Isogeometric Bernoulli beam element with an exact representation of concentrated loadings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F20%3A00333710" target="_blank" >RIV/68407700:21110/20:00333710 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.cma.2019.112745" target="_blank" >https://doi.org/10.1016/j.cma.2019.112745</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cma.2019.112745" target="_blank" >10.1016/j.cma.2019.112745</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Isogeometric Bernoulli beam element with an exact representation of concentrated loadings

Popis výsledku v původním jazyce

Isogeometric analysis, an alternative to standard FEA using CAD geometry representation directly for analysis, can be especially beneficial in the analysis of curved beams. The use of NURBS for both geometrical description and unknown approximations enables an exact representation of arbitrarily curved shapes and introduces higher continuity along an entire computational domain but causes oscillations in numerical solutions when concentrated loading is applied inside a domain. In this paper, this problem is clearly demonstrated and two possible methods for overcoming it are proposed and illustrated on the straight Bernoulli beam formulation. While the first method uses standard IGA procedures to reduce continuity, the second is specially tailored to the problem with no alteration of the initial basis. The advantages and disadvantages of the approaches presented are discussed and more complex problems are considered.

Název v anglickém jazyce

Isogeometric Bernoulli beam element with an exact representation of concentrated loadings

Popis výsledku anglicky

Isogeometric analysis, an alternative to standard FEA using CAD geometry representation directly for analysis, can be especially beneficial in the analysis of curved beams. The use of NURBS for both geometrical description and unknown approximations enables an exact representation of arbitrarily curved shapes and introduces higher continuity along an entire computational domain but causes oscillations in numerical solutions when concentrated loading is applied inside a domain. In this paper, this problem is clearly demonstrated and two possible methods for overcoming it are proposed and illustrated on the straight Bernoulli beam formulation. While the first method uses standard IGA procedures to reduce continuity, the second is specially tailored to the problem with no alteration of the initial basis. The advantages and disadvantages of the approaches presented are discussed and more complex problems are considered.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

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 periodika

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

e-ISSN

1879-2138

Svazek periodika

361

Číslo periodika v rámci svazku

01.04.2020

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

—

Kód UT WoS článku

000508937500020

EID výsledku v databázi Scopus

2-s2.0-85075975137