Abstract
The transverse axisymmetric vibrations of an elastic stepped cylindrical shell with stable cracks in the inside corner of the steps are studied. The effect of the cracks on the vibrations of the shell is evaluated considering local flexibility and the compliance function, which is related to the stress intensity factor of linear fracture mechanics. A matrix solution for an arbitrary number of cracks is found. The effect of the location and length of cracks on the transverse axisymmetric vibrations of elastic one- and two-step cylindrical shells is evaluated numerically.
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