INVERSE BOUNDARY PROBLEMS FOR INTERMEDIATE SPRINGS ON A ROD WITH GEOMETRICAL SYMMETRY

Abstract

In this article we try to solve the inverse problem of determining the coe cients of sti ness of the intermediates on the springs on the rod from the two known natural frequencies. We nd su cient conditions for the exis- tence of a unique solution to the inverse problem of determining the sti ness 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 coe cients of sti ness of the springs played an essential role in the geometric symmetry of the arrangement of the spring relative to the rod center.