Dynamic response of pre-stressed orthotropic circular membrane under impact load
In this paper, the governing equations of motion of pre-stressed orthotropic circular membrane under impact load are derived in polar coordinates based on the principle of virtual displacement and solved by the Krylov–Bogoliubov–Mitropolsky perturbation method. The analytical solutions of the displa...
Gespeichert in:
| Veröffentlicht in: | Journal of vibration and control 2018-09, Vol.24 (17), p.4010-4022 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 4022 |
|---|---|
| container_issue | 17 |
| container_start_page | 4010 |
| container_title | Journal of vibration and control |
| container_volume | 24 |
| creator | Li, Dong Zheng, Zhou-Lian He, Cao Liu, Cao-Yu |
| description | In this paper, the governing equations of motion of pre-stressed orthotropic circular membrane under impact load are derived in polar coordinates based on the principle of virtual displacement and solved by the Krylov–Bogoliubov–Mitropolsky perturbation method. The analytical solutions of the displacement, speed, acceleration and frequency of circular membrane with fixed edges are obtained. Then the dynamic response of membrane is experimentally studied by using a new pneumatic experimental system. A comparison between the experimental and theoretical results validates the theoretical model and the vibration principles of membrane under different conditions. The results also indicate the relationship between dynamic response of membrane and various parameters related to radius, elastic modulus, pretention force, and load. This study provides a theoretical model to calculate the dynamic response of pre-stressed orthotropic circular membrane under impact load. In addition, a new pneumatic experimental system to study the dynamic response of pre-stressed membrane is developed as well. |
| doi_str_mv | 10.1177/1077546317717887 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2095011809</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sage_id>10.1177_1077546317717887</sage_id><sourcerecordid>2095011809</sourcerecordid><originalsourceid>FETCH-LOGICAL-c351t-1da581f922676a7dde50da1e02dc0d8a096fb07705c778374b6e0584a36d0f6b3</originalsourceid><addsrcrecordid>eNp1UEtLxDAQDqLgunr3GPAcnekjSY-yPmFBD3ouaTLVLtumJu1h_71ZVhAET_Mx32OGj7FLhGtEpW4QlCoLmSeMSmt1xBaoChRZpeVxwokWe_6UncW4AYCiQFiw17vdYPrO8kBx9EMk7ls-BhJxSptIjvswffop-DGJbBfsvDWB99Q3wQzE58FR4F0_GjvxrTfunJ20Zhvp4mcu2fvD_dvqSaxfHp9Xt2th8xIngc6UGtsqy6SSRjlHJTiDBJmz4LSBSrZN-hlKq5TOVdFIglIXJpcOWtnkS3Z1yB2D_5opTvXGz2FIJ-sMqhIQNVRJBQeVDT7GQG09hq43YVcj1Pve6r-9JYs4WKL5oN_Qf_XfOqls_A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2095011809</pqid></control><display><type>article</type><title>Dynamic response of pre-stressed orthotropic circular membrane under impact load</title><source>SAGE Complete A-Z List</source><creator>Li, Dong ; Zheng, Zhou-Lian ; He, Cao ; Liu, Cao-Yu</creator><creatorcontrib>Li, Dong ; Zheng, Zhou-Lian ; He, Cao ; Liu, Cao-Yu</creatorcontrib><description>In this paper, the governing equations of motion of pre-stressed orthotropic circular membrane under impact load are derived in polar coordinates based on the principle of virtual displacement and solved by the Krylov–Bogoliubov–Mitropolsky perturbation method. The analytical solutions of the displacement, speed, acceleration and frequency of circular membrane with fixed edges are obtained. Then the dynamic response of membrane is experimentally studied by using a new pneumatic experimental system. A comparison between the experimental and theoretical results validates the theoretical model and the vibration principles of membrane under different conditions. The results also indicate the relationship between dynamic response of membrane and various parameters related to radius, elastic modulus, pretention force, and load. This study provides a theoretical model to calculate the dynamic response of pre-stressed orthotropic circular membrane under impact load. In addition, a new pneumatic experimental system to study the dynamic response of pre-stressed membrane is developed as well.</description><identifier>ISSN: 1077-5463</identifier><identifier>EISSN: 1741-2986</identifier><identifier>DOI: 10.1177/1077546317717887</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Circularity ; Dynamic response ; Equations of motion ; Impact loads ; Krylov-Bogoliubov method ; Modulus of elasticity ; Perturbation methods ; Polar coordinates ; Vibration</subject><ispartof>Journal of vibration and control, 2018-09, Vol.24 (17), p.4010-4022</ispartof><rights>The Author(s) 2017</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c351t-1da581f922676a7dde50da1e02dc0d8a096fb07705c778374b6e0584a36d0f6b3</citedby><cites>FETCH-LOGICAL-c351t-1da581f922676a7dde50da1e02dc0d8a096fb07705c778374b6e0584a36d0f6b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/1077546317717887$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/1077546317717887$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,780,784,21818,27923,27924,43620,43621</link.rule.ids></links><search><creatorcontrib>Li, Dong</creatorcontrib><creatorcontrib>Zheng, Zhou-Lian</creatorcontrib><creatorcontrib>He, Cao</creatorcontrib><creatorcontrib>Liu, Cao-Yu</creatorcontrib><title>Dynamic response of pre-stressed orthotropic circular membrane under impact load</title><title>Journal of vibration and control</title><description>In this paper, the governing equations of motion of pre-stressed orthotropic circular membrane under impact load are derived in polar coordinates based on the principle of virtual displacement and solved by the Krylov–Bogoliubov–Mitropolsky perturbation method. The analytical solutions of the displacement, speed, acceleration and frequency of circular membrane with fixed edges are obtained. Then the dynamic response of membrane is experimentally studied by using a new pneumatic experimental system. A comparison between the experimental and theoretical results validates the theoretical model and the vibration principles of membrane under different conditions. The results also indicate the relationship between dynamic response of membrane and various parameters related to radius, elastic modulus, pretention force, and load. This study provides a theoretical model to calculate the dynamic response of pre-stressed orthotropic circular membrane under impact load. In addition, a new pneumatic experimental system to study the dynamic response of pre-stressed membrane is developed as well.</description><subject>Circularity</subject><subject>Dynamic response</subject><subject>Equations of motion</subject><subject>Impact loads</subject><subject>Krylov-Bogoliubov method</subject><subject>Modulus of elasticity</subject><subject>Perturbation methods</subject><subject>Polar coordinates</subject><subject>Vibration</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UEtLxDAQDqLgunr3GPAcnekjSY-yPmFBD3ouaTLVLtumJu1h_71ZVhAET_Mx32OGj7FLhGtEpW4QlCoLmSeMSmt1xBaoChRZpeVxwokWe_6UncW4AYCiQFiw17vdYPrO8kBx9EMk7ls-BhJxSptIjvswffop-DGJbBfsvDWB99Q3wQzE58FR4F0_GjvxrTfunJ20Zhvp4mcu2fvD_dvqSaxfHp9Xt2th8xIngc6UGtsqy6SSRjlHJTiDBJmz4LSBSrZN-hlKq5TOVdFIglIXJpcOWtnkS3Z1yB2D_5opTvXGz2FIJ-sMqhIQNVRJBQeVDT7GQG09hq43YVcj1Pve6r-9JYs4WKL5oN_Qf_XfOqls_A</recordid><startdate>201809</startdate><enddate>201809</enddate><creator>Li, Dong</creator><creator>Zheng, Zhou-Lian</creator><creator>He, Cao</creator><creator>Liu, Cao-Yu</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></search><sort><creationdate>201809</creationdate><title>Dynamic response of pre-stressed orthotropic circular membrane under impact load</title><author>Li, Dong ; Zheng, Zhou-Lian ; He, Cao ; Liu, Cao-Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-1da581f922676a7dde50da1e02dc0d8a096fb07705c778374b6e0584a36d0f6b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Circularity</topic><topic>Dynamic response</topic><topic>Equations of motion</topic><topic>Impact loads</topic><topic>Krylov-Bogoliubov method</topic><topic>Modulus of elasticity</topic><topic>Perturbation methods</topic><topic>Polar coordinates</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Dong</creatorcontrib><creatorcontrib>Zheng, Zhou-Lian</creatorcontrib><creatorcontrib>He, Cao</creatorcontrib><creatorcontrib>Liu, Cao-Yu</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & 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>Li, Dong</au><au>Zheng, Zhou-Lian</au><au>He, Cao</au><au>Liu, Cao-Yu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamic response of pre-stressed orthotropic circular membrane under impact load</atitle><jtitle>Journal of vibration and control</jtitle><date>2018-09</date><risdate>2018</risdate><volume>24</volume><issue>17</issue><spage>4010</spage><epage>4022</epage><pages>4010-4022</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>In this paper, the governing equations of motion of pre-stressed orthotropic circular membrane under impact load are derived in polar coordinates based on the principle of virtual displacement and solved by the Krylov–Bogoliubov–Mitropolsky perturbation method. The analytical solutions of the displacement, speed, acceleration and frequency of circular membrane with fixed edges are obtained. Then the dynamic response of membrane is experimentally studied by using a new pneumatic experimental system. A comparison between the experimental and theoretical results validates the theoretical model and the vibration principles of membrane under different conditions. The results also indicate the relationship between dynamic response of membrane and various parameters related to radius, elastic modulus, pretention force, and load. This study provides a theoretical model to calculate the dynamic response of pre-stressed orthotropic circular membrane under impact load. In addition, a new pneumatic experimental system to study the dynamic response of pre-stressed membrane is developed as well.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/1077546317717887</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1077-5463 |
| ispartof | Journal of vibration and control, 2018-09, Vol.24 (17), p.4010-4022 |
| issn | 1077-5463 1741-2986 |
| language | eng |
| recordid | cdi_proquest_journals_2095011809 |
| source | SAGE Complete A-Z List |
| subjects | Circularity Dynamic response Equations of motion Impact loads Krylov-Bogoliubov method Modulus of elasticity Perturbation methods Polar coordinates Vibration |
| title | Dynamic response of pre-stressed orthotropic circular membrane under impact load |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T23%3A41%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=Dynamic%20response%20of%20pre-stressed%20orthotropic%20circular%20membrane%20under%20impact%20load&rft.jtitle=Journal%20of%20vibration%20and%20control&rft.au=Li,%20Dong&rft.date=2018-09&rft.volume=24&rft.issue=17&rft.spage=4010&rft.epage=4022&rft.pages=4010-4022&rft.issn=1077-5463&rft.eissn=1741-2986&rft_id=info:doi/10.1177/1077546317717887&rft_dat=%3Cproquest_cross%3E2095011809%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=2095011809&rft_id=info:pmid/&rft_sage_id=10.1177_1077546317717887&rfr_iscdi=true |