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

Dejan Zupan in Miran Saje (2004) Rotational invariants in finite element formulation of three-dimensional beam theories. Computers & Structures, 82 (23-26). str. 2027-2040. ISSN 00457949

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    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.

    Vrsta dela: Članek
    Dodatne informacije: 6th International Conference o Computational Structures Technology/3rd International Conference on Engineering Computational Technology, Czech Tech Univ, Fac Civil Engn, Prague, CZECH REPUBLIC, SEP 04-06, 2002
    Ključne besede: non-linear beam theory, finite element method, three-dimensional rotation, rotational invariant, strain measure, invariant preserving algorithm
    Povezava na COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50057&select=(ID=2475105)
    Ustanova: Univerza v Ljubljani
    Fakulteta: Fakulteta za gradbeništvo in geodezijo
    Katedre: Fakulteta za gradbeništvo in geodezijo > Oddelek za gradbeništvo > Katedra za mehaniko (KM)
    ID vnosa: 3607
    URI: http://drugg.fgg.uni-lj.si/id/eprint/3607

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