Daulet B. Nurakhmetov, Serik A. Jumabayev, Almir A. Aniyarov
Abstract:
In 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.
Submitted November 24, 2016. Published January 30, 2017.
Math Subject Classifications: 35R30, 47A75.
Key Words: Natural frequencies; rod; localized masses.
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Daulet B. Nurakhmetov Department of Information Systems S. Seifullin Kazakh agrotechnical university Astana 010011, Al-Farabi Kazakh nationaluniversity Almaty 050040, Kazakhstan email: dauletkaznu@gmail.com |
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Serik A. Jumabayev Department of Economic Management Academy of administration under the President of the Republic of Kazakhstan Astana 010011, Kazakhstan email: ser_jum@inbox.ru |
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Almir A. Aniyarov Department of Information Systems S. Seifullin Kazakh agrotechnical university Astana 010011, Kazakhstan email: aniyarov.a@gmail.com |
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