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

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A new Approach to the Problem of an Elastic Beam Resting on a Foundation
Original language 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, 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.
Czech name
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Czech description
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Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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