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dc.contributorVirginia Tech. Department of Mechanical Engineeringen_US
dc.contributorSandia Corporationen_US
dc.contributor.authorMabie, Hamilton H.en_US
dc.contributor.authorRogers, C. B.en_US
dc.date.accessioned2015-05-27T19:50:20Z
dc.date.available2015-05-27T19:50:20Z
dc.date.issued1974
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_US
dc.identifier.issn0001-4966en_US
dc.identifier.urihttp://hdl.handle.net/10919/52662
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_US
dc.format.extent6 pagesen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.publisherAcoustical Society of Americaen_US
dc.subjectBernoulli's principleen_US
dc.subjectStructural beam vibrationsen_US
dc.titleTransverse vibrations of double-tapered cantilever beams with end support and with end massen_US
dc.typeArticle - Refereeden_US
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/55/5/10.1121/1.1914673en_US
dc.date.accessed2015-05-12en_US
dc.title.serialJournal of the Acoustical Society of Americaen_US
dc.identifier.doihttps://doi.org/10.1121/1.1914673
dc.type.dcmitypeTexten_US


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