finite element formulation based on curvature
Dejan Zupan (Author), Miran Saje (Author)

Abstract

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.

Keywords

prostorski nosilci;rotacije;ukrivljenost;metoda končnih elementov;three-dimensional beams;three-dimensional rotations;curvature;finite element method;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
Publisher: Elsevier
UDC: 624.072:519.63
COBISS: 1964385 Link will open in a new window
ISSN: 0045-7949
Views: 2380
Downloads: 640
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Other data

Secondary language: English
Secondary keywords: prostorski nosilci;rotacije;ukrivljenost;metoda končnih elementov;
File type: application/pdf
Type (COBISS): Not categorized
Pages: str. 1875-1888
Volume: ǂLetn. ǂ81
Issue: ǂšt. ǂ18-19
Chronology: 2003
DOI: 10.1016/S0045-7949(03)00208-6
ID: 8312367