Boundary conditions and mode jumping in the von Kármán equations
Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply support...
Gespeichert in:
Veröffentlicht in: | SIAM journal on mathematical analysis 1984-05, Vol.15 (3), p.446-458 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 458 |
---|---|
container_issue | 3 |
container_start_page | 446 |
container_title | SIAM journal on mathematical analysis |
container_volume | 15 |
creator | HOLDER, E. J SCHAEFFER, D |
description | Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply supported boundary conditions are imposed. |
doi_str_mv | 10.1137/0515034 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_24126506</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>24126506</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1576-a9aed1ad493ecb1a6243dd49f0a6257d210d042806a9b6a2b77c9a94812690d3</originalsourceid><addsrcrecordid>eNpd0M1KAzEQB_AgCtYqvkIQ0dPqzOarOWrxCwteel_SJKtbukmbdAUfp8_SF3O1xYOnmYEff4Y_IecIN4hM3YJAAYwfkAGCFoVCwQ_JAIDJAjnCMTnJeQ6AkmsYkPv72AVn0he1Mbhm3cSQqQmOttF5Ou_aZRPeaRPo-sPTzxjo63aT2u0mUL_qzC8_JUe1WWR_tp9DMn18mI6fi8nb08v4blJYFEoWRhvv0DiumbczNLLkzPVXDf0qlCsRHPByBNLomTTlTCmrjeYjLKUGx4bkahe7THHV-byu2iZbv1iY4GOXq5L3UIDs4cU_OI9dCv1rlS65FsgV69H1DtkUc06-rpapafseKoTqp8dq32MvL_dxJluzqJMJtsl_XKOWalSyb1vCcI0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>924951473</pqid></control><display><type>article</type><title>Boundary conditions and mode jumping in the von Kármán equations</title><source>LOCUS - SIAM's Online Journal Archive</source><creator>HOLDER, E. J ; SCHAEFFER, D</creator><creatorcontrib>HOLDER, E. J ; SCHAEFFER, D</creatorcontrib><description>Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply supported boundary conditions are imposed.</description><identifier>ISSN: 0036-1410</identifier><identifier>EISSN: 1095-7154</identifier><identifier>DOI: 10.1137/0515034</identifier><language>eng</language><publisher>Philadelphia, PA: Society for Industrial and Applied Mathematics</publisher><subject>Applied mathematics ; Boundary conditions ; Eigenvalues ; Exact sciences and technology ; Experiments ; Function theory, analysis ; Load ; Mathematical methods in physics ; Physics ; Ratios</subject><ispartof>SIAM journal on mathematical analysis, 1984-05, Vol.15 (3), p.446-458</ispartof><rights>1985 INIST-CNRS</rights><rights>[Copyright] © 1984 © Society for Industrial and Applied Mathematics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c1576-a9aed1ad493ecb1a6243dd49f0a6257d210d042806a9b6a2b77c9a94812690d3</citedby><cites>FETCH-LOGICAL-c1576-a9aed1ad493ecb1a6243dd49f0a6257d210d042806a9b6a2b77c9a94812690d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,3172,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=9196782$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>HOLDER, E. J</creatorcontrib><creatorcontrib>SCHAEFFER, D</creatorcontrib><title>Boundary conditions and mode jumping in the von Kármán equations</title><title>SIAM journal on mathematical analysis</title><description>Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply supported boundary conditions are imposed.</description><subject>Applied mathematics</subject><subject>Boundary conditions</subject><subject>Eigenvalues</subject><subject>Exact sciences and technology</subject><subject>Experiments</subject><subject>Function theory, analysis</subject><subject>Load</subject><subject>Mathematical methods in physics</subject><subject>Physics</subject><subject>Ratios</subject><issn>0036-1410</issn><issn>1095-7154</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1984</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNpd0M1KAzEQB_AgCtYqvkIQ0dPqzOarOWrxCwteel_SJKtbukmbdAUfp8_SF3O1xYOnmYEff4Y_IecIN4hM3YJAAYwfkAGCFoVCwQ_JAIDJAjnCMTnJeQ6AkmsYkPv72AVn0he1Mbhm3cSQqQmOttF5Ou_aZRPeaRPo-sPTzxjo63aT2u0mUL_qzC8_JUe1WWR_tp9DMn18mI6fi8nb08v4blJYFEoWRhvv0DiumbczNLLkzPVXDf0qlCsRHPByBNLomTTlTCmrjeYjLKUGx4bkahe7THHV-byu2iZbv1iY4GOXq5L3UIDs4cU_OI9dCv1rlS65FsgV69H1DtkUc06-rpapafseKoTqp8dq32MvL_dxJluzqJMJtsl_XKOWalSyb1vCcI0</recordid><startdate>19840501</startdate><enddate>19840501</enddate><creator>HOLDER, E. J</creator><creator>SCHAEFFER, D</creator><general>Society for Industrial and Applied Mathematics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7RQ</scope><scope>7WY</scope><scope>7WZ</scope><scope>7X2</scope><scope>7XB</scope><scope>87Z</scope><scope>88A</scope><scope>88F</scope><scope>88I</scope><scope>88K</scope><scope>8AL</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KB.</scope><scope>L.-</scope><scope>L6V</scope><scope>LK8</scope><scope>M0C</scope><scope>M0K</scope><scope>M0N</scope><scope>M1Q</scope><scope>M2O</scope><scope>M2P</scope><scope>M2T</scope><scope>M7P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PDBOC</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>U9A</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19840501</creationdate><title>Boundary conditions and mode jumping in the von Kármán equations</title><author>HOLDER, E. J ; SCHAEFFER, D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1576-a9aed1ad493ecb1a6243dd49f0a6257d210d042806a9b6a2b77c9a94812690d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1984</creationdate><topic>Applied mathematics</topic><topic>Boundary conditions</topic><topic>Eigenvalues</topic><topic>Exact sciences and technology</topic><topic>Experiments</topic><topic>Function theory, analysis</topic><topic>Load</topic><topic>Mathematical methods in physics</topic><topic>Physics</topic><topic>Ratios</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>HOLDER, E. J</creatorcontrib><creatorcontrib>SCHAEFFER, D</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Career & Technical Education Database</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>Agricultural Science Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Military Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Telecommunications (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>Agricultural & Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Materials Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>ABI/INFORM Global</collection><collection>Agricultural Science Database</collection><collection>Computing Database</collection><collection>Military Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Telecommunications Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>SIAM journal on mathematical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>HOLDER, E. J</au><au>SCHAEFFER, D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Boundary conditions and mode jumping in the von Kármán equations</atitle><jtitle>SIAM journal on mathematical analysis</jtitle><date>1984-05-01</date><risdate>1984</risdate><volume>15</volume><issue>3</issue><spage>446</spage><epage>458</epage><pages>446-458</pages><issn>0036-1410</issn><eissn>1095-7154</eissn><abstract>Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply supported boundary conditions are imposed.</abstract><cop>Philadelphia, PA</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/0515034</doi><tpages>13</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0036-1410 |
ispartof | SIAM journal on mathematical analysis, 1984-05, Vol.15 (3), p.446-458 |
issn | 0036-1410 1095-7154 |
language | eng |
recordid | cdi_proquest_miscellaneous_24126506 |
source | LOCUS - SIAM's Online Journal Archive |
subjects | Applied mathematics Boundary conditions Eigenvalues Exact sciences and technology Experiments Function theory, analysis Load Mathematical methods in physics Physics Ratios |
title | Boundary conditions and mode jumping in the von Kármán equations |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T21%3A30%3A06IST&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=Boundary%20conditions%20and%20mode%20jumping%20in%20the%20von%20K%C3%A1rm%C3%A1n%20equations&rft.jtitle=SIAM%20journal%20on%20mathematical%20analysis&rft.au=HOLDER,%20E.%20J&rft.date=1984-05-01&rft.volume=15&rft.issue=3&rft.spage=446&rft.epage=458&rft.pages=446-458&rft.issn=0036-1410&rft.eissn=1095-7154&rft_id=info:doi/10.1137/0515034&rft_dat=%3Cproquest_cross%3E24126506%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=924951473&rft_id=info:pmid/&rfr_iscdi=true |