On the dynamics of rotating and rolling structures

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.