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Application of control-based continuation to a nonlinear structure with harmonically coupled modes

L. Renson, Alexander Shaw Orcid Logo, D.A.W. Barton, S.A. Neild

Mechanical Systems and Signal Processing, Volume: 120, Pages: 449 - 464

Swansea University Author: Alexander Shaw Orcid Logo

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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...

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Published in: Mechanical Systems and Signal Processing
ISSN: 0888-3270
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa44937
first_indexed 2018-10-17T19:17:34Z
last_indexed 2020-12-18T04:06:09Z
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spelling 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 ACEM 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, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM 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
author_id_str_mv 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
container_title Mechanical Systems and Signal Processing
container_volume 120
container_start_page 449
publishDate 2019
institution Swansea University
issn 0888-3270
doi_str_mv 10.1016/j.ymssp.2018.10.008
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str 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
document_store_str 1
active_str 0
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 2019-04-01T04:25:57Z
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score 11.089572

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