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  • 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
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 244729
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/10:10221986
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • beam bending problem,Winkler-Pasternak foundation, one-sided nonlinear problem, saddle-point formulation, (en)
http://linked.open.../riv/klicoveSlovo
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
http://linked.open...ichTvurcuVysledku
http://linked.open...v/pocetStranKnihy
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Machalová, Jitka
  • Netuka, Horymír
http://linked.open...n/vavai/riv/zamer
number of pages
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
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