Abstract
Free vibrations of an inclined cylindrical shell with a “breathing” crack are analyzed by the authors in view of the results of spectral diagnostics of transverse vibrations of a beam with a closing crack, which were obtained by A. A. Matveev and A. P. Bovsunovskii at the Institute of Problems of Strength of the National Academy of Sciences of Ukraine. Elastic characteristics of the shell are interpreted as a certain bilinear system. Data on the stiffness degradation due to the crack opening can be used for the selection of vibration damage indicators. We have obtained relationships between the relative stiffness degradation, crack depth, and crack location. It is demonstrated that the potential energy of tension of the shell median surface must be taken into account. We have found that the efficiency of detecting damages using vibration diagnostic methods improves with increasing shell thickness.
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