Abstract

The paper discusses natural flexural vibrations of a step-up rod with distributed attached mass. It is shown that an increase in the step coordinate results in rising natural frequencies of the vibrations in the range of parameters under consideration. It is revealed that as the ratio of polar moments of inertia in the steps grows, the lowest two frequencies of natural flexural vibrations in the rod tend to decrease. Also, the lowest frequencies of natural flexural vibrations in the rod decrease with growing intensity of the distributed attached mass. The solution to the inverse problem makes it possible to define the step coordinate, the ratio of polar moments of inertia in the steps and the intensity of the distributed attached mass using the lowest three frequencies of free flexural vibrations in the step-up rod.