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Numerical continuation in nonlinear experiments using local Gaussian process regression
Nonlinear Dynamics, Volume: 98, Issue: 4, Pages: 2811 - 2826
Swansea University Author: Alexander Shaw
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DOI (Published version): 10.1007/s11071-019-05118-y
Abstract
Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorithm that is robust to experimental noise and enables the tracking of geometric features of the response surface such as f...
Published in: | Nonlinear Dynamics |
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ISSN: | 0924-090X 1573-269X |
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Springer Science and Business Media LLC
2019
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URI: | https://cronfa.swan.ac.uk/Record/cronfa51462 |
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2020-11-19T16:57:21.3812641 v2 51462 2019-08-19 Numerical continuation in nonlinear experiments using local Gaussian process regression 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 2019-08-19 AERO Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorithm that is robust to experimental noise and enables the tracking of geometric features of the response surface such as folds. The method uses Gaussian process regression to create a local model of the response surface on which standard numerical continuation algorithms can be applied. The local model evolves as continuation explores the experimental parameter space, exploiting previously captured data to actively select the next data points to collect such that they maximise the potential information gain about the feature of interest. The method is demonstrated experimentally on a nonlinear structure featuring harmonically coupled modes. Fold points present in the response surface of the system are followed and reveal the presence of an isola, i.e. a branch of periodic responses detached from the main resonance peak. Journal Article Nonlinear Dynamics 98 4 2811 2826 Springer Science and Business Media LLC 0924-090X 1573-269X Nonlinear experiment, Control-based continuation, Regression-based continuation, Gaussian process regression, Active data selection 1 12 2019 2019-12-01 10.1007/s11071-019-05118-y COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2020-11-19T16:57:21.3812641 2019-08-19T09:31:41.1720509 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering L. Renson 1 J. Sieber 2 D. A. W. Barton 3 Alexander Shaw 0000-0002-7521-827X 4 S. A. Neild 5 0051462-22082019104243.pdf renson2019.pdf 2019-08-22T10:42:43.1870000 Output 1333578 application/pdf Accepted Manuscript true 2020-08-08T00:00:00.0000000 true eng |
title |
Numerical continuation in nonlinear experiments using local Gaussian process regression |
spellingShingle |
Numerical continuation in nonlinear experiments using local Gaussian process regression Alexander Shaw |
title_short |
Numerical continuation in nonlinear experiments using local Gaussian process regression |
title_full |
Numerical continuation in nonlinear experiments using local Gaussian process regression |
title_fullStr |
Numerical continuation in nonlinear experiments using local Gaussian process regression |
title_full_unstemmed |
Numerical continuation in nonlinear experiments using local Gaussian process regression |
title_sort |
Numerical continuation in nonlinear experiments using local Gaussian process regression |
author_id_str_mv |
10cb5f545bc146fba9a542a1d85f2dea |
author_id_fullname_str_mv |
10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw |
author |
Alexander Shaw |
author2 |
L. Renson J. Sieber D. A. W. Barton Alexander Shaw S. A. Neild |
format |
Journal article |
container_title |
Nonlinear Dynamics |
container_volume |
98 |
container_issue |
4 |
container_start_page |
2811 |
publishDate |
2019 |
institution |
Swansea University |
issn |
0924-090X 1573-269X |
doi_str_mv |
10.1007/s11071-019-05118-y |
publisher |
Springer Science and Business Media LLC |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 |
Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorithm that is robust to experimental noise and enables the tracking of geometric features of the response surface such as folds. The method uses Gaussian process regression to create a local model of the response surface on which standard numerical continuation algorithms can be applied. The local model evolves as continuation explores the experimental parameter space, exploiting previously captured data to actively select the next data points to collect such that they maximise the potential information gain about the feature of interest. The method is demonstrated experimentally on a nonlinear structure featuring harmonically coupled modes. Fold points present in the response surface of the system are followed and reveal the presence of an isola, i.e. a branch of periodic responses detached from the main resonance peak. |
published_date |
2019-12-01T04:03:21Z |
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1763753277880532992 |
score |
11.016235 |