Details
| Original language | English |
|---|---|
| Pages (from-to) | 189-212 |
| Number of pages | 24 |
| Journal | Nonlinear dynamics |
| Volume | 11 |
| Issue number | 2 |
| Publication status | Published - Oct 1996 |
| Externally published | Yes |
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.
Keywords
- Chaotic motion, Finite elements, Geometric exact rods, Integration schemes
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
- Engineering(all)
- Electrical and Electronic Engineering
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In: Nonlinear dynamics, Vol. 11, No. 2, 10.1996, p. 189-212.
Research output: Contribution to journal › Article › Research › 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 -