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A constrained optimization solution for Caughey damping coefficients in seismic analysis

Danguang Pan, Chenfeng Li Orcid Logo

Engineering Computations, Volume: 34, Issue: 3

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1108/EC-12-2015-0404

Abstract

PurposeExtended from the classic Rayleigh damping model in structural dynamics, the Caughey damping model allows the damping ratios to be specified in multiple modes while satisfying the orthogonality conditions. Despite of these desirable properties, Caughey damping suffers from a few major drawbac...

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Published in: Engineering Computations
ISSN: 0264-4401
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa29479
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2017-04-05T15:01:33.6316354</datestamp><bib-version>v2</bib-version><id>29479</id><entry>2016-08-05</entry><title>A constrained optimization solution for Caughey damping coefficients in seismic analysis</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>2016-08-05</date><deptcode>CIVL</deptcode><abstract>PurposeExtended from the classic Rayleigh damping model in structural dynamics, the Caughey damping model allows the damping ratios to be specified in multiple modes while satisfying the orthogonality conditions. Despite of these desirable properties, Caughey damping suffers from a few major drawbacks: (1) depending on the frequency distribution of the significant modes, it can be difficult to choose the reference frequencies that ensure reasonable values for all damping ratios corresponding to the significant modes; (2) it cannot ensure all damping ratios are positive. This paper presents a constrained quadratic programming approach to address these issues.Design/methodology/approachThe new method minimizes the error of the structural displacement peak based on the response spectrum theory, while all modal damping ratios are constrained to be greater than zero.FindingsThe proposed method is highly efficient and allows the damping ratios to be conveniently specified for all significant modes, producing optimal damping coefficients in practical applications. Several comprehensive examples are presented to demonstrate the accuracy and effectiveness of the proposed method, and comparisons with existing approaches are provided whenever possible.Originality/valueThe proposed method is highly efficient and allows the damping ratios to be conveniently specified for all significant modes, producing optimal damping coefficients in practical applications. Several comprehensive examples are presented to demonstrate the accuracy and effectiveness of the proposed method, and comparisons with existing approaches are provided whenever possible.</abstract><type>Journal Article</type><journal>Engineering Computations</journal><volume>34</volume><journalNumber>3</journalNumber><publisher/><issnPrint>0264-4401</issnPrint><keywords/><publishedDay>2</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2017</publishedYear><publishedDate>2017-05-02</publishedDate><doi>10.1108/EC-12-2015-0404</doi><url/><notes/><college>COLLEGE NANME</college><department>Civil Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CIVL</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2017-04-05T15:01:33.6316354</lastEdited><Created>2016-08-05T08:40:23.4828062</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>Danguang</firstname><surname>Pan</surname><order>1</order></author><author><firstname>Chenfeng</firstname><surname>Li</surname><orcid>0000-0003-0441-211X</orcid><order>2</order></author></authors><documents><document><filename>0029479-05082016084110.pdf</filename><originalFilename>pan2016.pdf</originalFilename><uploaded>2016-08-05T08:41:10.6100000</uploaded><type>Output</type><contentLength>3362154</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-03-21T00:00:00.0000000</embargoDate><copyrightCorrect>false</copyrightCorrect></document></documents><OutputDurs/></rfc1807>
spelling 2017-04-05T15:01:33.6316354 v2 29479 2016-08-05 A constrained optimization solution for Caughey damping coefficients in seismic analysis 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2016-08-05 CIVL PurposeExtended from the classic Rayleigh damping model in structural dynamics, the Caughey damping model allows the damping ratios to be specified in multiple modes while satisfying the orthogonality conditions. Despite of these desirable properties, Caughey damping suffers from a few major drawbacks: (1) depending on the frequency distribution of the significant modes, it can be difficult to choose the reference frequencies that ensure reasonable values for all damping ratios corresponding to the significant modes; (2) it cannot ensure all damping ratios are positive. This paper presents a constrained quadratic programming approach to address these issues.Design/methodology/approachThe new method minimizes the error of the structural displacement peak based on the response spectrum theory, while all modal damping ratios are constrained to be greater than zero.FindingsThe proposed method is highly efficient and allows the damping ratios to be conveniently specified for all significant modes, producing optimal damping coefficients in practical applications. Several comprehensive examples are presented to demonstrate the accuracy and effectiveness of the proposed method, and comparisons with existing approaches are provided whenever possible.Originality/valueThe proposed method is highly efficient and allows the damping ratios to be conveniently specified for all significant modes, producing optimal damping coefficients in practical applications. Several comprehensive examples are presented to demonstrate the accuracy and effectiveness of the proposed method, and comparisons with existing approaches are provided whenever possible. Journal Article Engineering Computations 34 3 0264-4401 2 5 2017 2017-05-02 10.1108/EC-12-2015-0404 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-04-05T15:01:33.6316354 2016-08-05T08:40:23.4828062 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Danguang Pan 1 Chenfeng Li 0000-0003-0441-211X 2 0029479-05082016084110.pdf pan2016.pdf 2016-08-05T08:41:10.6100000 Output 3362154 application/pdf Accepted Manuscript true 2018-03-21T00:00:00.0000000 false
title A constrained optimization solution for Caughey damping coefficients in seismic analysis
spellingShingle A constrained optimization solution for Caughey damping coefficients in seismic analysis
Chenfeng Li
title_short A constrained optimization solution for Caughey damping coefficients in seismic analysis
title_full A constrained optimization solution for Caughey damping coefficients in seismic analysis
title_fullStr A constrained optimization solution for Caughey damping coefficients in seismic analysis
title_full_unstemmed A constrained optimization solution for Caughey damping coefficients in seismic analysis
title_sort A constrained optimization solution for Caughey damping coefficients in seismic analysis
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Danguang Pan
Chenfeng Li
format Journal article
container_title Engineering Computations
container_volume 34
container_issue 3
publishDate 2017
institution Swansea University
issn 0264-4401
doi_str_mv 10.1108/EC-12-2015-0404
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 PurposeExtended from the classic Rayleigh damping model in structural dynamics, the Caughey damping model allows the damping ratios to be specified in multiple modes while satisfying the orthogonality conditions. Despite of these desirable properties, Caughey damping suffers from a few major drawbacks: (1) depending on the frequency distribution of the significant modes, it can be difficult to choose the reference frequencies that ensure reasonable values for all damping ratios corresponding to the significant modes; (2) it cannot ensure all damping ratios are positive. This paper presents a constrained quadratic programming approach to address these issues.Design/methodology/approachThe new method minimizes the error of the structural displacement peak based on the response spectrum theory, while all modal damping ratios are constrained to be greater than zero.FindingsThe proposed method is highly efficient and allows the damping ratios to be conveniently specified for all significant modes, producing optimal damping coefficients in practical applications. Several comprehensive examples are presented to demonstrate the accuracy and effectiveness of the proposed method, and comparisons with existing approaches are provided whenever possible.Originality/valueThe proposed method is highly efficient and allows the damping ratios to be conveniently specified for all significant modes, producing optimal damping coefficients in practical applications. Several comprehensive examples are presented to demonstrate the accuracy and effectiveness of the proposed method, and comparisons with existing approaches are provided whenever possible.
published_date 2017-05-02T03:35:51Z
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score 11.013686

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