Original title: Isogeometrická analýza a její použití v mechanice kontinua
Translated title: Isogeometric Analysis and Applications in Continuum Mechanics
Authors: Ladecký, Martin ; Vořechovský, Miroslav (referee) ; Rozehnalová, Petra (advisor)
Document type: Master’s theses
Year: 2018
Language: cze
Publisher: Vysoké učení technické v Brně. Fakulta stavební
Abstract: [cze] [eng]
Táto práca sa zaoberá riešením úloh mechaniky kontinua Isogeometrickou metódou. Jedná sa o pomerne mladý postup, ktorý spája výhody presnej NURBS geometrie a robustnosť klasickej metódy konečných prvkov. Metódu sme v práci podrobne rozobrali a popísali na riešení rovinnej Poissonovej okrajovej úlohy. Isogeometrickú metódu sme implementovali v programe MatLab a jednotlivé algoritmy sme priložili k textu. Thesis deals with solving the problems of continuum mechanics by method of Isogeometric analysis. This relatively young method combines the advantages of precise NURBS geometry and robustness of the classical finite element method. The method is described on procedure of solving a plane Poissons boundary value problem. Solver is implemented in MatLab and algorithms are attached to the text.
Keywords: continuum mechanics; Galerkin method; Isogeometric analysis-IGA; NURBS geometry; Poissons boundary value problem; Galerkinova metóda; Isogeometrická analýza-IGA; mechanika kontinua; NURBS geometria; Poissonova okrajová úloha

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/70487

Permalink: http://www.nusl.cz/ntk/nusl-371938


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Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Master’s theses