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

Dejan Zupan (Author), Miran Saje (Author)

Abstract

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.

Keywords

prostorski nosilci;točna teorija;nelinearnost;deformacije;metoda končnih elementov;non-linear beam theory;finite-element method;three-dimensional rotation;rotational invariant;strain measure;

Data

Language:	English
Year of publishing:	2003
Typology:	1.01 - Original Scientific Article
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
Publisher:	Elsevier
UDC:	519.63:531.1
COBISS:	2087265
ISSN:	0045-7825
Views:	2402
Downloads:	991
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary keywords:	prostorski nosilci;točna teorija;nelinearnost;deformacije;metoda končnih elementov;
File type:	application/pdf
Type (COBISS):	Not categorized
Pages:	str. [5209]-5248
Volume:	ǂVol. ǂ192
Chronology:	2003
DOI:	10.1016/j.cma.2003.07.008
ID:	8312369