Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2505
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dc.contributor.authorKarami, M. A.-
dc.contributor.authorYardımoğlu, Bülent-
dc.contributor.authorInman, Daniel J.-
dc.date.accessioned2016-11-23T12:27:41Z-
dc.date.available2016-11-23T12:27:41Z-
dc.date.issued2010-12-
dc.identifier.citationKarami, M. A., Yardımoğlu, B., and Inman, D. J.(2010). Coupled out of plane vibrations of spiral beams for micro-scale applications. Journal of Sound and Vibration, 329(26), 5584-5599. doi:10.1016/j.jsv.2010.07.013en_US
dc.identifier.issn0022-460X-
dc.identifier.issn1095-8568-
dc.identifier.urihttp://doi.org/10.1016/j.jsv.2010.07.013-
dc.identifier.urihttp://hdl.handle.net/11147/2505-
dc.description.abstractAn analytical method is proposed to calculate the natural frequencies and the corresponding mode shape functions of an Archimedean spiral beam. The deflection of the beam is due to both bending and torsion, which makes the problem coupled in nature. The governing partial differential equations and the boundary conditions are derived using Hamilton's principle. Two factors make the vibrations of spirals different from oscillations of constant radius arcs. The first is the presence of terms with derivatives of the radius in the governing equations of spirals and the second is the fact that variations of radius of the beam causes the coefficients of the differential equations to be variable. It is demonstrated, using perturbation techniques that the derivative of the radius terms have negligible effect on structure's dynamics. The spiral is then approximated with many merging constant-radius curved sections joined together to approximate the slow change of radius along the spiral. The equations of motion are formulated in non-dimensional form and the effect of all the key parameters on natural frequencies is presented. Non-dimensional curves are used to summarize the results for clarity. We also solve the governing equations using Rayleigh's approximate method. The fundamental frequency results of the exact and Rayleigh's method are in close agreement. This to some extent verifies the exact solutions. The results show that the vibration of spirals is mostly torsional which complicates using the spiral beam as a host for a sensor or energy harvesting device.en_US
dc.description.sponsorshipUS Department of Commerce, National Institute of Standardsand Technology, Technology Innovation Program, Cooperative Agreement Number 70NANB9H9007en_US
dc.language.isoenen_US
dc.publisherAcademic Press Inc.en_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEquations of motionen_US
dc.subjectEnergy harvestingen_US
dc.subjectFunction evaluationen_US
dc.subjectRayleigh's methoden_US
dc.subjectFundamental frequenciesen_US
dc.titleCoupled out of plane vibrations of spiral beams for micro-scale applicationsen_US
dc.typeArticleen_US
dc.authoridTR7472en_US
dc.institutionauthorYardımoğlu, Bülent-
dc.departmentİzmir Institute of Technology. Mechanical Engineeringen_US
dc.identifier.volume329en_US
dc.identifier.issue26en_US
dc.identifier.startpage5584en_US
dc.identifier.endpage5599en_US
dc.identifier.wosWOS:000282401100012en_US
dc.identifier.scopus2-s2.0-77958075940en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1016/j.jsv.2010.07.013-
dc.relation.doi10.1016/j.jsv.2010.07.013en_US
dc.coverage.doi10.1016/j.jsv.2010.07.013en_US
local.message.claim2022-06-03T15:45:10.907+0300*
local.message.claim|rp02943*
local.message.claim|submit_approve*
local.message.claim|dc_contributor_author*
local.message.claim|None*
dc.identifier.wosqualityQ1-
dc.identifier.scopusqualityQ1-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept03.10. Department of Mechanical Engineering-
Appears in Collections:Mechanical Engineering / Makina Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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