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Application of control-based continuation to a nonlinear structure with harmonically coupled modes
Mechanical Systems and Signal Processing, Volume: 120, Pages: 449 - 464
Swansea University Author: Alexander Shaw
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DOI (Published version): 10.1016/j.ymssp.2018.10.008
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 couplin...
Published in: | Mechanical Systems and Signal Processing |
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ISSN: | 0888-3270 |
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2019
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URI: | https://cronfa.swan.ac.uk/Record/cronfa44937 |
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2020-12-17T15:44:08.9035845 v2 44937 2018-10-17 Application of control-based continuation to a nonlinear structure with harmonically coupled modes 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 2018-10-17 AERO 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 (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. Journal Article Mechanical Systems and Signal Processing 120 449 464 0888-3270 Nonlinear dynamics, Experiment, Control-based continuation, Multi-degree-of-freedom, Modal interaction, Isola 1 4 2019 2019-04-01 10.1016/j.ymssp.2018.10.008 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2020-12-17T15:44:08.9035845 2018-10-17T16:15:49.4537535 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering L. Renson 1 Alexander Shaw 0000-0002-7521-827X 2 D.A.W. Barton 3 S.A. Neild 4 0044937-17102018161954.pdf renson2018.pdf 2018-10-17T16:19:54.1070000 Output 667132 application/pdf Accepted Manuscript true 2019-11-01T00:00:00.0000000 true eng |
title |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes |
spellingShingle |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes Alexander Shaw |
title_short |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes |
title_full |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes |
title_fullStr |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes |
title_full_unstemmed |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes |
title_sort |
Application of control-based continuation to a nonlinear structure with harmonically coupled modes |
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10cb5f545bc146fba9a542a1d85f2dea |
author_id_fullname_str_mv |
10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw |
author |
Alexander Shaw |
author2 |
L. Renson Alexander Shaw D.A.W. Barton S.A. Neild |
format |
Journal article |
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Mechanical Systems and Signal Processing |
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120 |
container_start_page |
449 |
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2019 |
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Swansea University |
issn |
0888-3270 |
doi_str_mv |
10.1016/j.ymssp.2018.10.008 |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering |
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description |
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 (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. |
published_date |
2019-04-01T03:56:26Z |
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1763752842902896640 |
score |
10.997933 |