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dc.contributor.authorGottlieb, Hans
dc.date.accessioned2017-05-03T13:41:30Z
dc.date.available2017-05-03T13:41:30Z
dc.date.issued1998
dc.date.modified2010-02-17T06:44:57Z
dc.identifier.issn0022460X
dc.identifier.doi10.1006/jsvi.1997.1436
dc.identifier.urihttp://hdl.handle.net/10072/22798
dc.description.abstractFor two different but isospectral polygonal membrane shapes (sharing the same complete vibration spectrum) formed from seven congruent elemental isosceles triangles, some exact shared frequencies and analytical modal function expressions which display the nodal curves are given explicitly. Both Dirichlet (fixed) and Neumann (free) boundary conditions are considered. Figures of the first few nodal patterns are drawn: they are quite distinctive and not all merely restricted to regular rectilinear sub-divisions. Computed modal function contour plots enable the overall sequential mode numbers to be assigned. The exact frequencies and sequential mode numbers for these analytical modes could be used as benchmarks in experimental investigations. The relevance for simply-supported polygonal plates is also discussed.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAcademic Press
dc.publisher.placeUK
dc.relation.ispartofpagefrom253
dc.relation.ispartofpageto264
dc.relation.ispartofissue2
dc.relation.ispartofjournalJournal of Sound and Vibration
dc.relation.ispartofvolume212
dc.subject.fieldofresearchEngineering not elsewhere classified
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode099999
dc.subject.fieldofresearchcode02
dc.subject.fieldofresearchcode09
dc.titleExact Shared Modal Functions and Frequencies for Fixed and Free Isospectral Membrane Shapes Formed from Triangles
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.date.issued1998
gro.hasfulltextNo Full Text
gro.griffith.authorGottlieb, Hans P.
gro.griffith.authorMcManus, James


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