Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/71295
DC FieldValueLanguage
dc.contributor.authorChien, C.S.en_US
dc.contributor.authorGong, S.Y.en_US
dc.contributor.authorMei, Z.en_US
dc.date2000zh_TW
dc.date.accessioned2014-06-11T06:01:09Z-
dc.date.available2014-06-11T06:01:09Z-
dc.identifier.issn1064-8275zh_TW
dc.identifier.urihttp://hdl.handle.net/11455/71295-
dc.description.abstractWe study numerical approximations of bifurcating solution curves of the von Karman equations with simply supported and clamped boundary conditions, respectively. Of special interest here is the splitting of a double bifurcation point into two simple bifurcation points, and the tracing of the associated secondary solution branches, which corresponds to the phenomenon of mode jumping in the buckling of a rectangular plate. A continuation-unsymmetric Lanczos algorithm is utilized for curve-tracking. Our numerical results verify the theoretical prediction of Schaeffer and Golubitsky, namely, mode jumping occurs when the boundary is partially clamped, but not if it is merely simply supported.en_US
dc.language.isoen_USzh_TW
dc.relationSiam Journal on Scientific Computingen_US
dc.relation.ispartofseriesSiam Journal on Scientific Computing, Volume 22, Issue 4, Page(s) 1354-1385.en_US
dc.relation.urihttp://dx.doi.org/10.1137/s1064827596307324en_US
dc.subjectvon Karman equationsen_US
dc.subjectmode jumpingen_US
dc.subjectbifurcationen_US
dc.subjectcontinuation methodsen_US
dc.subjectunsymmetric Lanczos methoden_US
dc.subjectcontinuation problemsen_US
dc.subjectbuckling problemen_US
dc.subjectbifurcationsen_US
dc.subjectalgorithmen_US
dc.subjectsystemsen_US
dc.titleMode jumping in the von Karman equationsen_US
dc.typeJournal Articlezh_TW
dc.identifier.doi10.1137/s1064827596307324zh_TW
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeJournal Article-
item.cerifentitytypePublications-
item.fulltextno fulltext-
item.languageiso639-1en_US-
item.grantfulltextnone-
Appears in Collections:期刊論文
Show simple item record
 

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.