Rotational invariants in finite element formulation of three-dimensional beam theories

Zupan, Dejan (avtor), Saje, Miran (avtor)

This paper introduces a new finite element formulation of the `geometrically exact finite-strain beam theory'. The formulation employs the generalized virtual work principle. In the resulting governing equations of the beam, 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 accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2004 Civil-Comp Ltd. and Elsevier Ltd. All rights reserved.

• Jezik: Angleški jezik
• Ključne besede: non-linear beam theory, finite element method, three-dimensional rotation
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Založnik: Elsevier
• Leto izida: 2004
• Št. strani: Str. [2027]-2040
• Številčenje: Vol. 82, Vol. 82
• PID: 20.500.12556/RUL-32159
• UDK: 624.072:519.63
• ISSN pri članku: 0045-7949
• DOI: 10.1016/j.compstruc.2004.03.069
• COBISS.SI-ID: 2475105
• Datum objave v RUL: 10.07.2015

ZUPAN, Dejan in SAJE, Miran, 2004, Rotational invariants in finite element formulation of three-dimensional beam theories. Computers & structures [na spletu]. 2004. Vol. 82, no. 82, p. 2027–2040. [Dostopano 2 april 2025]. DOI 10.1016/j.compstruc.2004.03.069. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=32159

Gradivo je del revije

• Naslov: Computers & structures
• Skrajšan naslov: Comput. struct.
• Založnik: Elsevier
• ISSN: 0045-7949
• COBISS.SI-ID: 4419338

Sekundarni jezik

• Jezik: Angleški jezik
• Ključne besede: nelinearna teorija nosilcev, metoda končnih elementov, prostorske rotacije