Vaš brskalnik ne omogoča JavaScript!
JavaScript je nujen za pravilno delovanje teh spletnih strani. Omogočite JavaScript ali pa uporabite sodobnejši brskalnik.
Nacionalni portal odprte znanosti
Odprta znanost
DiKUL
slv
|
eng
Iskanje
Brskanje
Novo v RUL
Kaj je RUL
V številkah
Pomoč
Prijava
Quaternion-based dynamics of geometrically nonlinear spatial beams using the Runge-Kutta method
ID
Zupan, Eva
(
Avtor
),
ID
Saje, Miran
(
Avtor
),
ID
Zupan, Dejan
(
Avtor
)
PDF - Predstavitvena datoteka,
prenos
(832,88 KB)
MD5: C177ABEB8F8DBB9EEE1FCADEC6BE6053
PID:
20.500.12556/rul/0dd64a74-f256-4e1a-860d-3bb941400d3e
Galerija slik
Izvleček
The rotational quaternions are the unique four dimensional representation of rotations in three dimensional Euclidean space. In the present paper on the dynamics of non-linear spatial beams, they are used as the basic rotational parameters in formulating the finite-element approach of geometrically exact beam-like structures. The classical concept of parametrizing the rotation matrix by the rotational vector is completely abandoned so that the only rotational parameters are the rotational quaternions representing both rotations and rotational strains in the beam. Because the quaternions are the elements of a four dimensional linear space, their use is an advantage compared to the elements of the special orthogonal group SO(3). This makes possible, e.g. to interpolate the rotational quaternions in a standard additive way and to apply standard Runge-Kutta time integration methods. The present finite-element realization of such a quaternion-based beam theory introduces some further ideas including the use of collocation, the weak form of the consistency equations and the symmetrically integrated boundary conditions which enhances the accuracy or efficiency of the solution and avoids the differential-algebraic type of the discretized governing equations often met in classical formulations. The main advantage of the proposed dynamics formulation is probably its simple implementation into the standard Runge-Kutta procedures. Thus several benefits of the Runge-Kutta methods such as the absence of the analytical linearization of the discrete governing equations, the local error control and the adaptive time steps are automatically incorporated in the present procedure.
Jezik:
Angleški jezik
Ključne besede:
non-linear beam theory
,
dynamics analysis
,
finite element method
,
three-dimensional rotations
,
quaternion
,
Runge-Kutta methods
Tipologija:
1.01 - Izvirni znanstveni članek
Organizacija:
FGG - Fakulteta za gradbeništvo in geodezijo
Založnik:
Elsevier
Leto izida:
2012
Št. strani:
Str. 48-60
Številčenje:
Letn. 54, Letn. 54
PID:
20.500.12556/RUL-32173
UDK:
531:624.072.2
ISSN pri članku:
0168-874X
DOI:
10.1016/j.finel.2012.01.007
COBISS.SI-ID:
5751393
Datum objave v RUL:
10.07.2015
Število ogledov:
4872
Število prenosov:
1064
Metapodatki:
Citiraj gradivo
Navadno besedilo
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago 17th Author-Date
Harvard
IEEE
ISO 690
MLA
Vancouver
:
Kopiraj citat
Objavi na:
Gradivo je del revije
Naslov:
Finite elements in analysis and design
Skrajšan naslov:
Finite elem. anal. des.
Založnik:
Elsevier
ISSN:
0168-874X
COBISS.SI-ID:
579602
Sekundarni jezik
Jezik:
Angleški jezik
Ključne besede:
nelinearna teorija nosilcev
,
dinamična analiza
,
metoda končnih elementov
,
prostorska rotacije
,
kvaternioni
,
metoda Runge-Kutta
Podobna dela
Podobna dela v RUL:
Podobna dela v drugih slovenskih zbirkah:
Nazaj