Technique to eliminate vibration localization

Abstract

In this article, mistuned periodic structures are considered. It is well known that some components of such structures may vibrate with small amplitudes, while some other components may vibrate with significantly large amplitudes. Such a behavior is known as vibration localization and is undesirable. An effective passive technique to eliminate vibration localization is proposed in this article. The elimination is achieved by adding small components between the structure components. It is proved that the added components eliminate vibration localization in mistuned periodic structures. The proof is established by using a dichotomy in the dynamics of the structure to which the small components are added, and by applying the singular perturbation method.