location: Current position: Home >> Scientific Research >> Paper Publications

Hamiltonian system based Saint Venant solutions for multi-layered composite plane anisotropic plates

Hits:

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.

Pre One:基于平面弹性-板弯曲模拟关系的薄板有限元列式——从膜单元到薄板单元

Next One:A restudy of the paradox on an elastic wedge based on the Hamiltonian system