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Indexed by:期刊论文
Date of Publication:2001-08-01
Journal:INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Included Journals:Scopus、SCIE、EI
Volume:38
Issue:32-33
Page Number:5807-5817
ISSN No.:0020-7683
Key Words:multi-layer; anisotropic plate; Hamiltonian system; Saint Venant problem; symplectic space
Abstract:This paper presents Hamiltonian system based Saint Venant solutions for the problem of multi-layered composite plane anisotropic plates. A mixed energy variational principle is proposed, and dual equations are derived in the symplectic space. The schemes of separation of variables and eigenfunction expansion, instead of the traditional semi-inverse method, are implemented, and compatibility conditions at interfaces are formulated by dual variables. By expending eigenfunctions in the subspace with zero eigenvalue, an analytical solution of a cantilever composite plate is presented to illustrate the proposed approach. (C) 2001 Elsevier Science Ltd. All rights reserved.