Efficient computation of frequency response for non-proportional damped systems

•An optional parameter greater than zero and less than 1 is introduced.•Only the lower-order modes in an interval depending on the parameter need to be calculated.•Construct a convergent power series and use its partial sum to approximate the contributions of truncated modes.•Adaptively determine th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Engineering structures 2022-09, Vol.266, p.114636, Article 114636
Hauptverfasser: Wu, Baisheng, Zhao, Xuqi, Lim, C.W., Zhong, Huixiang
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page 114636
container_title Engineering structures
container_volume 266
creator Wu, Baisheng
Zhao, Xuqi
Lim, C.W.
Zhong, Huixiang
description •An optional parameter greater than zero and less than 1 is introduced.•Only the lower-order modes in an interval depending on the parameter need to be calculated.•Construct a convergent power series and use its partial sum to approximate the contributions of truncated modes.•Adaptively determine the terms in the partial sum using only the right end of the frequency interval only.•Derive an analytical expression valid for the entire frequency interval of interest. Frequency response analysis is required in many structural dynamic applications. For large-scale problems, the cost of performing a frequency response analysis within a frequency interval of interest can be computationally very expensive and prohibitive, because the evaluation of the structural response for each excitation frequency requires solving a system with complex coefficients. For such purposes, a new method for the frequency response analysis of a non-proportional damped system in the frequency interval 0,ωmax is established. We first determine the lower-order modes in the interval 0,ωmax/ψ and retain the quantity, where ψ is an optional parameter which is greater than zero and less than 1. The default value of ψ is set to 0.5. We then approximate the unknown higher-order mode contributions by using partial sums of the constructed convergent power series of excitation frequency. The number of items in the partial sum is determined adaptively by an iterative algorithm performed at ωmax. The resulting analytical expression for the frequency response is applied to the frequency interval 0,ωmax. Consequently, the frequency response analysis can be fulfilled simply by changing the excitation frequency in the analytical expression. Although the proposed method is derived based on the state space approach, its implementation is transformed to the original space to reduce the computational effort and storage space. The accuracy and effectiveness of the proposed method are illustrated and validated by two numerical examples.
doi_str_mv 10.1016/j.engstruct.2022.114636
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2709092051</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0141029622007337</els_id><sourcerecordid>2709092051</sourcerecordid><originalsourceid>FETCH-LOGICAL-c273t-7d741f1d1283f8479bbcbf7650209d016cfd521853c584ce17890e324ac047ab3</originalsourceid><addsrcrecordid>eNqFkEtLxDAUhYMoOD5-gwHXrTdJ26TLYRgfMDAbXYc2D2mZNjVJhfn3plTcurqb7x7O-RB6IJATINVTn5vxM0Q_q5hToDQnpKhYdYE2RHCWcUbZJdoAKUgGtK6u0U0IPQBQIWCDjntrO9WZMWLlhmmOTezciJ3F1puv2YzqjL0JkxuDwdZ5PLoxm7ybnF_A5oR1M0xG43AO0QzhDl3Z5hTM_e-9RR_P-_fda3Y4vrzttodMUc5ixjUviCWaUMGsKHjdtqq1vCqBQq3TLGV1SYkomSpFoQzhogbDaNEoKHjTslv0uOamLqlmiLJ3s099gqQcaqgplCRRfKWUdyF4Y-Xku6HxZ0lALvZkL__sycWeXO2lz-36adKI7854GRZLyujOm8Rq1_2b8QOtMX2s</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2709092051</pqid></control><display><type>article</type><title>Efficient computation of frequency response for non-proportional damped systems</title><source>Elsevier ScienceDirect Journals Complete</source><creator>Wu, Baisheng ; Zhao, Xuqi ; Lim, C.W. ; Zhong, Huixiang</creator><creatorcontrib>Wu, Baisheng ; Zhao, Xuqi ; Lim, C.W. ; Zhong, Huixiang</creatorcontrib><description>•An optional parameter greater than zero and less than 1 is introduced.•Only the lower-order modes in an interval depending on the parameter need to be calculated.•Construct a convergent power series and use its partial sum to approximate the contributions of truncated modes.•Adaptively determine the terms in the partial sum using only the right end of the frequency interval only.•Derive an analytical expression valid for the entire frequency interval of interest. Frequency response analysis is required in many structural dynamic applications. For large-scale problems, the cost of performing a frequency response analysis within a frequency interval of interest can be computationally very expensive and prohibitive, because the evaluation of the structural response for each excitation frequency requires solving a system with complex coefficients. For such purposes, a new method for the frequency response analysis of a non-proportional damped system in the frequency interval 0,ωmax is established. We first determine the lower-order modes in the interval 0,ωmax/ψ and retain the quantity, where ψ is an optional parameter which is greater than zero and less than 1. The default value of ψ is set to 0.5. We then approximate the unknown higher-order mode contributions by using partial sums of the constructed convergent power series of excitation frequency. The number of items in the partial sum is determined adaptively by an iterative algorithm performed at ωmax. The resulting analytical expression for the frequency response is applied to the frequency interval 0,ωmax. Consequently, the frequency response analysis can be fulfilled simply by changing the excitation frequency in the analytical expression. Although the proposed method is derived based on the state space approach, its implementation is transformed to the original space to reduce the computational effort and storage space. The accuracy and effectiveness of the proposed method are illustrated and validated by two numerical examples.</description><identifier>ISSN: 0141-0296</identifier><identifier>EISSN: 1873-7323</identifier><identifier>DOI: 10.1016/j.engstruct.2022.114636</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Adaptive algorithm ; Computer applications ; Cost analysis ; Excitation ; Excitation frequency interval ; Frequency analysis ; Frequency dependence ; Frequency response ; Iteration ; Iterative algorithms ; Iterative methods ; Non-proportional damping ; Power series ; Structural response</subject><ispartof>Engineering structures, 2022-09, Vol.266, p.114636, Article 114636</ispartof><rights>2022 Elsevier Ltd</rights><rights>Copyright Elsevier BV Sep 1, 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c273t-7d741f1d1283f8479bbcbf7650209d016cfd521853c584ce17890e324ac047ab3</citedby><cites>FETCH-LOGICAL-c273t-7d741f1d1283f8479bbcbf7650209d016cfd521853c584ce17890e324ac047ab3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.engstruct.2022.114636$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Wu, Baisheng</creatorcontrib><creatorcontrib>Zhao, Xuqi</creatorcontrib><creatorcontrib>Lim, C.W.</creatorcontrib><creatorcontrib>Zhong, Huixiang</creatorcontrib><title>Efficient computation of frequency response for non-proportional damped systems</title><title>Engineering structures</title><description>•An optional parameter greater than zero and less than 1 is introduced.•Only the lower-order modes in an interval depending on the parameter need to be calculated.•Construct a convergent power series and use its partial sum to approximate the contributions of truncated modes.•Adaptively determine the terms in the partial sum using only the right end of the frequency interval only.•Derive an analytical expression valid for the entire frequency interval of interest. Frequency response analysis is required in many structural dynamic applications. For large-scale problems, the cost of performing a frequency response analysis within a frequency interval of interest can be computationally very expensive and prohibitive, because the evaluation of the structural response for each excitation frequency requires solving a system with complex coefficients. For such purposes, a new method for the frequency response analysis of a non-proportional damped system in the frequency interval 0,ωmax is established. We first determine the lower-order modes in the interval 0,ωmax/ψ and retain the quantity, where ψ is an optional parameter which is greater than zero and less than 1. The default value of ψ is set to 0.5. We then approximate the unknown higher-order mode contributions by using partial sums of the constructed convergent power series of excitation frequency. The number of items in the partial sum is determined adaptively by an iterative algorithm performed at ωmax. The resulting analytical expression for the frequency response is applied to the frequency interval 0,ωmax. Consequently, the frequency response analysis can be fulfilled simply by changing the excitation frequency in the analytical expression. Although the proposed method is derived based on the state space approach, its implementation is transformed to the original space to reduce the computational effort and storage space. The accuracy and effectiveness of the proposed method are illustrated and validated by two numerical examples.</description><subject>Adaptive algorithm</subject><subject>Computer applications</subject><subject>Cost analysis</subject><subject>Excitation</subject><subject>Excitation frequency interval</subject><subject>Frequency analysis</subject><subject>Frequency dependence</subject><subject>Frequency response</subject><subject>Iteration</subject><subject>Iterative algorithms</subject><subject>Iterative methods</subject><subject>Non-proportional damping</subject><subject>Power series</subject><subject>Structural response</subject><issn>0141-0296</issn><issn>1873-7323</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLxDAUhYMoOD5-gwHXrTdJ26TLYRgfMDAbXYc2D2mZNjVJhfn3plTcurqb7x7O-RB6IJATINVTn5vxM0Q_q5hToDQnpKhYdYE2RHCWcUbZJdoAKUgGtK6u0U0IPQBQIWCDjntrO9WZMWLlhmmOTezciJ3F1puv2YzqjL0JkxuDwdZ5PLoxm7ybnF_A5oR1M0xG43AO0QzhDl3Z5hTM_e-9RR_P-_fda3Y4vrzttodMUc5ixjUviCWaUMGsKHjdtqq1vCqBQq3TLGV1SYkomSpFoQzhogbDaNEoKHjTslv0uOamLqlmiLJ3s099gqQcaqgplCRRfKWUdyF4Y-Xku6HxZ0lALvZkL__sycWeXO2lz-36adKI7854GRZLyujOm8Rq1_2b8QOtMX2s</recordid><startdate>20220901</startdate><enddate>20220901</enddate><creator>Wu, Baisheng</creator><creator>Zhao, Xuqi</creator><creator>Lim, C.W.</creator><creator>Zhong, Huixiang</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7ST</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>SOI</scope></search><sort><creationdate>20220901</creationdate><title>Efficient computation of frequency response for non-proportional damped systems</title><author>Wu, Baisheng ; Zhao, Xuqi ; Lim, C.W. ; Zhong, Huixiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c273t-7d741f1d1283f8479bbcbf7650209d016cfd521853c584ce17890e324ac047ab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Adaptive algorithm</topic><topic>Computer applications</topic><topic>Cost analysis</topic><topic>Excitation</topic><topic>Excitation frequency interval</topic><topic>Frequency analysis</topic><topic>Frequency dependence</topic><topic>Frequency response</topic><topic>Iteration</topic><topic>Iterative algorithms</topic><topic>Iterative methods</topic><topic>Non-proportional damping</topic><topic>Power series</topic><topic>Structural response</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Baisheng</creatorcontrib><creatorcontrib>Zhao, Xuqi</creatorcontrib><creatorcontrib>Lim, C.W.</creatorcontrib><creatorcontrib>Zhong, Huixiang</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environment Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Environment Abstracts</collection><jtitle>Engineering structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Baisheng</au><au>Zhao, Xuqi</au><au>Lim, C.W.</au><au>Zhong, Huixiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Efficient computation of frequency response for non-proportional damped systems</atitle><jtitle>Engineering structures</jtitle><date>2022-09-01</date><risdate>2022</risdate><volume>266</volume><spage>114636</spage><pages>114636-</pages><artnum>114636</artnum><issn>0141-0296</issn><eissn>1873-7323</eissn><abstract>•An optional parameter greater than zero and less than 1 is introduced.•Only the lower-order modes in an interval depending on the parameter need to be calculated.•Construct a convergent power series and use its partial sum to approximate the contributions of truncated modes.•Adaptively determine the terms in the partial sum using only the right end of the frequency interval only.•Derive an analytical expression valid for the entire frequency interval of interest. Frequency response analysis is required in many structural dynamic applications. For large-scale problems, the cost of performing a frequency response analysis within a frequency interval of interest can be computationally very expensive and prohibitive, because the evaluation of the structural response for each excitation frequency requires solving a system with complex coefficients. For such purposes, a new method for the frequency response analysis of a non-proportional damped system in the frequency interval 0,ωmax is established. We first determine the lower-order modes in the interval 0,ωmax/ψ and retain the quantity, where ψ is an optional parameter which is greater than zero and less than 1. The default value of ψ is set to 0.5. We then approximate the unknown higher-order mode contributions by using partial sums of the constructed convergent power series of excitation frequency. The number of items in the partial sum is determined adaptively by an iterative algorithm performed at ωmax. The resulting analytical expression for the frequency response is applied to the frequency interval 0,ωmax. Consequently, the frequency response analysis can be fulfilled simply by changing the excitation frequency in the analytical expression. Although the proposed method is derived based on the state space approach, its implementation is transformed to the original space to reduce the computational effort and storage space. The accuracy and effectiveness of the proposed method are illustrated and validated by two numerical examples.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.engstruct.2022.114636</doi></addata></record>
fulltext fulltext
identifier ISSN: 0141-0296
ispartof Engineering structures, 2022-09, Vol.266, p.114636, Article 114636
issn 0141-0296
1873-7323
language eng
recordid cdi_proquest_journals_2709092051
source Elsevier ScienceDirect Journals Complete
subjects Adaptive algorithm
Computer applications
Cost analysis
Excitation
Excitation frequency interval
Frequency analysis
Frequency dependence
Frequency response
Iteration
Iterative algorithms
Iterative methods
Non-proportional damping
Power series
Structural response
title Efficient computation of frequency response for non-proportional damped systems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T06%3A59%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Efficient%20computation%20of%20frequency%20response%20for%20non-proportional%20damped%20systems&rft.jtitle=Engineering%20structures&rft.au=Wu,%20Baisheng&rft.date=2022-09-01&rft.volume=266&rft.spage=114636&rft.pages=114636-&rft.artnum=114636&rft.issn=0141-0296&rft.eissn=1873-7323&rft_id=info:doi/10.1016/j.engstruct.2022.114636&rft_dat=%3Cproquest_cross%3E2709092051%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2709092051&rft_id=info:pmid/&rft_els_id=S0141029622007337&rfr_iscdi=true