Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures

Povzetek

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.

Ključne besede

prostorski nosilci;točna teorija;nelinearnost;deformacije;metoda končnih elementov;non-linear beam theory;finite-element method;three-dimensional rotation;rotational invariant;strain measure;

Podatki

Jezik:	Angleški jezik
Leto izida:	2003
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik:	Elsevier
UDK:	519.63:531.1
COBISS:	2087265
ISSN:	0045-7825
Št. ogledov:	2402
Št. prenosov:	991
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarne ključne besede:	prostorski nosilci;točna teorija;nelinearnost;deformacije;metoda končnih elementov;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. [5209]-5248
Letnik:	ǂVol. ǂ192
Čas izdaje:	2003
DOI:	10.1016/j.cma.2003.07.008
ID:	8312369