Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4977110 | Mechanical Systems and Signal Processing | 2017 | 17 Pages |
Abstract
The aim of this paper is to provide an efficient frequency-domain method for bifurcation analysis of nonlinear dynamical systems. The proposed method consists in directly tracking the bifurcation points when a system parameter such as the excitation or nonlinearity level is varied. To this end, a so-called extended system comprising the equation of motion and an additional equation characterizing the bifurcation of interest is solved by means of the Harmonic Balance Method coupled with an arc-length continuation technique. In particular, an original extended system for the detection and tracking of Neimark-Sacker (secondary Hopf) bifurcations is introduced. By applying the methodology to a nonlinear energy sink and to a rotor-stator rubbing system, it is shown that the bifurcation tracking can be used to efficiently compute the boundaries of stability and/or dynamical regimes, i.e., safe operating zones.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
L. Xie, S. Baguet, B. Prabel, R. Dufour,