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The three-dimensional beam theory : finite element formulation based on curvature
ID Zupan, Dejan (Avtor), ID Saje, Miran (Avtor)

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MD5: 065BE01F7C401F438AA41643A7194537
PID: 20.500.12556/rul/644651a0-6994-4ae8-8a21-bade177eb6ef

Izvleček
article introduces a new finite element formulation of the three-dimensional `geometrically exact finite-strain beam theory'. The formulation employs the generalized virtual work principle with the pseudo-curvature vector as the only unknown function. The solution of the governing equations is obtained by using a combined Galerkin-collocation algorithm. The collocation ensures that the equilibrium and the constitutive internal force and moment vectors are equal at a set of chosen discrete points. In Newton's iteration special update procedures for the pseudo-curvature and rotational vectors have to be employed because of the non-linearity of the configuration space. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2003 Civil-Comp Ltd. and Elsevier Ltd. All rights reserved.

Jezik:Angleški jezik
Ključne besede:three-dimensional beams, three-dimensional rotations, curvature, finite element method
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Založnik:Elsevier
Leto izida:2003
Št. strani:Str. 1875-1888
Številčenje:Letn. 81, št. 18-19
PID:20.500.12556/RUL-32161 Povezava se odpre v novem oknu
UDK:624.072:519.63
ISSN pri članku:0045-7949
DOI:10.1016/S0045-7949(03)00208-6 Povezava se odpre v novem oknu
COBISS.SI-ID:1964385 Povezava se odpre v novem oknu
Datum objave v RUL:10.07.2015
Število ogledov:5780
Število prenosov:800
Metapodatki:XML DC-XML DC-RDF
:
ZUPAN, Dejan in SAJE, Miran, 2003, The three-dimensional beam theory : finite element formulation based on curvature. Computers & structures [na spletu]. 2003. Vol. 81, no. 18–19, p. 1875–1888. [Dostopano 4 april 2025]. DOI 10.1016/S0045-7949(03)00208-6. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=32161
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Gradivo je del revije

Naslov:Computers & structures
Skrajšan naslov:Comput. struct.
Založnik:Elsevier
ISSN:0045-7949
COBISS.SI-ID:4419338 Povezava se odpre v novem oknu

Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:prostorski nosilci, rotacije, ukrivljenost, metoda končnih elementov

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