Solving the beam bending problem with an unilateral Winkler foundation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A10224096" target="_blank" >RIV/61989592:15310/11:10224096 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Solving the beam bending problem with an unilateral Winkler foundation
Original language description
Our work is going to deal with the bending of a beam resting on an unilateral elastic foundation and develops further the ideas from our former article. 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Analysis and Applied Mathematics ICNAAM 2011
ISBN
978-0-7354-0956-9
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
1820-1824
Publisher name
Springer New York
Place of publication
New York
Event location
Chalkidiki, Řecko
Event date
Sep 19, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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