Inverse boundary problems for intermediate springs on a rod with geometrical symmetry
Date
2017-01-30
Authors
Nurakhmetov, Daulet B.
Jumabayev, Serik A.
Aniyarov, Almir A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Natural frequencies, Rod, Localized masses
Citation
Nurakhmetov, 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.
Rights
Attribution 4.0 International