The beam equation as a limit of a I-D nonlinear von Karman model

Authors
Menzala, GP Zuazua, E
Citation
Gp. Menzala et E. Zuazua, The beam equation as a limit of a I-D nonlinear von Karman model, APPL MATH L, 12(1), 1999, pp. 47-52
Citations number
7
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
1
Year of publication
1999
Pages
47 - 52
Database
ISI
SICI code
0893-9659(199901)12:1<47:TBEAAL>2.0.ZU;2-5
Abstract
We prove that the one-dimensional von Karman system of equations describing the planar motion of a uniform prismatic beam of length L approaches (weak ly) to a nonlocal beam equation of Timoshenko's type as a suitable paramete r tends to sere. (C) 1998 Elsevier Science Ltd. All rights reserved.