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Experimental Tracking of Limit-Point Bifurcations and Backbone Curves Using Control-Based Continuation.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Jan2017, Vol. 27 Issue 1, p-1. 19p. - Publication Year :
- 2017
-
Abstract
- Control-based continuation (CBC) is a means of applying numerical continuation directly to a physical experiment for bifurcation analysis without the use of a mathematical model. CBC enables the detection and tracking of bifurcations directly, without the need for a post-processing stage as is often the case for more traditional experimental approaches. In this paper, we use CBC to directly locate limit-point bifurcations of a periodically forced oscillator and track them as forcing parameters are varied. Backbone curves, which capture the overall frequency-amplitude dependence of the system's forced response, are also traced out directly. The proposed method is demonstrated on a single-degree-of-freedom mechanical system with a nonlinear stiffness characteristic. Results are presented for two configurations of the nonlinearity - one where it exhibits a hardening stiffness characteristic and one where it exhibits softening-hardening. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 27
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 121197188
- Full Text :
- https://doi.org/10.1142/S0218127417300026