The behavior of natural frequencies of a beam with a cavity (corrosion beam) and a continuous (defect-less) beam is studied in the paper. It is revealed that at certain position of a cavity in a beam, natural frequencies of flexural vibrations of a beam with a cavity coincide with the natural frequencies of vibrations of a continuous beam. Dependence of natural frequencies on values of the parameter characterizing position of a cavity is shown. It is proved that one spectrum of flexural vibrations is not enough for identification of a position and the sizes of a cavity. For cavity identification two spectra of flexural vibrations (around different axes) is suggested to use.
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