Release Time:2019-03-10 Hits:
Indexed by: Journal Article
Date of Publication: 2001-08-01
Journal: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Included Journals: EI、SCIE、Scopus
Volume: 38
Issue: 32-33
Page Number: 5807-5817
ISSN: 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.