Transverse vibrations of double-tapered cantilever beams with end support and with end mass

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dc.contributorVirginia Tech. Department of Mechanical Engineeringen
dc.contributorSandia Corporationen
dc.contributor.authorMabie, Hamilton H.en
dc.contributor.authorRogers, C. B.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessed2015-05-12en
dc.date.accessioned2015-05-27T19:50:20Zen
dc.date.available2015-05-27T19:50:20Zen
dc.date.issued1974en
dc.description.abstractThe free vibrations of a double-tapered cantilever beam with (1) end support and (2) end mass have been investigated using the Bernoulli-Euler equation. The beam was tapered linearly in the horizontal and in the vertical planes simultaneously with the taper ratio in the horizontal plane equal to that in the vertical plane. A table is presented for the first case from which the fundamental frequency, second, third, fourth, and fifth harmonic can easily be obtained for various taper ratios. A chart, plotted from this table, shows the effect of taper ratio on the various harmonics. For the second case, a table and resulting charts show the effect of taper ratio and ratio of end mass to beam mass on the fundamental frequency and higher harmonies. Although previously presented, the case of the beam with free end is also included for purposes of comparison.en
dc.format.extent6 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMabie, H. H. & Rogers, C. B. (1974). Transverse vibrations of double-tapered cantilever beams with end support and with end mass. Journal of the Acoustical Society of America, 55(5), 986-991. doi: 10.1121/1.1914673en
dc.identifier.doihttps://doi.org/10.1121/1.1914673en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52662en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/55/5/10.1121/1.1914673en
dc.language.isoen_USen
dc.publisherAcoustical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBernoulli's principleen
dc.subjectStructural beam vibrationsen
dc.titleTransverse vibrations of double-tapered cantilever beams with end support and with end massen
dc.title.serialJournal of the Acoustical Society of Americaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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