Determination of stiffness modifications to keep certain natural frequencies of a system unchanged after mass modifications

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dc.contributor.authorHuseyinoglu, Mesut
dc.contributor.authorCakar, Orhan
dc.date.accessioned2024-04-24T16:01:53Z
dc.date.available2024-04-24T16:01:53Z
dc.date.issued2017
dc.departmentDicle Üniversitesien_US
dc.description.abstractStructural modifications in the form of mass, stiffness and damping to a structure change the dynamic properties of that structure. However, in some cases, after modifications are made to the structures, certain specified natural frequencies of the structure are desired to remain unchanged. This study is interested in the determination of necessary stiffness modifications in order to keep a certain number of natural frequencies of the system unchanged despite mass attachments. In particular, two methods based on the Sherman-Morrison formula are developed in order to determine the spring coefficients needed to keep one and more than one natural frequency of the structures unchanged. The developed methods directly use the Frequency Response Functions of the unmodified system relating the modification coordinates only and they need neither a physical model nor a modal model. The numerical simulations show that they are very effective. However, due to the nature of the inverse problem, any solution or practical realistic solution may be not found. The existence of the solution depends on also the modification coordinates chosen. A simple sensitivity approach demonstrated by a 3D graph is proposed to be able to choose a suitable modification.en_US
dc.identifier.doi10.1007/s00419-017-1276-3
dc.identifier.endpage1640en_US
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85023164549
dc.identifier.scopusqualityQ2
dc.identifier.startpage1629en_US
dc.identifier.urihttps://doi.org/10.1007/s00419-017-1276-3
dc.identifier.urihttps://hdl.handle.net/11468/14463
dc.identifier.volume87en_US
dc.identifier.wosWOS:000412478000003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofArchive of Applied Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectStructural Modificationen_US
dc.subjectFrequency Response Functionen_US
dc.subjectNatural Frequencyen_US
dc.subjectSherman-Morrison Formulaen_US
dc.titleDetermination of stiffness modifications to keep certain natural frequencies of a system unchanged after mass modificationsen_US
dc.titleDetermination of stiffness modifications to keep certain natural frequencies of a system unchanged after mass modifications
dc.typeArticleen_US

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