Journal
JOURNAL OF SOUND AND VIBRATION
Volume 367, Issue -, Pages 145-158Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2015.12.035
Keywords
Nonlinear normal modes; Backbone curve; Phase quadrature; Experimental continuation; Control-based continuation
Categories
Funding
- European Union
- EPSRC fellowship [EP/K005375/1]
- EPSRC Grant [EP/J008532/1, EP/K032738/1]
- EPSRC [EP/K003836/2, EP/K005375/1, EP/J008532/1, EP/K032739/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K005375/1, EP/K032739/1, EP/K003836/2, EP/J008532/1] Funding Source: researchfish
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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 adapted to follow the locus where system response and excitation are in quadrature, extracting the backbone curve of the underlying conservative system. The method is applied to a single-degree-of-freedom oscillator under base excitation, and the results are compared with the standard resonant-decay method. (C) 2016 The Authors. Published by Elsevier Ltd.
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