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%3A10221998" target="_blank" >RIV/61989592:15310/10:10221998 - 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 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
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

Article name in the collection
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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Number of pages
15
Pages from-to
1-15
Publisher name
Vysoká škola báňská - Technická univerzita
Place of publication
Ostrava
Event location
Ostrava
Event date
Sep 13, 2010
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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