About: A new Approach to the Problem of an Elastic Beam Resting on a Foundation

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About: A new Approach to the Problem of an Elastic Beam Resting on a Foundation Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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, we must 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. 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, we must 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. (en)
Title	A new Approach to the Problem of an Elastic Beam Resting on a Foundation A new Approach to the Problem of an Elastic Beam Resting on a Foundation (en)
skos:prefLabel	A new Approach to the Problem of an Elastic Beam Resting on a Foundation A new Approach to the Problem of an Elastic Beam Resting on a Foundation (en)
skos:notation	RIV/61989592:15310/10:10221986!RIV12-MSM-15310___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6198959214)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Machalová, Jitka Netuka, Horymír
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	244729
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/10:10221986
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	beam bending problem,Winkler-Pasternak foundation, one-sided nonlinear problem, saddle-point formulation, (en)
http://linked.open.../riv/klicoveSlovo	beam bending problem saddle-point formulation Winkler-Pasternak foundation one-sided nonlinear problem
http://linked.open...ontrolniKodProRIV	[D81C2F8E8C37]
http://linked.open...i/riv/mistoVydani	Ostrava
http://linked.open...vEdiceCisloSvazku	Neuveden
http://linked.open...i/riv/nazevZdroje	Beams and Frames on Elastic Foundation 3
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...v/pocetStranKnihy	611 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Machalová, Jitka Netuka, Horymír
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
number of pages	15 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Vysoká škola báňská - Technická univerzita Ostrava
https://schema.org/isbn	978-80-248-2257-0
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	A new Approach to the Problem of an Elastic Beam Resting on a Foundation A new Approach to the Problem of an Elastic Beam Resting on a Foundation

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