On The intrinsic equation behind the Delaunay surfaces
By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions. One of them presents the Euler's elasticas and the other one can be recog...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 280 |
|---|---|
| container_issue | 1 |
| container_start_page | 274 |
| container_title | |
| container_volume | 1079 |
| creator | Mladenov, Ivailo M Hadzhilazova, Mariana Ts Djondjorov, Peter A Vassilev, Vassil M |
| description | By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions. One of them presents the Euler's elasticas and the other one can be recognized as the class of Delaunay surfaces. The intrinsic equation describing the profile curves of the later is found and solved and this leads to new analytical formulas for these surfaces. |
| doi_str_mv | 10.1063/1.3043869 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>proquest_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_21254874</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>35538727</sourcerecordid><originalsourceid>FETCH-LOGICAL-c254t-34bfca7afc65e0f6e23b2dcb644f87f87de489ca0096c47689794f7e0e5bb25b3</originalsourceid><addsrcrecordid>eNotjk1LAzEYhIMfYK09-A8WBG9b8_0mR6mfUOilgrclSd_QyJq1Tfbgv3ehwsAc5mFmCLlldMmoFg9sKagURtszMmNKsRY00-dkYcFQEEpSzSi9IDNKrWy5FJ9X5LqUL0q5BTAzoje52e6xSbkeUy4pNHgYXU1DbjzuU941dUqfsHdjdr9NGY_RBSw35DK6vuDi3-fk4-V5u3pr15vX99Xjug1cydoK6WNw4GLQCmnUyIXnu-C1lNHApB1KY4Ob3ukgQRsLVkZAisp7rryYk7tT71Bq6kpIFcM-DDljqB1n04gBOVH3J-rnOBxGLLX7TiVg37uMw1g6oZQwwEH8AdRoVsY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype><pqid>35538727</pqid></control><display><type>conference_proceeding</type><title>On The intrinsic equation behind the Delaunay surfaces</title><source>AIP Journals Complete</source><creator>Mladenov, Ivailo M ; Hadzhilazova, Mariana Ts ; Djondjorov, Peter A ; Vassilev, Vassil M</creator><creatorcontrib>Mladenov, Ivailo M ; Hadzhilazova, Mariana Ts ; Djondjorov, Peter A ; Vassilev, Vassil M</creatorcontrib><description>By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions. One of them presents the Euler's elasticas and the other one can be recognized as the class of Delaunay surfaces. The intrinsic equation describing the profile curves of the later is found and solved and this leads to new analytical formulas for these surfaces.</description><identifier>ISSN: 0094-243X</identifier><identifier>ISBN: 9780735406100</identifier><identifier>ISBN: 0735406103</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.3043869</identifier><language>eng</language><publisher>United States</publisher><subject>ANALYTICAL SOLUTION ; AXIAL SYMMETRY ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; DIFFERENTIAL EQUATIONS ; EQUILIBRIUM ; NUMERICAL ANALYSIS</subject><ispartof>AIP conference proceedings, 2008, Vol.1079 (1), p.274-280</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c254t-34bfca7afc65e0f6e23b2dcb644f87f87de489ca0096c47689794f7e0e5bb25b3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27922,27923</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/21254874$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Mladenov, Ivailo M</creatorcontrib><creatorcontrib>Hadzhilazova, Mariana Ts</creatorcontrib><creatorcontrib>Djondjorov, Peter A</creatorcontrib><creatorcontrib>Vassilev, Vassil M</creatorcontrib><title>On The intrinsic equation behind the Delaunay surfaces</title><title>AIP conference proceedings</title><description>By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions. One of them presents the Euler's elasticas and the other one can be recognized as the class of Delaunay surfaces. The intrinsic equation describing the profile curves of the later is found and solved and this leads to new analytical formulas for these surfaces.</description><subject>ANALYTICAL SOLUTION</subject><subject>AXIAL SYMMETRY</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>EQUILIBRIUM</subject><subject>NUMERICAL ANALYSIS</subject><issn>0094-243X</issn><issn>1551-7616</issn><isbn>9780735406100</isbn><isbn>0735406103</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotjk1LAzEYhIMfYK09-A8WBG9b8_0mR6mfUOilgrclSd_QyJq1Tfbgv3ehwsAc5mFmCLlldMmoFg9sKagURtszMmNKsRY00-dkYcFQEEpSzSi9IDNKrWy5FJ9X5LqUL0q5BTAzoje52e6xSbkeUy4pNHgYXU1DbjzuU941dUqfsHdjdr9NGY_RBSw35DK6vuDi3-fk4-V5u3pr15vX99Xjug1cydoK6WNw4GLQCmnUyIXnu-C1lNHApB1KY4Ob3ukgQRsLVkZAisp7rryYk7tT71Bq6kpIFcM-DDljqB1n04gBOVH3J-rnOBxGLLX7TiVg37uMw1g6oZQwwEH8AdRoVsY</recordid><startdate>20080101</startdate><enddate>20080101</enddate><creator>Mladenov, Ivailo M</creator><creator>Hadzhilazova, Mariana Ts</creator><creator>Djondjorov, Peter A</creator><creator>Vassilev, Vassil M</creator><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20080101</creationdate><title>On The intrinsic equation behind the Delaunay surfaces</title><author>Mladenov, Ivailo M ; Hadzhilazova, Mariana Ts ; Djondjorov, Peter A ; Vassilev, Vassil M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c254t-34bfca7afc65e0f6e23b2dcb644f87f87de489ca0096c47689794f7e0e5bb25b3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>ANALYTICAL SOLUTION</topic><topic>AXIAL SYMMETRY</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>EQUILIBRIUM</topic><topic>NUMERICAL ANALYSIS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mladenov, Ivailo M</creatorcontrib><creatorcontrib>Hadzhilazova, Mariana Ts</creatorcontrib><creatorcontrib>Djondjorov, Peter A</creatorcontrib><creatorcontrib>Vassilev, Vassil M</creatorcontrib><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mladenov, Ivailo M</au><au>Hadzhilazova, Mariana Ts</au><au>Djondjorov, Peter A</au><au>Vassilev, Vassil M</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On The intrinsic equation behind the Delaunay surfaces</atitle><btitle>AIP conference proceedings</btitle><date>2008-01-01</date><risdate>2008</risdate><volume>1079</volume><issue>1</issue><spage>274</spage><epage>280</epage><pages>274-280</pages><issn>0094-243X</issn><eissn>1551-7616</eissn><isbn>9780735406100</isbn><isbn>0735406103</isbn><abstract>By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions. One of them presents the Euler's elasticas and the other one can be recognized as the class of Delaunay surfaces. The intrinsic equation describing the profile curves of the later is found and solved and this leads to new analytical formulas for these surfaces.</abstract><cop>United States</cop><doi>10.1063/1.3043869</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2008, Vol.1079 (1), p.274-280 |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_osti_scitechconnect_21254874 |
| source | AIP Journals Complete |
| subjects | ANALYTICAL SOLUTION AXIAL SYMMETRY CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFERENTIAL EQUATIONS EQUILIBRIUM NUMERICAL ANALYSIS |
| title | On The intrinsic equation behind the Delaunay surfaces |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T14%3A45%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=On%20The%20intrinsic%20equation%20behind%20the%20Delaunay%20surfaces&rft.btitle=AIP%20conference%20proceedings&rft.au=Mladenov,%20Ivailo%20M&rft.date=2008-01-01&rft.volume=1079&rft.issue=1&rft.spage=274&rft.epage=280&rft.pages=274-280&rft.issn=0094-243X&rft.eissn=1551-7616&rft.isbn=9780735406100&rft.isbn_list=0735406103&rft_id=info:doi/10.1063/1.3043869&rft_dat=%3Cproquest_osti_%3E35538727%3C/proquest_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=35538727&rft_id=info:pmid/&rfr_iscdi=true |