title: Suppression of limit cycle oscillations using the nonlinear tuned vibration absorber.
abstract: The objective of this study is to mitigate, or even completely eliminate, the limit cycle oscillations in mechanical systems using a passive nonlinear absorber, termed the nonlinear tuned vibration absorber (NLTVA). An unconventional aspect of the NLTVA is that the mathematical form of its restoring force is not imposed a priori, as it is the case for most existing nonlinear absorbers. The NLTVA parameters are determined analytically using stability and bifurcation analyses, and the resulting design is validated using numerical continuation. The proposed developments are illustrated using a Van der Pol-Duffing primary system.
authors.affiliation: Space Structures and Systems Laboratory, Department of Aerospace and Mechanical Engineering , University of Liège , Liège, Belgium.
authors.forename: G
authors.initials: G
authors.lastname: Habib
authors.affiliation: Space Structures and Systems Laboratory, Department of Aerospace and Mechanical Engineering , University of Liège , Liège, Belgium.
authors.forename: G
authors.initials: G
authors.lastname: Kerschen
keywords: bifurcation analysis; limit cycle oscillations; nonlinearity synthesis; stability analysis; vibration absorber