Publication:
A method based on riccati equation for the vibration analysis of rods with variable cross-sections

dc.contributor.buuauthorPALA, YAŞAR
dc.contributor.buuauthorKahya, Çağlar
dc.contributor.buuauthorKAHYA, ÇAĞLAR
dc.contributor.departmentMühendislik Fakültesi
dc.contributor.departmentMakine Mühendisliği Bölümü
dc.contributor.researcheridAAH-3919-2021
dc.date.accessioned2024-10-17T12:36:58Z
dc.date.available2024-10-17T12:36:58Z
dc.date.issued2022-09-15
dc.description.abstractIn this study, the longitudinal vibration of rods with variable cross-sections is studied. For the analytical solution of the problem, a new analytical method based on a recently developed method on the Riccati differential equation is utilized. The governing equation is reduced to Hill's type second-order ordinary differential equation. The transformed equations can readily be solved analytically for various cases according to the method. Seven cases have been considered, and the frequency equations for each case have been obtained. According to the method developed, the problem is solved in the simplest way. By using the present method, the reader can readily decide whether the problem is solved analytically or numerically. The present method can solve the problem of longitudinal vibration of rods having cross-sections of arbitrary shape. Finally, the method is also applied to the longitudinal vibration of stepped rods. Mode shapes are plotted for special values.
dc.identifier.doi10.1142/S0219455422501231
dc.identifier.issn0219-4554
dc.identifier.issue11
dc.identifier.urihttps://doi.org/10.1142/S0219455422501231
dc.identifier.urihttps://hdl.handle.net/11452/46668
dc.identifier.volume22
dc.identifier.wos000840586400006
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.journalInternational Journal Of Structural Stability And Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectLongitudinal vibration
dc.subjectFrequencies
dc.subjectLongitudinal vibration
dc.subjectNon-uniform rods
dc.subjectAnalytical solution
dc.subjectExact solution
dc.subjectRiccati equation
dc.subjectStepped bars
dc.subjectScience & technology
dc.subjectTechnology
dc.subjectEngineering, civil
dc.subjectEngineering, mechanical
dc.subjectMechanics
dc.subjectEngineering
dc.titleA method based on riccati equation for the vibration analysis of rods with variable cross-sections
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentMühendislik Fakültesi/Makine Mühendisliği Bölümü
relation.isAuthorOfPublication9d1fcaa4-f6bb-46f7-beaa-e083f95c9f17
relation.isAuthorOfPublication537fc9ca-c89b-4a47-8855-218a5ba5ac88
relation.isAuthorOfPublication.latestForDiscovery9d1fcaa4-f6bb-46f7-beaa-e083f95c9f17

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