Journal
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 120, Issue -, Pages 449-464Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2018.10.008
Keywords
Nonlinear dynamics; Experiment; Control-based continuation; Multi-degree-of-freedom; Modal interaction; Isola
Categories
Funding
- Royal Academy of Engineering [RF1516/15/11]
- EPSRC [EP/K032738/1, EP/K005375/1]
- Royal Academy of Engineering
- EPSRC
- EPSRC [EP/K032739/1, EP/P019323/1, EP/K005375/1] Funding Source: UKRI
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This paper presents a systematic method for exploring the nonlinear dynamics of multidegree-of-freedom (MDOF) physical experiments. To illustrate the power of this method, known as control-based continuation (CBC), it is applied to a nonlinear beam structure that exhibits a strong 3:1 modal coupling between its first two bending modes. CBC is able to extract a range of dynamical features, including an isola, directly from the experiment without recourse to model fitting or other indirect data-processing methods. Previously, CBC has only been applied to (essentially) single-degree-of-freedom (SDOF) experiments. This is the first experimental demonstration of CBC in the presence of complex MDOF response features such as internal resonance, isola, and Neimark-Sacker bifurcations. In this paper we show that the feedback-control methods and path-following techniques used in a SDOF context can equally be applied to MDOF systems. A low-level broadband excitation is initially applied to the experiment to obtain the requisite information for controller design and, subsequently, the physical experiment is treated as a black box that is probed using CBC. The invasiveness of the controller used is analysed and experimental results are validated with open-loop measurements. Good agreement between open- and closed-loop results is achieved, though it is found that care needs to be taken in dealing with the presence of higher-harmonics in the force applied to the structure. (C) 2018 Elsevier Ltd. All rights reserved.
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