Mathematical Modeling in Static Three-Dimensional Boundary-Value Problems: A Skew-Symmetric Problem for a Layer Weakened by a Through Hole with Sliding end Clamping
The authors overview spatial static boundary-value problems of mathematical physics for a layer. The problem for a layer with a non-circular cylindrical through hole is solved using the singular integral equations (SIE) method. A new mathematical model has been constructed; namely, a new method base...
Gespeichert in:
| Veröffentlicht in: | Cybernetics and systems analysis 2024, Vol.60 (1), p.152-162 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 162 |
|---|---|
| container_issue | 1 |
| container_start_page | 152 |
| container_title | Cybernetics and systems analysis |
| container_volume | 60 |
| creator | Panchenko, B. E. Kovalev, Yu.D. Kalinina, T. O. Saiko, I. N. Bukata, L. M. |
| description | The authors overview spatial static boundary-value problems of mathematical physics for a layer. The problem for a layer with a non-circular cylindrical through hole is solved using the singular integral equations (SIE) method. A new mathematical model has been constructed; namely, a new method based on a system of three SIEs has been developed and tested numerically. As a result of a high-precision numerical study, it was found that as the thickness of the layer increases, the relative circumferential stress grows. In the case of a circular hole, the maximum relative circumferential stress shifts inside from the ends. |
| doi_str_mv | 10.1007/s10559-024-00656-9 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2926157574</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2926157574</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-64c9b30d4e344e8922964b185578390fe85f11c6209ec58dbdb245c31212f8543</originalsourceid><addsrcrecordid>eNp9UctOwzAQjBBIlMcPcLLE2bC24yTmBuUpFYHUAkfLSTZtIImLnajq__ChuBSJG6d9zYx2d6LohMEZA0jPPQMpFQUeU4BEJlTtRCMmU0EzIdLdkEMCFIRK9qMD798BQECajaKvR9MvsDV9XZiGPNoSm7qbk7oj037TJLOFQ6TXdYudr20XQFd26Erj1vTVNAOSZ2fzBlt_QS7J9ANXdLpuW-xd4P6OSGUdMWRi1ujIG5oP7LAk-Tr0grod5gtybxskq7pfkGlTl5sNsCvJuDHtMhRH0V5lGo_Hv_Ewerm9mY3v6eTp7mF8OaEFT6GnSVyoXEAZo4hjzBTnKolzlkmZZkJBhZmsGCsSDgoLmZV5mfNYFoJxxqtMxuIwOt3qLp39HND3-t0OLtzsNVc8Cf-U6QbFt6jCWe8dVnrp6jY8RDPQGzf01g0d3NA_bmgVSGJL8gHczdH9Sf_D-gboUo2O</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2926157574</pqid></control><display><type>article</type><title>Mathematical Modeling in Static Three-Dimensional Boundary-Value Problems: A Skew-Symmetric Problem for a Layer Weakened by a Through Hole with Sliding end Clamping</title><source>SpringerLink Journals - AutoHoldings</source><creator>Panchenko, B. E. ; Kovalev, Yu.D. ; Kalinina, T. O. ; Saiko, I. N. ; Bukata, L. M.</creator><creatorcontrib>Panchenko, B. E. ; Kovalev, Yu.D. ; Kalinina, T. O. ; Saiko, I. N. ; Bukata, L. M.</creatorcontrib><description>The authors overview spatial static boundary-value problems of mathematical physics for a layer. The problem for a layer with a non-circular cylindrical through hole is solved using the singular integral equations (SIE) method. A new mathematical model has been constructed; namely, a new method based on a system of three SIEs has been developed and tested numerically. As a result of a high-precision numerical study, it was found that as the thickness of the layer increases, the relative circumferential stress grows. In the case of a circular hole, the maximum relative circumferential stress shifts inside from the ends.</description><identifier>ISSN: 1060-0396</identifier><identifier>EISSN: 1573-8337</identifier><identifier>DOI: 10.1007/s10559-024-00656-9</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Artificial Intelligence ; Boundary value problems ; Control ; Mathematical analysis ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Processor Architectures ; Singular integral equations ; Software Engineering/Programming and Operating Systems ; Systems Theory ; Thickness</subject><ispartof>Cybernetics and systems analysis, 2024, Vol.60 (1), p.152-162</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2024. 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><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-64c9b30d4e344e8922964b185578390fe85f11c6209ec58dbdb245c31212f8543</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/s10559-024-00656-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10559-024-00656-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Panchenko, B. E.</creatorcontrib><creatorcontrib>Kovalev, Yu.D.</creatorcontrib><creatorcontrib>Kalinina, T. O.</creatorcontrib><creatorcontrib>Saiko, I. N.</creatorcontrib><creatorcontrib>Bukata, L. M.</creatorcontrib><title>Mathematical Modeling in Static Three-Dimensional Boundary-Value Problems: A Skew-Symmetric Problem for a Layer Weakened by a Through Hole with Sliding end Clamping</title><title>Cybernetics and systems analysis</title><addtitle>Cybern Syst Anal</addtitle><description>The authors overview spatial static boundary-value problems of mathematical physics for a layer. The problem for a layer with a non-circular cylindrical through hole is solved using the singular integral equations (SIE) method. A new mathematical model has been constructed; namely, a new method based on a system of three SIEs has been developed and tested numerically. As a result of a high-precision numerical study, it was found that as the thickness of the layer increases, the relative circumferential stress grows. In the case of a circular hole, the maximum relative circumferential stress shifts inside from the ends.</description><subject>Artificial Intelligence</subject><subject>Boundary value problems</subject><subject>Control</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Processor Architectures</subject><subject>Singular integral equations</subject><subject>Software Engineering/Programming and Operating Systems</subject><subject>Systems Theory</subject><subject>Thickness</subject><issn>1060-0396</issn><issn>1573-8337</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9UctOwzAQjBBIlMcPcLLE2bC24yTmBuUpFYHUAkfLSTZtIImLnajq__ChuBSJG6d9zYx2d6LohMEZA0jPPQMpFQUeU4BEJlTtRCMmU0EzIdLdkEMCFIRK9qMD798BQECajaKvR9MvsDV9XZiGPNoSm7qbk7oj037TJLOFQ6TXdYudr20XQFd26Erj1vTVNAOSZ2fzBlt_QS7J9ANXdLpuW-xd4P6OSGUdMWRi1ujIG5oP7LAk-Tr0grod5gtybxskq7pfkGlTl5sNsCvJuDHtMhRH0V5lGo_Hv_Ewerm9mY3v6eTp7mF8OaEFT6GnSVyoXEAZo4hjzBTnKolzlkmZZkJBhZmsGCsSDgoLmZV5mfNYFoJxxqtMxuIwOt3qLp39HND3-t0OLtzsNVc8Cf-U6QbFt6jCWe8dVnrp6jY8RDPQGzf01g0d3NA_bmgVSGJL8gHczdH9Sf_D-gboUo2O</recordid><startdate>2024</startdate><enddate>2024</enddate><creator>Panchenko, B. E.</creator><creator>Kovalev, Yu.D.</creator><creator>Kalinina, T. O.</creator><creator>Saiko, I. N.</creator><creator>Bukata, L. M.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>2024</creationdate><title>Mathematical Modeling in Static Three-Dimensional Boundary-Value Problems: A Skew-Symmetric Problem for a Layer Weakened by a Through Hole with Sliding end Clamping</title><author>Panchenko, B. E. ; Kovalev, Yu.D. ; Kalinina, T. O. ; Saiko, I. N. ; Bukata, L. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-64c9b30d4e344e8922964b185578390fe85f11c6209ec58dbdb245c31212f8543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Artificial Intelligence</topic><topic>Boundary value problems</topic><topic>Control</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Processor Architectures</topic><topic>Singular integral equations</topic><topic>Software Engineering/Programming and Operating Systems</topic><topic>Systems Theory</topic><topic>Thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Panchenko, B. E.</creatorcontrib><creatorcontrib>Kovalev, Yu.D.</creatorcontrib><creatorcontrib>Kalinina, T. O.</creatorcontrib><creatorcontrib>Saiko, I. N.</creatorcontrib><creatorcontrib>Bukata, L. M.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Cybernetics and systems analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Panchenko, B. E.</au><au>Kovalev, Yu.D.</au><au>Kalinina, T. O.</au><au>Saiko, I. N.</au><au>Bukata, L. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Modeling in Static Three-Dimensional Boundary-Value Problems: A Skew-Symmetric Problem for a Layer Weakened by a Through Hole with Sliding end Clamping</atitle><jtitle>Cybernetics and systems analysis</jtitle><stitle>Cybern Syst Anal</stitle><date>2024</date><risdate>2024</risdate><volume>60</volume><issue>1</issue><spage>152</spage><epage>162</epage><pages>152-162</pages><issn>1060-0396</issn><eissn>1573-8337</eissn><abstract>The authors overview spatial static boundary-value problems of mathematical physics for a layer. The problem for a layer with a non-circular cylindrical through hole is solved using the singular integral equations (SIE) method. A new mathematical model has been constructed; namely, a new method based on a system of three SIEs has been developed and tested numerically. As a result of a high-precision numerical study, it was found that as the thickness of the layer increases, the relative circumferential stress grows. In the case of a circular hole, the maximum relative circumferential stress shifts inside from the ends.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10559-024-00656-9</doi><tpages>11</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1060-0396 |
| ispartof | Cybernetics and systems analysis, 2024, Vol.60 (1), p.152-162 |
| issn | 1060-0396 1573-8337 |
| language | eng |
| recordid | cdi_proquest_journals_2926157574 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Artificial Intelligence Boundary value problems Control Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Processor Architectures Singular integral equations Software Engineering/Programming and Operating Systems Systems Theory Thickness |
| title | Mathematical Modeling in Static Three-Dimensional Boundary-Value Problems: A Skew-Symmetric Problem for a Layer Weakened by a Through Hole with Sliding end Clamping |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T17%3A54%3A22IST&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=Mathematical%20Modeling%20in%20Static%20Three-Dimensional%20Boundary-Value%20Problems:%20A%20Skew-Symmetric%20Problem%20for%20a%20Layer%20Weakened%20by%20a%20Through%20Hole%20with%20Sliding%20end%20Clamping&rft.jtitle=Cybernetics%20and%20systems%20analysis&rft.au=Panchenko,%20B.%20E.&rft.date=2024&rft.volume=60&rft.issue=1&rft.spage=152&rft.epage=162&rft.pages=152-162&rft.issn=1060-0396&rft.eissn=1573-8337&rft_id=info:doi/10.1007/s10559-024-00656-9&rft_dat=%3Cproquest_cross%3E2926157574%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=2926157574&rft_id=info:pmid/&rfr_iscdi=true |