No Cover Image

Journal article 85 views 28 downloads

Nonintrusive parametric solutions in structural dynamics

F. Cavaliere, S. Zlotnik, Rubén Sevilla Orcid Logo, X. Larrayoz, P. Díez

Computer Methods in Applied Mechanics and Engineering, Volume: 389, Start page: 114336

Swansea University Author: Rubén Sevilla Orcid Logo

  • 58773.pdf

    PDF | Version of Record

    © 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license

    Download (2.74MB)

Abstract

A nonintrusive reduced order method able to solve a parametric modal analysis is proposed in this work. The main objective is being able to efficiently identify how a variation of user-dened parameters affects the dynamic response of the structure in terms of fundamental natural frequencies and corr...

Full description

Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: Elsevier BV 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa58773
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2021-11-24T14:18:17Z
last_indexed 2022-01-26T04:28:52Z
id cronfa58773
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2022-01-25T15:05:45.0488704</datestamp><bib-version>v2</bib-version><id>58773</id><entry>2021-11-24</entry><title>Nonintrusive parametric solutions in structural dynamics</title><swanseaauthors><author><sid>b542c87f1b891262844e95a682f045b6</sid><ORCID>0000-0002-0061-6214</ORCID><firstname>Rub&#xE9;n</firstname><surname>Sevilla</surname><name>Rub&#xE9;n Sevilla</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2021-11-24</date><deptcode>CIVL</deptcode><abstract>A nonintrusive reduced order method able to solve a parametric modal analysis is proposed in this work. The main objective is being able to efficiently identify how a variation of user-dened parameters affects the dynamic response of the structure in terms of fundamental natural frequencies and corresponding mode shapes.A parametric version of the inverse power method (IPM) is presented by using the proper generalised decomposition (PGD) rationale. The proposed approach utilises the so-called encapsulated PGD toolbox and includes a new algorithm for computing the square root of a parametric object. With only one offline computation, the proposed PGD-IPM approach provides an analytical parametric expression of the smallest (in magnitude) eigenvalue (or natural frequency) and corresponding eigenvector (mode shape), which contains all the possible solutions for every combination of the parameters within pre-dened ranges. A Lagrange multiplier deation technique is introduced in order to compute subsequent eigenpairs, which is also valid to overcome the stiff-ness matrix singularity in the case of a free-free structure. The proposed approach is nonintrusive and it is therefore possible to be integrated with commercial nite element (FE) packages. Two numerical examples are shown to underline the properties of the technique. The rst example includes one material and one geometricparameter. The second example shows a more realistic industrial example, where the nonintrusivity of the approach is demonstrated by employing a commercial FE package for assembling the FE matrices. Finally, a multi-objective optimisation study is performed proving that the developed method could signicantly assist the decision-making during the preliminary phase of a new design process.</abstract><type>Journal Article</type><journal>Computer Methods in Applied Mechanics and Engineering</journal><volume>389</volume><journalNumber/><paginationStart>114336</paginationStart><paginationEnd/><publisher>Elsevier BV</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0045-7825</issnPrint><issnElectronic/><keywords>Algebraic PGD; Parametric Modal Analysis; Reduced Order Model; Shape Optimisation</keywords><publishedDay>1</publishedDay><publishedMonth>2</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-02-01</publishedDate><doi>10.1016/j.cma.2021.114336</doi><url/><notes/><college>COLLEGE NANME</college><department>Civil Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CIVL</DepartmentCode><institution>Swansea University</institution><apcterm/><funders>This project is part of the Marie Sk&#x142;odowska-Curie ITN-EJD ProTechTion funded by the European Union Horizon 2020 research and innovation program with Grant Number 764636. The work of Fabiola Cavaliere, Sergio Zlotnik and Pedro D&#xB4;&#x131;ez is partially supported by the MCIN/AEI/10.13039/501100011033, Spain (Grant Number: PID2020-113463RB-C32, PID2020-113463RB-C33 and CEX2018-000797-S). Ruben Sevilla also acknowledges the support of the Engineering and Physical Sciences Research Council (Grant Number: EP/P033997/1).</funders><lastEdited>2022-01-25T15:05:45.0488704</lastEdited><Created>2021-11-24T14:11:37.8620725</Created><path><level id="1">College of Engineering</level><level id="2">Engineering</level></path><authors><author><firstname>F.</firstname><surname>Cavaliere</surname><order>1</order></author><author><firstname>S.</firstname><surname>Zlotnik</surname><order>2</order></author><author><firstname>Rub&#xE9;n</firstname><surname>Sevilla</surname><orcid>0000-0002-0061-6214</orcid><order>3</order></author><author><firstname>X.</firstname><surname>Larrayoz</surname><order>4</order></author><author><firstname>P.</firstname><surname>D&#xED;ez</surname><order>5</order></author></authors><documents><document><filename>58773__22222__9f39f9a738584402b03807076e7cd41f.pdf</filename><originalFilename>58773.pdf</originalFilename><uploaded>2022-01-25T15:04:04.8794148</uploaded><type>Output</type><contentLength>2872778</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>&#xA9; 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by-nc-nd/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2022-01-25T15:05:45.0488704 v2 58773 2021-11-24 Nonintrusive parametric solutions in structural dynamics b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2021-11-24 CIVL A nonintrusive reduced order method able to solve a parametric modal analysis is proposed in this work. The main objective is being able to efficiently identify how a variation of user-dened parameters affects the dynamic response of the structure in terms of fundamental natural frequencies and corresponding mode shapes.A parametric version of the inverse power method (IPM) is presented by using the proper generalised decomposition (PGD) rationale. The proposed approach utilises the so-called encapsulated PGD toolbox and includes a new algorithm for computing the square root of a parametric object. With only one offline computation, the proposed PGD-IPM approach provides an analytical parametric expression of the smallest (in magnitude) eigenvalue (or natural frequency) and corresponding eigenvector (mode shape), which contains all the possible solutions for every combination of the parameters within pre-dened ranges. A Lagrange multiplier deation technique is introduced in order to compute subsequent eigenpairs, which is also valid to overcome the stiff-ness matrix singularity in the case of a free-free structure. The proposed approach is nonintrusive and it is therefore possible to be integrated with commercial nite element (FE) packages. Two numerical examples are shown to underline the properties of the technique. The rst example includes one material and one geometricparameter. The second example shows a more realistic industrial example, where the nonintrusivity of the approach is demonstrated by employing a commercial FE package for assembling the FE matrices. Finally, a multi-objective optimisation study is performed proving that the developed method could signicantly assist the decision-making during the preliminary phase of a new design process. Journal Article Computer Methods in Applied Mechanics and Engineering 389 114336 Elsevier BV 0045-7825 Algebraic PGD; Parametric Modal Analysis; Reduced Order Model; Shape Optimisation 1 2 2022 2022-02-01 10.1016/j.cma.2021.114336 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University This project is part of the Marie Skłodowska-Curie ITN-EJD ProTechTion funded by the European Union Horizon 2020 research and innovation program with Grant Number 764636. The work of Fabiola Cavaliere, Sergio Zlotnik and Pedro D´ıez is partially supported by the MCIN/AEI/10.13039/501100011033, Spain (Grant Number: PID2020-113463RB-C32, PID2020-113463RB-C33 and CEX2018-000797-S). Ruben Sevilla also acknowledges the support of the Engineering and Physical Sciences Research Council (Grant Number: EP/P033997/1). 2022-01-25T15:05:45.0488704 2021-11-24T14:11:37.8620725 College of Engineering Engineering F. Cavaliere 1 S. Zlotnik 2 Rubén Sevilla 0000-0002-0061-6214 3 X. Larrayoz 4 P. Díez 5 58773__22222__9f39f9a738584402b03807076e7cd41f.pdf 58773.pdf 2022-01-25T15:04:04.8794148 Output 2872778 application/pdf Version of Record true © 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Nonintrusive parametric solutions in structural dynamics
spellingShingle Nonintrusive parametric solutions in structural dynamics
Rubén Sevilla
title_short Nonintrusive parametric solutions in structural dynamics
title_full Nonintrusive parametric solutions in structural dynamics
title_fullStr Nonintrusive parametric solutions in structural dynamics
title_full_unstemmed Nonintrusive parametric solutions in structural dynamics
title_sort Nonintrusive parametric solutions in structural dynamics
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 F. Cavaliere
S. Zlotnik
Rubén Sevilla
X. Larrayoz
P. Díez
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 389
container_start_page 114336
publishDate 2022
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2021.114336
publisher Elsevier BV
college_str College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
active_str 0
description A nonintrusive reduced order method able to solve a parametric modal analysis is proposed in this work. The main objective is being able to efficiently identify how a variation of user-dened parameters affects the dynamic response of the structure in terms of fundamental natural frequencies and corresponding mode shapes.A parametric version of the inverse power method (IPM) is presented by using the proper generalised decomposition (PGD) rationale. The proposed approach utilises the so-called encapsulated PGD toolbox and includes a new algorithm for computing the square root of a parametric object. With only one offline computation, the proposed PGD-IPM approach provides an analytical parametric expression of the smallest (in magnitude) eigenvalue (or natural frequency) and corresponding eigenvector (mode shape), which contains all the possible solutions for every combination of the parameters within pre-dened ranges. A Lagrange multiplier deation technique is introduced in order to compute subsequent eigenpairs, which is also valid to overcome the stiff-ness matrix singularity in the case of a free-free structure. The proposed approach is nonintrusive and it is therefore possible to be integrated with commercial nite element (FE) packages. Two numerical examples are shown to underline the properties of the technique. The rst example includes one material and one geometricparameter. The second example shows a more realistic industrial example, where the nonintrusivity of the approach is demonstrated by employing a commercial FE package for assembling the FE matrices. Finally, a multi-objective optimisation study is performed proving that the developed method could signicantly assist the decision-making during the preliminary phase of a new design process.
published_date 2022-02-01T04:15:39Z
_version_ 1737027947023302656
score 10.896665