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Bifurcation tracking by Harmonic Balance Method for performance tuning of nonlinear dynamical systems.
- Source :
-
Mechanical Systems & Signal Processing . May2017, Vol. 88, p445-461. 17p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08883270
- Volume :
- 88
- Database :
- Academic Search Index
- Journal :
- Mechanical Systems & Signal Processing
- Publication Type :
- Academic Journal
- Accession number :
- 120322137
- Full Text :
- https://doi.org/10.1016/j.ymssp.2016.09.037