Inverse boundary problems for intermediate springs on a rod with geometrical symmetry

dc.contributor.authorNurakhmetov, Daulet B.
dc.contributor.authorJumabayev, Serik A.
dc.contributor.authorAniyarov, Almir A.
dc.date.accessioned2022-03-22T18:20:03Z
dc.date.available2022-03-22T18:20:03Z
dc.date.issued2017-01-30
dc.description.abstractIn this article we try to solve the inverse problem of determining the coefficients of stiffness of the intermediates on the springs on the rod from the two known natural frequencies. We find sufficient conditions for the existence of a unique solution to the inverse problem of determining the stiffness on the intermediates of the springs of non-terminal points of the rod from the two known natural frequencies. It was shown that for the determination of the coefficients of stiffness of the springs played an essential role in the geometric symmetry of the arrangement of the spring relative to the rod center.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNurakhmetov, D. B., Jumabayev, S. A., & Aniyarov, A. A. (2017). Inverse boundary problems for intermediate springs on a rod with geometrical symmetry. <i>Electronic Journal of Differential Equations, 2017</i>(33), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15538
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNatural frequencies
dc.subjectRod
dc.subjectLocalized masses
dc.titleInverse boundary problems for intermediate springs on a rod with geometrical symmetry
dc.typeArticle

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