Eva Zupan (Author), Miran Saje (Author), Dejan Zupan (Author)

Abstract

This paper presents the equations for the implementation of rotational quaternions in the geometrically exact three-dimensional beam theory. A new finite-element formulation is proposed in which the rotational quaternions are used for parametrization of rotations along the length of the beam. The formulation also satisfies the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal in its weak form. A strict use of the quaternion algebra in the derivation of governing equations and for the numerical solution is presented. Several numerical examples demonstrate the validity, performance and accuracy of the proposed approach. (C) 2009 Elsevier B.V. All rights reserved.

Keywords

kvaternioni;prostorski nosilci;prostorske rotacije;interpolacija rotacij;quaternions;three-dimensional beam;three-dimensional rotation;interpolation of rotations;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
Publisher: Elsevier
UDC: 624.072.2
COBISS: 4800353 Link will open in a new window
ISSN: 0045-7825
Views: 2270
Downloads: 957
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Other data

Secondary language: English
Secondary keywords: kvaternioni;prostorski nosilci;prostorske rotacije;interpolacija rotacij;
File type: application/pdf
Type (COBISS): Not categorized
Pages: str. 3944-3956
Volume: ǂLetn. ǂ198
Issue: ǂšt. ǂ49/52
Chronology: 2009
DOI: 10.1016/j.cma.2009.09.002
ID: 8312337