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

• Main Authors: Daulet B. Nurakhmetov, Serik A. Jumabayev, Almir A. Aniyarov
• Format: Article
• Language: English
• Published: Texas State University 2017-01-01
• Series: Electronic Journal of Differential Equations
• Subjects: Natural frequencies; rod; localized masses
• Online Access: http://ejde.math.txstate.edu/Volumes/2017/33/abstr.html

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.