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%3A10221986" target="_blank" >RIV/61989592:15310/10:10221986 - 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, i.e. firmly connected with the beam, or as unilateral, i.e. not connected with the beam. A new idea of solution consists in constructing a Lagrangian by 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. The problem solution can be realized via a system of equations which characterizes the saddle point. As for the unilateral case the system is nonlinear and nondifferentiable, wemust try either a nonsmooth Newton method or methods for nonlinear complementarity problems. An interesting way to overcome this difficulties is based on using an augmented Lagrangian method.

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, i.e. firmly connected with the beam, or as unilateral, i.e. not connected with the beam. A new idea of solution consists in constructing a Lagrangian by 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. The problem solution can be realized via a system of equations which characterizes the saddle point. As for the unilateral case the system is nonlinear and nondifferentiable, wemust try either a nonsmooth Newton method or methods for nonlinear complementarity problems. An interesting way to overcome this difficulties is based on using an augmented Lagrangian method.

Druh

C - Kapitola v odborné knize

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 knihy nebo sborníku

Beams and Frames on Elastic Foundation 3

ISBN

978-80-248-2257-0

Počet stran výsledku

15

Strana od-do

"A99"-"A113"

Počet stran knihy

611

Název nakladatele

Vysoká škola báňská - Technická univerzita

Místo vydání

Ostrava

Kód UT WoS kapitoly

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