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The linearized three-dimensional beam theory of naturally curved and twisted beams : the strain vectors formulation
Zupan, Dejan (Avtor), Saje, Miran (Avtor)

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Izvleček
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.

Jezik:Angleški jezik
Ključne besede:linear beam theory, naturally curved beam, twisted beam, consistent linearization, strain measure, three-dimensional beam, three-dimensional rotation
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Leto izida:2006
Založnik:Elsevier
Št. strani:str. 4557-4578
Številčenje:Letn. 195, št. 33-36
UDK:624.072:519.61/.64
ISSN pri članku:0045-7825
DOI:10.1016/j.cma.2005.10.002 Povezava se odpre v novem oknu
COBISS.SI-ID:3169889 Povezava se odpre v novem oknu
Število ogledov:490
Število prenosov:109
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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:linearna teorija nosilcev, ukrivljeni nosilci, zviti nosilci, konsistentna linearizacija, deformacijske količine, prostorski nosilci, prostorske rotacije

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