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Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures
Zupan, Dejan (Avtor), Saje, Miran (Avtor)

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Izvleček
This paper presents a new finite element formulation of the `geometrically exact finite-strain beam theory'. The governing equations of the beam element are derived in which the strain vectors are the only unknown functions. The consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. The solution is found by a collocation algorithm. The linearity of the strain space not only simplifies the application of Newton's method on the non-linear configuration space, but also leads to the strain-objectivity of the proposed method. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2003 Elsevier B.V. All rights reserved.

Jezik:Angleški jezik
Ključne besede:non-linear beam theory, finite-element method, three-dimensional rotation, rotational invariant, strain measure
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Leto izida:2003
Založnik:Elsevier
Št. strani:str. [5209]-5248
Številčenje:Vol. 192, Vol. 192
UDK:519.63:531.1
ISSN pri članku:0045-7825
DOI:10.1016/j.cma.2003.07.008 Povezava se odpre v novem oknu
COBISS.SI-ID:2087265 Povezava se odpre v novem oknu
Število ogledov:267
Število prenosov:81
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
 
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Gradivo je del revije

Naslov:Computer Methods in Applied Mechanics and Engineering
Skrajšan naslov:Comput. methods appl. mech. eng.
Založnik:North-Holland
ISSN:0045-7825
COBISS.SI-ID:6695685 Novo okno

Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:prostorski nosilci, točna teorija, nelinearnost, deformacije, metoda končnih elementov

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