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

Povzetek

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.

Ključne besede

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

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik: Elsevier
UDK: 624.072.2
COBISS: 4800353 Povezava se bo odprla v novem oknu
ISSN: 0045-7825
Št. ogledov: 2270
Št. prenosov: 957
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarne ključne besede: kvaternioni;prostorski nosilci;prostorske rotacije;interpolacija rotacij;
Vrsta datoteke: application/pdf
Vrsta dela (COBISS): Delo ni kategorizirano
Strani: str. 3944-3956
Letnik: ǂLetn. ǂ198
Zvezek: ǂšt. ǂ49/52
Čas izdaje: 2009
DOI: 10.1016/j.cma.2009.09.002
ID: 8312337