Abstract

The natural frequencies of bending vibrations of a prismatic beam with symmetrical bilateral longitudinal incisions are considered. A method is proposed that makes it possible to calculate the parameters of the incisions with by two frequencies taken from different spectra. These spectra belong to bending vibrations in two mutually perpendicular planes, which are chosen in such a way that in both cases the neutral cross-section line is parallel to the sides. The dependence of the natural frequency on the depth of the defect is also studied. It is proved that the values of the frequencies for the beam under consideration and the identical beam without cuts do not coincide for any value of the defects.