Damage Diagnostics in a Vertical Rod with Concentrated Masses on the Elastic Suspender

Investigations have been performed to identify natural frequencies of longitudinal vibrations in a notched vertical rod with concentrated masses on the elastic suspender. It has been obtained that dependencies of the rod’s circular longitudinal vibration frequencies on the notch coordinate have a periodic pattern. If the notch is located in the nodal point, the circular frequency of natural vibrations does not depend on the notch length. As shown, an increase in the mass of the lower load results in decreasing natural circular frequencies of the rod’s longitudinal vibrations. The research into the problem shows that it is possible to determine the coordinate and dimensions of a transverse notch in the vertical rod using three frequencies of free longitudinal vibrations.