On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation

The lateral response of a single degree of freedom structural system containing a rigid circular cylindrical liquid tank under harmonic and earthquake excitations at a 1:2 autoparametric resonance case is considered. The governing nonlinear differential equations of motion for the combined system ar...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of vibration and control 2019-03, Vol.25 (5), p.1058-1079
Hauptverfasser: Attari, N. K. A., Rofooei, F. R., Waezi, Z.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1079
container_issue 5
container_start_page 1058
container_title Journal of vibration and control
container_volume 25
creator Attari, N. K. A.
Rofooei, F. R.
Waezi, Z.
description The lateral response of a single degree of freedom structural system containing a rigid circular cylindrical liquid tank under harmonic and earthquake excitations at a 1:2 autoparametric resonance case is considered. The governing nonlinear differential equations of motion for the combined system are solved by means of a multiple scales method considering the first three liquid sloshing modes (1,1), (0,1), and (2,1), under horizontal excitation. The fixed points of the gyroscopic type of governing differential equations are determined and their stability is investigated employing the perturbation method. The obtained results reveal an increase in the stability region for a single-mode response with respect to the excitation amplitude. The saturation phenomenon is observed in the decoupled modes of the system; however, the structural mode and the first anti-symmetric mode of liquid are a combination of the saturated mode and another mode whose scale factor is crucial for the structural response. The results of perturbation analysis are in good agreement with results obtained from numerical methods.
doi_str_mv 10.1177/1077546318810072
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2171554554</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sage_id>10.1177_1077546318810072</sage_id><sourcerecordid>2171554554</sourcerecordid><originalsourceid>FETCH-LOGICAL-c351t-d9782f78eb5bd8040b8975d707eb1c5480b90127e785bc041bcd1c5a02e62dda3</originalsourceid><addsrcrecordid>eNp1UEtLAzEQDqJgrd49BjyvTrZJkz1K8QWFXvS85LU1dU3aJAuuv97UCoIgDMzwvWA-hC4JXBPC-Q0Bzhmdz4gQBIDXR2hCOCVV3Yj5cbkLXe35U3SW0gYAKCUwQePKYx9877yVEW9tzENUMrvgsfSyH5NLOHRY4pTjoAtpsZYxjs6vC6hd1ENfjHosCSY6LXvcu93gDM7Sv-HBGxvxa4juM_hcSPuhXf7OP0cnneyTvfjZU_Ryf_e8eKyWq4enxe2y0jNGcmUaLuqOC6uYMgIoKNFwZjhwq4hmVIBqgNTccsGUBkqUNgWXUNt5bYycTdHVIXcbw26wKbebMMTyW2prwgljtExRwUGlY0gp2q7dRvcu49gSaPcFt38LLpbqYElybX9D_9V_AWqffQg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2171554554</pqid></control><display><type>article</type><title>On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation</title><source>Access via SAGE</source><creator>Attari, N. K. A. ; Rofooei, F. R. ; Waezi, Z.</creator><creatorcontrib>Attari, N. K. A. ; Rofooei, F. R. ; Waezi, Z.</creatorcontrib><description>The lateral response of a single degree of freedom structural system containing a rigid circular cylindrical liquid tank under harmonic and earthquake excitations at a 1:2 autoparametric resonance case is considered. The governing nonlinear differential equations of motion for the combined system are solved by means of a multiple scales method considering the first three liquid sloshing modes (1,1), (0,1), and (2,1), under horizontal excitation. The fixed points of the gyroscopic type of governing differential equations are determined and their stability is investigated employing the perturbation method. The obtained results reveal an increase in the stability region for a single-mode response with respect to the excitation amplitude. The saturation phenomenon is observed in the decoupled modes of the system; however, the structural mode and the first anti-symmetric mode of liquid are a combination of the saturated mode and another mode whose scale factor is crucial for the structural response. The results of perturbation analysis are in good agreement with results obtained from numerical methods.</description><identifier>ISSN: 1077-5463</identifier><identifier>EISSN: 1741-2986</identifier><identifier>DOI: 10.1177/1077546318810072</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Cylindrical tanks ; Differential equations ; Earthquakes ; Equations of motion ; Excitation ; Liquid sloshing ; Mathematical analysis ; Nonlinear analysis ; Nonlinear differential equations ; Nonlinear equations ; Numerical methods ; Perturbation methods ; Seismic activity ; Seismic engineering</subject><ispartof>Journal of vibration and control, 2019-03, Vol.25 (5), p.1058-1079</ispartof><rights>The Author(s) 2018</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c351t-d9782f78eb5bd8040b8975d707eb1c5480b90127e785bc041bcd1c5a02e62dda3</citedby><cites>FETCH-LOGICAL-c351t-d9782f78eb5bd8040b8975d707eb1c5480b90127e785bc041bcd1c5a02e62dda3</cites><orcidid>0000-0002-5490-078X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/1077546318810072$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/1077546318810072$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>315,782,786,21826,27931,27932,43628,43629</link.rule.ids></links><search><creatorcontrib>Attari, N. K. A.</creatorcontrib><creatorcontrib>Rofooei, F. R.</creatorcontrib><creatorcontrib>Waezi, Z.</creatorcontrib><title>On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation</title><title>Journal of vibration and control</title><description>The lateral response of a single degree of freedom structural system containing a rigid circular cylindrical liquid tank under harmonic and earthquake excitations at a 1:2 autoparametric resonance case is considered. The governing nonlinear differential equations of motion for the combined system are solved by means of a multiple scales method considering the first three liquid sloshing modes (1,1), (0,1), and (2,1), under horizontal excitation. The fixed points of the gyroscopic type of governing differential equations are determined and their stability is investigated employing the perturbation method. The obtained results reveal an increase in the stability region for a single-mode response with respect to the excitation amplitude. The saturation phenomenon is observed in the decoupled modes of the system; however, the structural mode and the first anti-symmetric mode of liquid are a combination of the saturated mode and another mode whose scale factor is crucial for the structural response. The results of perturbation analysis are in good agreement with results obtained from numerical methods.</description><subject>Cylindrical tanks</subject><subject>Differential equations</subject><subject>Earthquakes</subject><subject>Equations of motion</subject><subject>Excitation</subject><subject>Liquid sloshing</subject><subject>Mathematical analysis</subject><subject>Nonlinear analysis</subject><subject>Nonlinear differential equations</subject><subject>Nonlinear equations</subject><subject>Numerical methods</subject><subject>Perturbation methods</subject><subject>Seismic activity</subject><subject>Seismic engineering</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1UEtLAzEQDqJgrd49BjyvTrZJkz1K8QWFXvS85LU1dU3aJAuuv97UCoIgDMzwvWA-hC4JXBPC-Q0Bzhmdz4gQBIDXR2hCOCVV3Yj5cbkLXe35U3SW0gYAKCUwQePKYx9877yVEW9tzENUMrvgsfSyH5NLOHRY4pTjoAtpsZYxjs6vC6hd1ENfjHosCSY6LXvcu93gDM7Sv-HBGxvxa4juM_hcSPuhXf7OP0cnneyTvfjZU_Ryf_e8eKyWq4enxe2y0jNGcmUaLuqOC6uYMgIoKNFwZjhwq4hmVIBqgNTccsGUBkqUNgWXUNt5bYycTdHVIXcbw26wKbebMMTyW2prwgljtExRwUGlY0gp2q7dRvcu49gSaPcFt38LLpbqYElybX9D_9V_AWqffQg</recordid><startdate>201903</startdate><enddate>201903</enddate><creator>Attari, N. K. A.</creator><creator>Rofooei, F. R.</creator><creator>Waezi, Z.</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-5490-078X</orcidid></search><sort><creationdate>201903</creationdate><title>On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation</title><author>Attari, N. K. A. ; Rofooei, F. R. ; Waezi, Z.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-d9782f78eb5bd8040b8975d707eb1c5480b90127e785bc041bcd1c5a02e62dda3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Cylindrical tanks</topic><topic>Differential equations</topic><topic>Earthquakes</topic><topic>Equations of motion</topic><topic>Excitation</topic><topic>Liquid sloshing</topic><topic>Mathematical analysis</topic><topic>Nonlinear analysis</topic><topic>Nonlinear differential equations</topic><topic>Nonlinear equations</topic><topic>Numerical methods</topic><topic>Perturbation methods</topic><topic>Seismic activity</topic><topic>Seismic engineering</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Attari, N. K. A.</creatorcontrib><creatorcontrib>Rofooei, F. R.</creatorcontrib><creatorcontrib>Waezi, Z.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of vibration and control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Attari, N. K. A.</au><au>Rofooei, F. R.</au><au>Waezi, Z.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation</atitle><jtitle>Journal of vibration and control</jtitle><date>2019-03</date><risdate>2019</risdate><volume>25</volume><issue>5</issue><spage>1058</spage><epage>1079</epage><pages>1058-1079</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>The lateral response of a single degree of freedom structural system containing a rigid circular cylindrical liquid tank under harmonic and earthquake excitations at a 1:2 autoparametric resonance case is considered. The governing nonlinear differential equations of motion for the combined system are solved by means of a multiple scales method considering the first three liquid sloshing modes (1,1), (0,1), and (2,1), under horizontal excitation. The fixed points of the gyroscopic type of governing differential equations are determined and their stability is investigated employing the perturbation method. The obtained results reveal an increase in the stability region for a single-mode response with respect to the excitation amplitude. The saturation phenomenon is observed in the decoupled modes of the system; however, the structural mode and the first anti-symmetric mode of liquid are a combination of the saturated mode and another mode whose scale factor is crucial for the structural response. The results of perturbation analysis are in good agreement with results obtained from numerical methods.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/1077546318810072</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0002-5490-078X</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1077-5463
ispartof Journal of vibration and control, 2019-03, Vol.25 (5), p.1058-1079
issn 1077-5463
1741-2986
language eng
recordid cdi_proquest_journals_2171554554
source Access via SAGE
subjects Cylindrical tanks
Differential equations
Earthquakes
Equations of motion
Excitation
Liquid sloshing
Mathematical analysis
Nonlinear analysis
Nonlinear differential equations
Nonlinear equations
Numerical methods
Perturbation methods
Seismic activity
Seismic engineering
title On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-05T22%3A29%3A04IST&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=On%20nonlinear%20perturbation%20analysis%20of%20a%20structure%20carrying%20a%20circular%20cylindrical%20liquid%20tank%20under%20horizontal%20excitation&rft.jtitle=Journal%20of%20vibration%20and%20control&rft.au=Attari,%20N.%20K.%20A.&rft.date=2019-03&rft.volume=25&rft.issue=5&rft.spage=1058&rft.epage=1079&rft.pages=1058-1079&rft.issn=1077-5463&rft.eissn=1741-2986&rft_id=info:doi/10.1177/1077546318810072&rft_dat=%3Cproquest_cross%3E2171554554%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=2171554554&rft_id=info:pmid/&rft_sage_id=10.1177_1077546318810072&rfr_iscdi=true