A new approach to the problem of an elastic beam resting on a foundation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10221998" target="_blank" >RIV/61989592:15310/10:10221998 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A new approach to the problem of an elastic beam resting on a foundation

Popis výsledku v původním jazyce

The beam is considered as Euler-Bernoulli 1D model. The foundation model is assumed as Winkler's or Pasternak's type. These foundations can be handled either as classical ones or as unilateral. A new idea of solution consists in constructing a Lagrangianby means of a suitable problem decomposition, after that we are able to convert the usual variational formulation of our problem to a saddle-point formulation for the Lagrangian. Next we will deal with a numerical solution using the finite element method. Our new formulation enables to generate different finite meshes and elements for the beam and the foundation. This can be quite useful in the case of unilateral foundations. The problem solution can be realized via a system of equations which characterizes the saddle point. For the unilateral case the system is nonlinear and nondifferentiable and we can apply methods for nonlinear complementarity problems. Another way to overcome this difficulties is based on using an augmented Lagran

Název v anglickém jazyce

A new approach to the problem of an elastic beam resting on a foundation

Popis výsledku anglicky

The beam is considered as Euler-Bernoulli 1D model. The foundation model is assumed as Winkler's or Pasternak's type. These foundations can be handled either as classical ones or as unilateral. A new idea of solution consists in constructing a Lagrangianby means of a suitable problem decomposition, after that we are able to convert the usual variational formulation of our problem to a saddle-point formulation for the Lagrangian. Next we will deal with a numerical solution using the finite element method. Our new formulation enables to generate different finite meshes and elements for the beam and the foundation. This can be quite useful in the case of unilateral foundations. The problem solution can be realized via a system of equations which characterizes the saddle point. For the unilateral case the system is nonlinear and nondifferentiable and we can apply methods for nonlinear complementarity problems. Another way to overcome this difficulties is based on using an augmented Lagran

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)

Rok uplatnění

2010

Kód důvěrnosti údajů

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

Název statě ve sborníku

Book of Proceedings - Mechanical Structures and Foundation Engineering 2010

ISBN

978-80-248-2256-3

ISSN

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e-ISSN

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Počet stran výsledku

15

Strana od-do

1-15

Název nakladatele

Vysoká škola báňská - Technická univerzita

Místo vydání

Ostrava

Místo konání akce

Ostrava

Datum konání akce

13. 9. 2010

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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