ǂThe ǂlinearized three-dimensional beam theory of naturally curved and twisted beams

ǂthe ǂstrain vectors formulation

Povzetek

This paper presents the equations of the linearized geometrically exact three-dimensional beam theory of naturally curved and twisted beams. A new finite-element formulation for the linearized theory is proposed in which the strain vectors are the only unknown functions. The linear form of the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. An arbitrary curved and twisted axis of the beam is taken into account which demands proper consideration of the non-linearity of spatial rotations. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by comparing present numerical results with various analytical and numerical results. (c) 2005 Elsevier B.V. All rights reserved.

Ključne besede

linearna teorija nosilcev;ukrivljeni nosilci;zviti nosilci;konsistentna linearizacija;deformacijske količine;prostorski nosilci;prostorske rotacije;linear beam theory;naturally curved beam;twisted beam;consistent linearization;strain measure;three-dimensional beam;three-dimensional rotation;

Podatki

Jezik:	Angleški jezik
Leto izida:	2006
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik:	Elsevier
UDK:	624.072:519.61/.64
COBISS:	3169889
ISSN:	0045-7825
Št. ogledov:	2630
Št. prenosov:	583
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarne ključne besede:	linearna teorija nosilcev;ukrivljeni nosilci;zviti nosilci;konsistentna linearizacija;deformacijske količine;prostorski nosilci;prostorske rotacije;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 4557-4578
Letnik:	Letn. 195
Zvezek:	ǂšt. ǂ33-36
Čas izdaje:	jul. 2006
DOI:	10.1016/j.cma.2005.10.002
ID:	8312359