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Abstract
This paper presents a systematic method for exploring the nonlinear dynamics of multi-degree-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 experiments; in this paper we show that the required feedback-control methods and path-following techniques 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.
Previously, CBC has only been applied to (essentially) single-degree-of-freedom experiments; in this paper we show that the required feedback-control methods and path-following techniques 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.
Original language | English |
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Pages (from-to) | 449-464 |
Number of pages | 16 |
Journal | Mechanical Systems and Signal Processing |
Volume | 120 |
Early online date | 1 Nov 2018 |
DOIs | |
Publication status | Published - 1 Apr 2019 |
Research Groups and Themes
- Engineering Mathematics Research Group
Keywords
- nonlinear dynamics
- experiment
- control-based continuation
- multi-degree-of-freedom
- modal interaction
- isola
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Dive into the research topics of 'Application of control-based continuation to a nonlinear structure with harmonically coupled modes'. Together they form a unique fingerprint.Projects
- 1 Finished
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Next-generation test methods for nonlinear structures (new)
Barton, D. A. W. (Principal Investigator)
1/06/17 → 30/11/20
Project: Research
Datasets
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Application of control-based continuation to a nonlinear structure with harmonically coupled modes
Renson, L. (Creator) & Barton, D. (Data Manager), University of Bristol, 24 Oct 2018
DOI: 10.5523/bris.1jlp5gsztp3xr2hngpf0q72uii, http://data.bris.ac.uk/data/dataset/1jlp5gsztp3xr2hngpf0q72uii
Dataset