Veering Phenomena in Systems With Gyroscopic Coupling

Abstract

The sharp divergence of two root-loci for a critical value of the parameters is called veering. Veering phenomena are interesting since they involve relevant energetic exchanges between the eigenmodes and strongly affect the undamped forced response of the system. A straightforward perturbation approach has already been used in the literature to analyze the dependence of the eigensprectrum on a system parameter and formulate a veering criterion. This perturbation approach and other ideas are generalized to the study of veering in discrete and continuous systems with gyroscopic operators of internal coupling and the results applied to a real electromechanical interaction.