Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape
The stress state problem of non-thin cylindrical shells with a perturbed cross-sectional shape is solved using spatial problem statement, analytical methods of separation of variables in two coordinate directions, approximation of functions by discrete Fourier series, and numerical solution in the t...
Gespeichert in:
| Veröffentlicht in: | International applied mechanics 2023-05, Vol.59 (3), p.270-283 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 283 |
|---|---|
| container_issue | 3 |
| container_start_page | 270 |
| container_title | International applied mechanics |
| container_volume | 59 |
| creator | Grygorenko, O. Ya Rozhok, L. S. Onyshchenko, A. M. Chizhenko, N. P. |
| description | The stress state problem of non-thin cylindrical shells with a perturbed cross-sectional shape is solved using spatial problem statement, analytical methods of separation of variables in two coordinate directions, approximation of functions by discrete Fourier series, and numerical solution in the third coordinate direction with the method of discrete orthogonalization. The shells with certain boundary conditions at the ends are under an external normal load. Typical features of the stress state of the shells are established depending on the length and thickness for two variants of the perturbed surface. The reference cross-sectional surface is described by Pascal’s limacon parametric equation. The results obtained are presented in the form of graphs of stresses in the shells. |
| doi_str_mv | 10.1007/s10778-023-01219-9 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2880840818</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A770900797</galeid><sourcerecordid>A770900797</sourcerecordid><originalsourceid>FETCH-LOGICAL-c309t-b1c613dc69b578fb79ce48bcebe2ea30518a4ff269231ed2b5b527c4cd37eddc3</originalsourceid><addsrcrecordid>eNp9kE1LAzEQhhdRsFb_gKeA59R8dJvkWIpfUD-geg7ZZLaNrJuapIj_3rQreJMcJgzPO8w8VXVJyYQSIq4TJUJITBjHhDKqsDqqRrQWHMtasuPyJzOOBVH1aXWW0jshRAmhRpV-DA46369R3gBa5QgplWIyoNCip9Dj143v0eK7MC56azq02kDXJfTl8wYZ9AIx72IDDi1iSAmvwGYf-gNntnBenbSmS3DxW8fV2-3N6-IeL5_vHhbzJbacqIwbameUOztTTS1k2whlYSobCw0wMJzUVJpp27KZYpyCY03d1EzYqXVcgHOWj6urYe42hs8dpKzfwy6WNZJmUhI5JZLKQk0Gam060L5vQ47Glufgw9vQQ-tLfy6KqGJViRJgQ8Duj4vQ6m30HyZ-a0r03rwezOtiXh_Ma1VCfAilAvdriH-7_JP6AfIohr4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2880840818</pqid></control><display><type>article</type><title>Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape</title><source>SpringerLink Journals - AutoHoldings</source><creator>Grygorenko, O. Ya ; Rozhok, L. S. ; Onyshchenko, A. M. ; Chizhenko, N. P.</creator><creatorcontrib>Grygorenko, O. Ya ; Rozhok, L. S. ; Onyshchenko, A. M. ; Chizhenko, N. P.</creatorcontrib><description>The stress state problem of non-thin cylindrical shells with a perturbed cross-sectional shape is solved using spatial problem statement, analytical methods of separation of variables in two coordinate directions, approximation of functions by discrete Fourier series, and numerical solution in the third coordinate direction with the method of discrete orthogonalization. The shells with certain boundary conditions at the ends are under an external normal load. Typical features of the stress state of the shells are established depending on the length and thickness for two variants of the perturbed surface. The reference cross-sectional surface is described by Pascal’s limacon parametric equation. The results obtained are presented in the form of graphs of stresses in the shells.</description><identifier>ISSN: 1063-7095</identifier><identifier>EISSN: 1573-8582</identifier><identifier>DOI: 10.1007/s10778-023-01219-9</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Applications of Mathematics ; Boundary conditions ; Cylindrical shells ; Engineering ; Fourier series ; Parametric equations</subject><ispartof>International applied mechanics, 2023-05, Vol.59 (3), p.270-283</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><rights>COPYRIGHT 2023 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c309t-b1c613dc69b578fb79ce48bcebe2ea30518a4ff269231ed2b5b527c4cd37eddc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10778-023-01219-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10778-023-01219-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27922,27923,41486,42555,51317</link.rule.ids></links><search><creatorcontrib>Grygorenko, O. Ya</creatorcontrib><creatorcontrib>Rozhok, L. S.</creatorcontrib><creatorcontrib>Onyshchenko, A. M.</creatorcontrib><creatorcontrib>Chizhenko, N. P.</creatorcontrib><title>Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape</title><title>International applied mechanics</title><addtitle>Int Appl Mech</addtitle><description>The stress state problem of non-thin cylindrical shells with a perturbed cross-sectional shape is solved using spatial problem statement, analytical methods of separation of variables in two coordinate directions, approximation of functions by discrete Fourier series, and numerical solution in the third coordinate direction with the method of discrete orthogonalization. The shells with certain boundary conditions at the ends are under an external normal load. Typical features of the stress state of the shells are established depending on the length and thickness for two variants of the perturbed surface. The reference cross-sectional surface is described by Pascal’s limacon parametric equation. The results obtained are presented in the form of graphs of stresses in the shells.</description><subject>Applications of Mathematics</subject><subject>Boundary conditions</subject><subject>Cylindrical shells</subject><subject>Engineering</subject><subject>Fourier series</subject><subject>Parametric equations</subject><issn>1063-7095</issn><issn>1573-8582</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhhdRsFb_gKeA59R8dJvkWIpfUD-geg7ZZLaNrJuapIj_3rQreJMcJgzPO8w8VXVJyYQSIq4TJUJITBjHhDKqsDqqRrQWHMtasuPyJzOOBVH1aXWW0jshRAmhRpV-DA46369R3gBa5QgplWIyoNCip9Dj143v0eK7MC56azq02kDXJfTl8wYZ9AIx72IDDi1iSAmvwGYf-gNntnBenbSmS3DxW8fV2-3N6-IeL5_vHhbzJbacqIwbameUOztTTS1k2whlYSobCw0wMJzUVJpp27KZYpyCY03d1EzYqXVcgHOWj6urYe42hs8dpKzfwy6WNZJmUhI5JZLKQk0Gam060L5vQ47Glufgw9vQQ-tLfy6KqGJViRJgQ8Duj4vQ6m30HyZ-a0r03rwezOtiXh_Ma1VCfAilAvdriH-7_JP6AfIohr4</recordid><startdate>20230501</startdate><enddate>20230501</enddate><creator>Grygorenko, O. Ya</creator><creator>Rozhok, L. S.</creator><creator>Onyshchenko, A. M.</creator><creator>Chizhenko, N. P.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230501</creationdate><title>Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape</title><author>Grygorenko, O. Ya ; Rozhok, L. S. ; Onyshchenko, A. M. ; Chizhenko, N. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-b1c613dc69b578fb79ce48bcebe2ea30518a4ff269231ed2b5b527c4cd37eddc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Applications of Mathematics</topic><topic>Boundary conditions</topic><topic>Cylindrical shells</topic><topic>Engineering</topic><topic>Fourier series</topic><topic>Parametric equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grygorenko, O. Ya</creatorcontrib><creatorcontrib>Rozhok, L. S.</creatorcontrib><creatorcontrib>Onyshchenko, A. M.</creatorcontrib><creatorcontrib>Chizhenko, N. P.</creatorcontrib><collection>CrossRef</collection><jtitle>International applied mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grygorenko, O. Ya</au><au>Rozhok, L. S.</au><au>Onyshchenko, A. M.</au><au>Chizhenko, N. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape</atitle><jtitle>International applied mechanics</jtitle><stitle>Int Appl Mech</stitle><date>2023-05-01</date><risdate>2023</risdate><volume>59</volume><issue>3</issue><spage>270</spage><epage>283</epage><pages>270-283</pages><issn>1063-7095</issn><eissn>1573-8582</eissn><abstract>The stress state problem of non-thin cylindrical shells with a perturbed cross-sectional shape is solved using spatial problem statement, analytical methods of separation of variables in two coordinate directions, approximation of functions by discrete Fourier series, and numerical solution in the third coordinate direction with the method of discrete orthogonalization. The shells with certain boundary conditions at the ends are under an external normal load. Typical features of the stress state of the shells are established depending on the length and thickness for two variants of the perturbed surface. The reference cross-sectional surface is described by Pascal’s limacon parametric equation. The results obtained are presented in the form of graphs of stresses in the shells.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10778-023-01219-9</doi><tpages>14</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1063-7095 |
| ispartof | International applied mechanics, 2023-05, Vol.59 (3), p.270-283 |
| issn | 1063-7095 1573-8582 |
| language | eng |
| recordid | cdi_proquest_journals_2880840818 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Applications of Mathematics Boundary conditions Cylindrical shells Engineering Fourier series Parametric equations |
| title | Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T21%3A24%3A46IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Modeling%20the%20Stress%20State%20of%20Non-Thin%20Cylindrical%20Shells%20with%20a%20Perturbed%20Cross-Sectional%20Shape&rft.jtitle=International%20applied%20mechanics&rft.au=Grygorenko,%20O.%20Ya&rft.date=2023-05-01&rft.volume=59&rft.issue=3&rft.spage=270&rft.epage=283&rft.pages=270-283&rft.issn=1063-7095&rft.eissn=1573-8582&rft_id=info:doi/10.1007/s10778-023-01219-9&rft_dat=%3Cgale_proqu%3EA770900797%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2880840818&rft_id=info:pmid/&rft_galeid=A770900797&rfr_iscdi=true |