No Cover Image

Journal article 351 views 24 downloads

An investigation into model extrapolation and stability in the system identification of a nonlinear structure

D. Anastasio Orcid Logo, S. Marchesiello Orcid Logo, G. Gatti Orcid Logo, P. J. P. Gonçalves Orcid Logo, Alexander Shaw Orcid Logo, M. J. Brennan Orcid Logo

Nonlinear Dynamics, Volume: 111

Swansea University Author: Alexander Shaw Orcid Logo

  • 63999.VOR.pdf

    PDF | Version of Record

    This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.

    Download (2MB)

Check full text

DOI (Published version): 10.1007/s11071-023-08770-7

Abstract

Estimating a nonlinear model from experimental measurements of a vibrating structure remains a challenge, despite huge progress in recent years. A major issue is that the dynamical behaviour of a nonlinear structure strongly depends on the magnitude of the displacement response. Thus, the validity o...

Full description

Published in: Nonlinear Dynamics
ISSN: 0924-090X 1573-269X
Published: Springer Science and Business Media LLC 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa63999
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2023-08-18T10:37:15Z
last_indexed 2023-08-18T10:37:15Z
id cronfa63999
recordtype SURis
fullrecord <?xml version="1.0" encoding="utf-8"?><rfc1807 xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema"><bib-version>v2</bib-version><id>63999</id><entry>2023-07-31</entry><title>An investigation into model extrapolation and stability in the system identification of a nonlinear structure</title><swanseaauthors><author><sid>10cb5f545bc146fba9a542a1d85f2dea</sid><ORCID>0000-0002-7521-827X</ORCID><firstname>Alexander</firstname><surname>Shaw</surname><name>Alexander Shaw</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2023-07-31</date><deptcode>AERO</deptcode><abstract>Estimating a nonlinear model from experimental measurements of a vibrating structure remains a challenge, despite huge progress in recent years. A major issue is that the dynamical behaviour of a nonlinear structure strongly depends on the magnitude of the displacement response. Thus, the validity of an identified model is generally limited to a certain range of motion. Also, outside this range, the stability of the solutions predicted by the model are not guaranteed. This raises the question as to how a nonlinear model derived using data from relatively low amplitude excitation can be used to predict the dynamical behaviour for higher amplitude excitation. This paper focuses on this problem, investigating the extrapolation capabilities of data-driven nonlinear state-space models based on a subspace approach. The experimental vibrating structure consists of a cantilever beam in which magnets are used to generate strong geometric nonlinearity. The beam is driven by an electrodynamic shaker using several levels of broadband random noise. Acceleration data from the beam tip are used to derive nonlinear state-space models for the structure. It is shown that model predictions errors generally tend to increase when extrapolating towards higher excitation levels. Furthermore, the validity of the estimated nonlinear models become poor for very strong nonlinear behaviour. Linearised models are also estimated to have a complete view of the performance of each candidate model.</abstract><type>Journal Article</type><journal>Nonlinear Dynamics</journal><volume>111</volume><journalNumber/><paginationStart/><paginationEnd/><publisher>Springer Science and Business Media LLC</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0924-090X</issnPrint><issnElectronic>1573-269X</issnElectronic><keywords>Nonlinear system identification, Extrapolation, Interpolation, Stability, Data-driven</keywords><publishedDay>29</publishedDay><publishedMonth>7</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-07-29</publishedDate><doi>10.1007/s11071-023-08770-7</doi><url>http://dx.doi.org/10.1007/s11071-023-08770-7</url><notes/><college>COLLEGE NANME</college><department>Aerospace Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>AERO</DepartmentCode><institution>Swansea University</institution><apcterm>Another institution paid the OA fee</apcterm><funders>Open access funding provided by Politecnico di Torino within the CRUI-CARE Agreement.</funders><projectreference/><lastEdited>2023-09-05T12:02:29.7879167</lastEdited><Created>2023-07-31T10:02:46.6720858</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering</level></path><authors><author><firstname>D.</firstname><surname>Anastasio</surname><orcid>0000-0002-9886-7125</orcid><order>1</order></author><author><firstname>S.</firstname><surname>Marchesiello</surname><orcid>0000-0001-6906-748x</orcid><order>2</order></author><author><firstname>G.</firstname><surname>Gatti</surname><orcid>0000-0001-6390-8073</orcid><order>3</order></author><author><firstname>P. J. P.</firstname><surname>Gonçalves</surname><orcid>0000-0001-7983-5665</orcid><order>4</order></author><author><firstname>Alexander</firstname><surname>Shaw</surname><orcid>0000-0002-7521-827X</orcid><order>5</order></author><author><firstname>M. J.</firstname><surname>Brennan</surname><orcid>0000-0001-5874-5863</orcid><order>6</order></author></authors><documents><document><filename>63999__28312__f0dd7dc4dc2c4fd4846cb18cfbfc94d1.pdf</filename><originalFilename>63999.VOR.pdf</originalFilename><uploaded>2023-08-18T11:35:59.8266434</uploaded><type>Output</type><contentLength>2093267</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling v2 63999 2023-07-31 An investigation into model extrapolation and stability in the system identification of a nonlinear structure 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 2023-07-31 AERO Estimating a nonlinear model from experimental measurements of a vibrating structure remains a challenge, despite huge progress in recent years. A major issue is that the dynamical behaviour of a nonlinear structure strongly depends on the magnitude of the displacement response. Thus, the validity of an identified model is generally limited to a certain range of motion. Also, outside this range, the stability of the solutions predicted by the model are not guaranteed. This raises the question as to how a nonlinear model derived using data from relatively low amplitude excitation can be used to predict the dynamical behaviour for higher amplitude excitation. This paper focuses on this problem, investigating the extrapolation capabilities of data-driven nonlinear state-space models based on a subspace approach. The experimental vibrating structure consists of a cantilever beam in which magnets are used to generate strong geometric nonlinearity. The beam is driven by an electrodynamic shaker using several levels of broadband random noise. Acceleration data from the beam tip are used to derive nonlinear state-space models for the structure. It is shown that model predictions errors generally tend to increase when extrapolating towards higher excitation levels. Furthermore, the validity of the estimated nonlinear models become poor for very strong nonlinear behaviour. Linearised models are also estimated to have a complete view of the performance of each candidate model. Journal Article Nonlinear Dynamics 111 Springer Science and Business Media LLC 0924-090X 1573-269X Nonlinear system identification, Extrapolation, Interpolation, Stability, Data-driven 29 7 2023 2023-07-29 10.1007/s11071-023-08770-7 http://dx.doi.org/10.1007/s11071-023-08770-7 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University Another institution paid the OA fee Open access funding provided by Politecnico di Torino within the CRUI-CARE Agreement. 2023-09-05T12:02:29.7879167 2023-07-31T10:02:46.6720858 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering D. Anastasio 0000-0002-9886-7125 1 S. Marchesiello 0000-0001-6906-748x 2 G. Gatti 0000-0001-6390-8073 3 P. J. P. Gonçalves 0000-0001-7983-5665 4 Alexander Shaw 0000-0002-7521-827X 5 M. J. Brennan 0000-0001-5874-5863 6 63999__28312__f0dd7dc4dc2c4fd4846cb18cfbfc94d1.pdf 63999.VOR.pdf 2023-08-18T11:35:59.8266434 Output 2093267 application/pdf Version of Record true This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. true eng http://creativecommons.org/licenses/by/4.0/
title An investigation into model extrapolation and stability in the system identification of a nonlinear structure
spellingShingle An investigation into model extrapolation and stability in the system identification of a nonlinear structure
Alexander Shaw
title_short An investigation into model extrapolation and stability in the system identification of a nonlinear structure
title_full An investigation into model extrapolation and stability in the system identification of a nonlinear structure
title_fullStr An investigation into model extrapolation and stability in the system identification of a nonlinear structure
title_full_unstemmed An investigation into model extrapolation and stability in the system identification of a nonlinear structure
title_sort An investigation into model extrapolation and stability in the system identification of a nonlinear structure
author_id_str_mv 10cb5f545bc146fba9a542a1d85f2dea
author_id_fullname_str_mv 10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw
author Alexander Shaw
author2 D. Anastasio
S. Marchesiello
G. Gatti
P. J. P. Gonçalves
Alexander Shaw
M. J. Brennan
format Journal article
container_title Nonlinear Dynamics
container_volume 111
publishDate 2023
institution Swansea University
issn 0924-090X
1573-269X
doi_str_mv 10.1007/s11071-023-08770-7
publisher Springer Science and Business Media LLC
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
url http://dx.doi.org/10.1007/s11071-023-08770-7
document_store_str 1
active_str 0
description Estimating a nonlinear model from experimental measurements of a vibrating structure remains a challenge, despite huge progress in recent years. A major issue is that the dynamical behaviour of a nonlinear structure strongly depends on the magnitude of the displacement response. Thus, the validity of an identified model is generally limited to a certain range of motion. Also, outside this range, the stability of the solutions predicted by the model are not guaranteed. This raises the question as to how a nonlinear model derived using data from relatively low amplitude excitation can be used to predict the dynamical behaviour for higher amplitude excitation. This paper focuses on this problem, investigating the extrapolation capabilities of data-driven nonlinear state-space models based on a subspace approach. The experimental vibrating structure consists of a cantilever beam in which magnets are used to generate strong geometric nonlinearity. The beam is driven by an electrodynamic shaker using several levels of broadband random noise. Acceleration data from the beam tip are used to derive nonlinear state-space models for the structure. It is shown that model predictions errors generally tend to increase when extrapolating towards higher excitation levels. Furthermore, the validity of the estimated nonlinear models become poor for very strong nonlinear behaviour. Linearised models are also estimated to have a complete view of the performance of each candidate model.
published_date 2023-07-29T12:02:31Z
_version_ 1776195208670609408
score 11.028886

Similar Items