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

Zupan, Dejan (author), Saje, Miran (author)

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.

• Language: English
• Keywords: non-linear beam theory, finite element method, three-dimensional rotation
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: Elsevier
• Year: 2004
• Number of pages: Str. [2027]-2040
• Numbering: Vol. 82, Vol. 82
• PID: 20.500.12556/RUL-32159
• UDC: 624.072:519.63
• ISSN on article: 0045-7949
• DOI: 10.1016/j.compstruc.2004.03.069
• COBISS.SI-ID: 2475105
• Publication date in RUL: 10.07.2015

ZUPAN, Dejan and SAJE, Miran, 2004, Rotational invariants in finite element formulation of three-dimensional beam theories. Computers & structures [online]. 2004. Vol. 82, no. 82, p. 2027–2040. [Accessed 6 April 2025]. DOI 10.1016/j.compstruc.2004.03.069. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=32159

Record is a part of a journal

• Title: Computers & structures
• Shortened title: Comput. struct.
• Publisher: Elsevier
• ISSN: 0045-7949
• COBISS.SI-ID: 4419338

Secondary language

• Language: English
• Keywords: nelinearna teorija nosilcev, metoda končnih elementov, prostorske rotacije