Solving the Beam Bending Problem with an Unilateral Winkler Foundation.
In: AIP Conference Proceedings; 2011, Vol. 1389 Issue 1, p1820-1824, 5p; Jg. 1389 (2011-09-30) 1, S. 1820-1824
Konferenz
Zugriff:
Our work is going to deal with the bending of a beam resting on an unilateral elastic foundation and develops further the ideas from the article [5]. In some cases the beam has fixed connection with the foundation. Such problems are linear. However there are applications where the beam is not connected with the foundation. This so-called unilateral case represents an interesting nonlinear problem and cannot be solved by easy means. We propose here first a new formulation of this problem which is based upon the idea of a decomposition. This way we can convert the usual variational formulation of our problem to a saddle-point formulation. In the second part of this paper we will deal with a numerical solution using the finite element method. The system of equations for the saddle point is nonlinear and nondifferentiable. It can be handled by the transformation to a complementarity problem which is solved by the nonsmooth Newton method. [ABSTRACT FROM AUTHOR]
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Titel: |
Solving the Beam Bending Problem with an Unilateral Winkler Foundation.
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Autor/in / Beteiligte Person: | Machalová, Jitka ; Netuka, Horymír |
Quelle: | AIP Conference Proceedings; 2011, Vol. 1389 Issue 1, p1820-1824, 5p; Jg. 1389 (2011-09-30) 1, S. 1820-1824 |
Veröffentlichung: | 2011 |
Medientyp: | Konferenz |
ISSN: | 0094-243X (print) |
DOI: | 10.1063/1.3636963 |
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