Analytical and experimental investigation of the rotary inertia effects of unequal end masses on transverse vibration of beams

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dc.authorid0000-0002-7275-1132en_US
dc.authorid0000-0003-2675-1366en_US
dc.contributor.authorBilge, Habibullah
dc.contributor.authorMorgül, Ömer Kadir
dc.date.accessioned2024-07-23T07:38:25Z
dc.date.available2024-07-23T07:38:25Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Mühendislik Fakültesi, Makine Mühendisliği Bölümüen_US
dc.description.abstractIn this study, the transverse vibration of free-free slender beams with two unequal end masses attached were studied. The effects of the rotary inertia of the end masses on the free vibration of the beam were investigated. An exact frequency equation and the boundary conditions were obtained by using the Euler-Bernoulli beam theory and Hamilton's principle. Natural frequencies and mode shapes of the beams in transverse vibrations were calculated for various combinations of physical and geometrical parameters, such as mass ratios, the distances between the attachment point and the center of the masses, etc. The effects of an increase in the rotational inertia of the end masses and different mass ratios on the natural frequencies and mode shapes of the beam are presented. It is shown that the increase in the rotational inertia of the end masses had a greater effect at low frequencies of the beam. In addition, experimental tests were performed to validate the obtained analytical results. A good agreement was obtained between the analytical and experimental results. The main scope of this study was to reveal the effects of the rotary inertia of the end masses on the dynamic behavior of the beam. Thus, the aim is to contribute to the understanding of the properties of the end mass and the effect of rotary inertia on the dynamics of end-mass-attached structures. Furthermore, the results obtained from this research are helpful for designing end-mass-attached structures, such as micromechanical sensors, energy harvesters, and Stockbridge-type dynamic absorbers.en_US
dc.identifier.citationBilge, H., & Morgül, Ö. K. (2023). Analytical and Experimental Investigation of the Rotary Inertia Effects of Unequal End Masses on Transverse Vibration of Beams. Applied Sciences, 13(4), 2518.en_US
dc.identifier.doi10.3390/app13042518
dc.identifier.endpage14en_US
dc.identifier.issn2076-3417
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85149331149en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.3390/app13042518
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12264
dc.identifier.volume13en_US
dc.identifier.wosWOS:000938181300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBilge, Habibullah
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofApplied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTransverse Vibrationen_US
dc.subjectUnequal End Massesen_US
dc.subjectRotary Inertiaen_US
dc.subjectCantilever Beamsen_US
dc.subjectFrequencyen_US
dc.subjectSystemsen_US
dc.titleAnalytical and experimental investigation of the rotary inertia effects of unequal end masses on transverse vibration of beamsen_US
dc.typeArticleen_US

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