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

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

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.

• Jezik: Angleški jezik
• Ključne besede: non-linear beam theory, finite-element method, three-dimensional rotation, rotational invariant, strain measure
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Založnik: Elsevier
• Leto izida: 2003
• Št. strani: Str. [5209]-5248
• Številčenje: Vol. 192, Vol. 192
• PID: 20.500.12556/RUL-32163
• UDK: 519.63:531.1
• ISSN pri članku: 0045-7825
• DOI: 10.1016/j.cma.2003.07.008
• COBISS.SI-ID: 2087265
• Datum objave v RUL: 10.07.2015

ZUPAN, Dejan in SAJE, Miran, 2003, Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures. Computer methods in applied mechanics and engineering [na spletu]. 2003. Vol. 192, no. 192, p. 5209–5248. [Dostopano 31 marec 2025]. DOI 10.1016/j.cma.2003.07.008. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=32163

Gradivo je del revije

• Naslov: Computer methods in applied mechanics and engineering
• Skrajšan naslov: Comput. methods appl. mech. eng.
• Založnik: Elsevier
• ISSN: 0045-7825
• COBISS.SI-ID: 6695685

Sekundarni jezik

• Jezik: Angleški jezik
• Ključne besede: prostorski nosilci, točna teorija, nelinearnost, deformacije, metoda končnih elementov