On evaluation of the three-dimensional isogeometric beam element

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F20%3A00336320" target="_blank" >RIV/68407700:21110/20:00336320 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.14311/APP.2020.26.0024" target="_blank" >https://doi.org/10.14311/APP.2020.26.0024</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/APP.2020.26.0024" target="_blank" >10.14311/APP.2020.26.0024</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On evaluation of the three-dimensional isogeometric beam element

Popis výsledku v původním jazyce

The exact description of the arbitrarily curved geometries, including conic sections, is an undeniable advantage of isogeometric analysis~(IGA) over standard finite element method~(FEM). With B-spline/NURBS approximation functions used for both geometry and unknown approximations, IGA is able to exactly describe beams of various shapes and thus eliminate the geometry approximation errors. Moreover, naturally higher continuity than standard $C^0$ can be provided along the entire computational domain. This paper evaluates the performance of the nonlinear spatial Bernoulli beam adapted from formulation of Bauer et al. [1]. The element formulation is presented and the comparison with standard FEM straight beam element and fully three-dimensional analysis is provided. Although the element is capable of geometrically nonlinear analysis, only geometrically linear cases are evaluated for the purposes of this study.

Název v anglickém jazyce

On evaluation of the three-dimensional isogeometric beam element

Popis výsledku anglicky

The exact description of the arbitrarily curved geometries, including conic sections, is an undeniable advantage of isogeometric analysis~(IGA) over standard finite element method~(FEM). With B-spline/NURBS approximation functions used for both geometry and unknown approximations, IGA is able to exactly describe beams of various shapes and thus eliminate the geometry approximation errors. Moreover, naturally higher continuity than standard $C^0$ can be provided along the entire computational domain. This paper evaluates the performance of the nonlinear spatial Bernoulli beam adapted from formulation of Bauer et al. [1]. The element formulation is presented and the comparison with standard FEM straight beam element and fully three-dimensional analysis is provided. Although the element is capable of geometrically nonlinear analysis, only geometrically linear cases are evaluated for the purposes of this study.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

NMM 2019 Nano & Macro Mechanics

ISBN

978-80-01-06720-8

ISSN

—

e-ISSN

2336-5382

Počet stran výsledku

6

Strana od-do

24-29

Název nakladatele

Czech Technical University in Prague

Místo vydání

Praha

Místo konání akce

Praha

Datum konání akce

11. 9. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—