Details
| Original language | English |
|---|---|
| Pages (from-to) | 477-488 |
| Number of pages | 12 |
| Journal | Archive of applied mechanics |
| Volume | 78 |
| Issue number | 6 |
| Publication status | Published - Jun 2008 |
Abstract
The dynamics of rotating flexible bodies is influenced by gyroscopic effects, which yields complex-valued eigenvectors and a split of eigenfrequencies in comparison with a resting body depending on rotational speed. These phenomena, which have been well investigated for simple structures like elastic rings, also affect more complicated systems such as rolling drums in printing machines. The aim of this contribution is to give a clear introduction into the physics of rotating bodies, starting with a rather simple analytical model, followed by some basic experimental investigations and ending with a finite element approach of more complicated three-dimensional structures. Special care is taken for the numerical solution of complex eigenvalue problems. The results obtained in each step are discussed in detail regarding their physical meaning.
Keywords
- Arbitrary Lagrangian Eulerian, Complex eigenvalue problem, Finite element method, Gyroscopic effects, Printing machines, Rolling contact
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
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In: Archive of applied mechanics, Vol. 78, No. 6, 06.2008, p. 477-488.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the dynamics of rotating and rolling structures
AU - Nackenhorst, U.
AU - Brinkmeier, M.
PY - 2008/6
Y1 - 2008/6
N2 - The dynamics of rotating flexible bodies is influenced by gyroscopic effects, which yields complex-valued eigenvectors and a split of eigenfrequencies in comparison with a resting body depending on rotational speed. These phenomena, which have been well investigated for simple structures like elastic rings, also affect more complicated systems such as rolling drums in printing machines. The aim of this contribution is to give a clear introduction into the physics of rotating bodies, starting with a rather simple analytical model, followed by some basic experimental investigations and ending with a finite element approach of more complicated three-dimensional structures. Special care is taken for the numerical solution of complex eigenvalue problems. The results obtained in each step are discussed in detail regarding their physical meaning.
AB - The dynamics of rotating flexible bodies is influenced by gyroscopic effects, which yields complex-valued eigenvectors and a split of eigenfrequencies in comparison with a resting body depending on rotational speed. These phenomena, which have been well investigated for simple structures like elastic rings, also affect more complicated systems such as rolling drums in printing machines. The aim of this contribution is to give a clear introduction into the physics of rotating bodies, starting with a rather simple analytical model, followed by some basic experimental investigations and ending with a finite element approach of more complicated three-dimensional structures. Special care is taken for the numerical solution of complex eigenvalue problems. The results obtained in each step are discussed in detail regarding their physical meaning.
KW - Arbitrary Lagrangian Eulerian
KW - Complex eigenvalue problem
KW - Finite element method
KW - Gyroscopic effects
KW - Printing machines
KW - Rolling contact
UR - http://www.scopus.com/inward/record.url?scp=42349113443&partnerID=8YFLogxK
U2 - 10.1007/s00419-008-0216-7
DO - 10.1007/s00419-008-0216-7
M3 - Article
AN - SCOPUS:42349113443
VL - 78
SP - 477
EP - 488
JO - Archive of applied mechanics
JF - Archive of applied mechanics
SN - 0939-1533
IS - 6
ER -