Abstract
A beam with a cross section in the form of a hollow rectangular box is considered. A method for calculation of the dimensions of a cavity in a beam by two natural bending frequencies that are taken from different spectra is proposed. These are the spectra of vibrations in two mutually perpendicular planes that are chosen in such a way that the neutral axis of the cross section is parallel to the sides in both cases. The dependence of the natural frequency on the cavity’s parameters is studied. It is proven that the frequency values of the beam under investigation and of an identical beam with a solid cross section do not coincide at any size of the cavity and the natural frequency values of the former beam are always higher than those of the latter one.
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