The problem of the equilibrium of a plate reinforced with stiffeners

Citation
Ii. Vorovich et Lp. Lebedev, The problem of the equilibrium of a plate reinforced with stiffeners, J APPL MA R, 63(1), 1999, pp. 79-83
Citations number
5
Categorie Soggetti
Mechanical Engineering
Journal title
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS
ISSN journal
00218928 → ACNP
Volume
63
Issue
1
Year of publication
1999
Pages
79 - 83
Database
ISI
SICI code
0021-8928(1999)63:1<79:TPOTEO>2.0.ZU;2-5
Abstract
The problem of the equilibrium of a non-linear plate reinforced with stiffe ners is considered. The idea of a generalized solution of the problem as a critical point of the energy functional of an elastic system is introduced and the existence of a generalized solution of the problem is proved. The c onvergence of Ritz' method within the framework of this problem and also of the conformal versions of the finite-element method, constructed on the ba sis of Ritz' method, is validated. Similar problems were discussed in [1-3] . (C) 1999 Elsevier Science Ltd. All rights reserved.