Investigation of Subcombination Internal Resonances in Cantilever Beams

Simple item page
dc.contributor.authorArafat, Haider N.en
dc.contributor.authorNayfeh, Ali H.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessioned2017-09-18T10:10:06Zen
dc.date.available2017-09-18T10:10:06Zen
dc.date.issued1998-01-01en
dc.date.updated2017-09-18T10:10:06Zen
dc.description.abstractActivation of subcombination internal resonances in transversely excited cantilever beams is investigated. The effect of geometric and inertia nonlinearities, which are cubic in the governing equation of motion, is considered. The method of time-averaged Lagrangian and virtual work is used to determine six nonlinear ordinary-differential equations governing the amplitudes and phases of the three interacting modes. Frequency- and force-response curves are generated for the case ω ≈ ω4 ≈ 1/2(ω2 + ω5). There are two possible responses: single-mode and three-mode responses. The single-mode periodic response is found to undergo supercritical and subcritical pitchfork bifurcations, which result in three-mode interactions. In the case of three-mode responses, there are conditions where the low-frequency mode dominates the response, resulting in high-amplitude quasiperiodic oscillations.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHaider N. Arafat and Ali H. Nayfeh, “Investigation of Subcombination Internal Resonances in Cantilever Beams,” Shock and Vibration, vol. 5, no. 5-6, pp. 289-296, 1998. doi:10.1155/1998/649527en
dc.identifier.doihttps://doi.org/10.1155/1998/649527en
dc.identifier.urihttp://hdl.handle.net/10919/79111en
dc.language.isoenen
dc.publisherHindawien
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderCopyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleInvestigation of Subcombination Internal Resonances in Cantilever Beamsen
dc.title.serialShock and Vibrationen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 2 of 2
Name:
SV.1998.649527.xml
Size:
4.88 KB
Format:
Extensible Markup Language
Download
Thumbnail Image
Name:
SV.1998.649527.pdf
Size:
177.82 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
Name:
license.txt
Size:
1.5 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Journal Articles, Hindawi Press
Scholarly Works, Biomedical Engineering and Mechanics