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Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies

Yongliang Wang, Yang Ju, Zhuo Zhuang, Chenfeng Li Orcid Logo

Engineering Computations, Volume: 35, Issue: 3, Pages: 1203 - 1229

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1108/EC-05-2017-0176

Abstract

PurposeThis study aims to develop an adaptive finite element method for structural eigenproblems of cracked Euler–Bernoulli beams via the superconvergent patch recovery displacement technique. This research comprises the numerical algorithm and experimental results for free vibration problems (forwa...

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Published in: Engineering Computations
ISSN: 0264-4401
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa40784
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2018-09-10T10:23:29.3714843</datestamp><bib-version>v2</bib-version><id>40784</id><entry>2018-06-21</entry><title>Adaptive finite element analysis for damage detection of non-uniform Euler&#x2013;Bernoulli beams with multiple cracks based on natural frequencies</title><swanseaauthors><author><sid>82fe170d5ae2c840e538a36209e5a3ac</sid><ORCID>0000-0003-0441-211X</ORCID><firstname>Chenfeng</firstname><surname>Li</surname><name>Chenfeng Li</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2018-06-21</date><deptcode>CIVL</deptcode><abstract>PurposeThis study aims to develop an adaptive finite element method for structural eigenproblems of cracked Euler&#x2013;Bernoulli beams via the superconvergent patch recovery displacement technique. This research comprises the numerical algorithm and experimental results for free vibration problems (forward eigenproblems) and damage detection problems (inverse eigenproblems).Design/methodology/approachThe weakened properties analogy is used to describe cracks in this model. The adaptive strategy proposed in this paper provides accurate, efficient and reliable eigensolutions of frequency and mode (i.e. eigenpairs as eigenvalue and eigenfunction) for Euler&#x2013;Bernoulli beams with multiple cracks. Based on the frequency measurement method for damage detection, using the difference between the actual and computed frequencies of cracked beams, the inverse eigenproblems are solved iteratively for identifying the residuals of locations and sizes of the cracks by the Newton&#x2013;Raphson iteration technique. In the crack detection, the estimated residuals are added to obtain reliable results, which is an iteration process that will be expedited by more accurate frequency solutions based on the proposed method for free vibration problems.FindingsNumerical results are presented for free vibration problems and damage detection problems of representative non-uniform and geometrically stepped Euler&#x2013;Bernoulli beams with multiple cracks to demonstrate the effectiveness, efficiency, accuracy and reliability of the proposed method.Originality/valueThe proposed combination of methodologies described in the paper leads to a very powerful approach for free vibration and damage detection of beams with cracks, introducing the mesh refinement, that can be extended to deal with the damage detection of frame structures.</abstract><type>Journal Article</type><journal>Engineering Computations</journal><volume>35</volume><journalNumber>3</journalNumber><paginationStart>1203</paginationStart><paginationEnd>1229</paginationEnd><publisher/><issnPrint>0264-4401</issnPrint><keywords>Damage detection, Free vibration, Adaptive finite element method, Beam with multiple cracks, Forward eigenproblems, Inverse eigenproblems</keywords><publishedDay>8</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2018</publishedYear><publishedDate>2018-05-08</publishedDate><doi>10.1108/EC-05-2017-0176</doi><url/><notes/><college>COLLEGE NANME</college><department>Civil Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CIVL</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2018-09-10T10:23:29.3714843</lastEdited><Created>2018-06-21T12:18:04.8933031</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering</level></path><authors><author><firstname>Yongliang</firstname><surname>Wang</surname><order>1</order></author><author><firstname>Yang</firstname><surname>Ju</surname><order>2</order></author><author><firstname>Zhuo</firstname><surname>Zhuang</surname><order>3</order></author><author><firstname>Chenfeng</firstname><surname>Li</surname><orcid>0000-0003-0441-211X</orcid><order>4</order></author></authors><documents><document><filename>0040784-21062018122210.pdf</filename><originalFilename>wang2018(4).pdf</originalFilename><uploaded>2018-06-21T12:22:10.7070000</uploaded><type>Output</type><contentLength>1545206</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-06-21T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2018-09-10T10:23:29.3714843 v2 40784 2018-06-21 Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2018-06-21 CIVL PurposeThis study aims to develop an adaptive finite element method for structural eigenproblems of cracked Euler–Bernoulli beams via the superconvergent patch recovery displacement technique. This research comprises the numerical algorithm and experimental results for free vibration problems (forward eigenproblems) and damage detection problems (inverse eigenproblems).Design/methodology/approachThe weakened properties analogy is used to describe cracks in this model. The adaptive strategy proposed in this paper provides accurate, efficient and reliable eigensolutions of frequency and mode (i.e. eigenpairs as eigenvalue and eigenfunction) for Euler–Bernoulli beams with multiple cracks. Based on the frequency measurement method for damage detection, using the difference between the actual and computed frequencies of cracked beams, the inverse eigenproblems are solved iteratively for identifying the residuals of locations and sizes of the cracks by the Newton–Raphson iteration technique. In the crack detection, the estimated residuals are added to obtain reliable results, which is an iteration process that will be expedited by more accurate frequency solutions based on the proposed method for free vibration problems.FindingsNumerical results are presented for free vibration problems and damage detection problems of representative non-uniform and geometrically stepped Euler–Bernoulli beams with multiple cracks to demonstrate the effectiveness, efficiency, accuracy and reliability of the proposed method.Originality/valueThe proposed combination of methodologies described in the paper leads to a very powerful approach for free vibration and damage detection of beams with cracks, introducing the mesh refinement, that can be extended to deal with the damage detection of frame structures. Journal Article Engineering Computations 35 3 1203 1229 0264-4401 Damage detection, Free vibration, Adaptive finite element method, Beam with multiple cracks, Forward eigenproblems, Inverse eigenproblems 8 5 2018 2018-05-08 10.1108/EC-05-2017-0176 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2018-09-10T10:23:29.3714843 2018-06-21T12:18:04.8933031 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yongliang Wang 1 Yang Ju 2 Zhuo Zhuang 3 Chenfeng Li 0000-0003-0441-211X 4 0040784-21062018122210.pdf wang2018(4).pdf 2018-06-21T12:22:10.7070000 Output 1545206 application/pdf Accepted Manuscript true 2018-06-21T00:00:00.0000000 true eng
title Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
spellingShingle Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
Chenfeng Li
title_short Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
title_full Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
title_fullStr Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
title_full_unstemmed Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
title_sort Adaptive finite element analysis for damage detection of non-uniform Euler–Bernoulli beams with multiple cracks based on natural frequencies
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Yongliang Wang
Yang Ju
Zhuo Zhuang
Chenfeng Li
format Journal article
container_title Engineering Computations
container_volume 35
container_issue 3
container_start_page 1203
publishDate 2018
institution Swansea University
issn 0264-4401
doi_str_mv 10.1108/EC-05-2017-0176
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 - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description PurposeThis study aims to develop an adaptive finite element method for structural eigenproblems of cracked Euler–Bernoulli beams via the superconvergent patch recovery displacement technique. This research comprises the numerical algorithm and experimental results for free vibration problems (forward eigenproblems) and damage detection problems (inverse eigenproblems).Design/methodology/approachThe weakened properties analogy is used to describe cracks in this model. The adaptive strategy proposed in this paper provides accurate, efficient and reliable eigensolutions of frequency and mode (i.e. eigenpairs as eigenvalue and eigenfunction) for Euler–Bernoulli beams with multiple cracks. Based on the frequency measurement method for damage detection, using the difference between the actual and computed frequencies of cracked beams, the inverse eigenproblems are solved iteratively for identifying the residuals of locations and sizes of the cracks by the Newton–Raphson iteration technique. In the crack detection, the estimated residuals are added to obtain reliable results, which is an iteration process that will be expedited by more accurate frequency solutions based on the proposed method for free vibration problems.FindingsNumerical results are presented for free vibration problems and damage detection problems of representative non-uniform and geometrically stepped Euler–Bernoulli beams with multiple cracks to demonstrate the effectiveness, efficiency, accuracy and reliability of the proposed method.Originality/valueThe proposed combination of methodologies described in the paper leads to a very powerful approach for free vibration and damage detection of beams with cracks, introducing the mesh refinement, that can be extended to deal with the damage detection of frame structures.
published_date 2018-05-08T03:51:56Z
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score 11.013731

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