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

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

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.

• Language: English
• Keywords: three-dimensional beams, three-dimensional rotations, curvature, finite element method
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: Elsevier
• Year: 2003
• Number of pages: Str. 1875-1888
• Numbering: Letn. 81, št. 18-19
• PID: 20.500.12556/RUL-32161
• UDC: 624.072:519.63
• ISSN on article: 0045-7949
• DOI: 10.1016/S0045-7949(03)00208-6
• COBISS.SI-ID: 1964385
• Publication date in RUL: 10.07.2015

ZUPAN, Dejan and SAJE, Miran, 2003, The three-dimensional beam theory : finite element formulation based on curvature. Computers & structures [online]. 2003. Vol. 81, no. 18–19, p. 1875–1888. [Accessed 4 April 2025]. DOI 10.1016/S0045-7949(03)00208-6. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=32161

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: prostorski nosilci, rotacije, ukrivljenost, metoda končnih elementov