. This significantly extends the approach to the analytic solutions of similar problems. (C) 2015 Elsevier Inc. All rights reserved.