Abstract
Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator’s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.
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Acknowledgements
L.R. is a Marie-Curie COFUND Postdoctoral Fellow of the University of Liége, co-funded by the European Union, S.A.N. is funded by EPSRC fellowship EP/K005375/1, D.A.W.B. by EPSRC grant EP/K032738/1, which are gratefully acknowledged.
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Renson, L., Barton, D.A.W., Neild, S.S. (2016). Experimental Analysis of a Softening-Hardening Nonlinear Oscillator Using Control-Based Continuation. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29739-2_3
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DOI: https://doi.org/10.1007/978-3-319-29739-2_3
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