The three-dimensional beam theory : finite element formulation based on curvature

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

article introduces a new finite element formulation of the three-dimensional `geometrically exact finite-strain beam theory'. The formulation employs the generalized virtual work principle with the pseudo-curvature vector as the only unknown function. The solution of the governing equations is obtained by using a combined Galerkin-collocation algorithm. The collocation ensures that the equilibrium and the constitutive internal force and moment vectors are equal at a set of chosen discrete points. In Newton's iteration special update procedures for the pseudo-curvature and rotational vectors have to be employed because of the non-linearity of the configuration space. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2003 Civil-Comp Ltd. and Elsevier Ltd. All rights reserved.

• Jezik: Angleški jezik
• Ključne besede: three-dimensional beams, three-dimensional rotations, curvature, finite element method
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Založnik: Elsevier
• Leto izida: 2003
• Št. strani: Str. 1875-1888
• Številčenje: Letn. 81, št. 18-19
• PID: 20.500.12556/RUL-32161
• UDK: 624.072:519.63
• ISSN pri članku: 0045-7949
• DOI: 10.1016/S0045-7949(03)00208-6
• COBISS.SI-ID: 1964385
• Datum objave v RUL: 10.07.2015

ZUPAN, Dejan in SAJE, Miran, 2003, The three-dimensional beam theory : finite element formulation based on curvature. Computers & structures [na spletu]. 2003. Vol. 81, no. 18–19, p. 1875–1888. [Dostopano 28 marec 2025]. DOI 10.1016/S0045-7949(03)00208-6. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=32161

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: prostorski nosilci, rotacije, ukrivljenost, metoda končnih elementov