Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 189-212 |
| Seitenumfang | 24 |
| Fachzeitschrift | Nonlinear dynamics |
| Jahrgang | 11 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - Okt. 1996 |
| Extern publiziert | Ja |
Abstract
The paper is concerned with a hybrid finite element formulation for the geometrically exact dynamics of rods with applications to chaotic motion. The rod theory is developed for in-plane motions using the direct approach where the rod is treated as a one-dimensional Cosserat line. Shear deformation is included in the formulation. Within the elements, a linear distribution of the kinematical fields is combined with a constant distribution of the normal and shear forces. For time integration, the mid-point rule is employed. Various numerical examples of chaotic motion of straight and initially curved rods are presented proving the powerfulness and applicability of the finite element formulation.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Steuerungs- und Systemtechnik
- Ingenieurwesen (insg.)
- Luft- und Raumfahrttechnik
- Ingenieurwesen (insg.)
- Meerestechnik
- Ingenieurwesen (insg.)
- Maschinenbau
- Mathematik (insg.)
- Angewandte Mathematik
- Ingenieurwesen (insg.)
- Elektrotechnik und Elektronik
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in: Nonlinear dynamics, Jahrgang 11, Nr. 2, 10.1996, S. 189-212.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A finite element approach to the chaotic motion of geometrically exact rods undergoing in-plane deformations
AU - Sansour, C.
AU - Sansour, J.
AU - Wriggers, Peter
PY - 1996/10
Y1 - 1996/10
N2 - The paper is concerned with a hybrid finite element formulation for the geometrically exact dynamics of rods with applications to chaotic motion. The rod theory is developed for in-plane motions using the direct approach where the rod is treated as a one-dimensional Cosserat line. Shear deformation is included in the formulation. Within the elements, a linear distribution of the kinematical fields is combined with a constant distribution of the normal and shear forces. For time integration, the mid-point rule is employed. Various numerical examples of chaotic motion of straight and initially curved rods are presented proving the powerfulness and applicability of the finite element formulation.
AB - The paper is concerned with a hybrid finite element formulation for the geometrically exact dynamics of rods with applications to chaotic motion. The rod theory is developed for in-plane motions using the direct approach where the rod is treated as a one-dimensional Cosserat line. Shear deformation is included in the formulation. Within the elements, a linear distribution of the kinematical fields is combined with a constant distribution of the normal and shear forces. For time integration, the mid-point rule is employed. Various numerical examples of chaotic motion of straight and initially curved rods are presented proving the powerfulness and applicability of the finite element formulation.
KW - Chaotic motion
KW - Finite elements
KW - Geometric exact rods
KW - Integration schemes
UR - http://www.scopus.com/inward/record.url?scp=0030270863&partnerID=8YFLogxK
U2 - 10.1007/BF00045001
DO - 10.1007/BF00045001
M3 - Article
AN - SCOPUS:0030270863
VL - 11
SP - 189
EP - 212
JO - Nonlinear dynamics
JF - Nonlinear dynamics
SN - 0924-090X
IS - 2
ER -