Solving the beam bending problem with an unilateral Winkler foundation

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Solving the beam bending problem with an unilateral Winkler foundation

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Solving the beam bending problem with an unilateral Winkler foundation

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Numerical Analysis and Applied Mathematics ICNAAM 2011

ISBN

978-0-7354-0956-9

ISSN

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e-ISSN

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Počet stran výsledku

5

Strana od-do

1820-1824

Název nakladatele

Springer New York

Místo vydání

New York

Místo konání akce

Chalkidiki, Řecko

Datum konání akce

19. 9. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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