Vibrations of stepped cylindrical shells with cracks
Jaan Lellep, Larissa Roots
Abstract
Jaan Lellep, Larissa Roots
Abstract
Assuming that the deformations are axisymmetric the vibrations of stepped cylindrical shells are studied. Simple tool for the vibration analysis of shells accounting for the influence of cracks is presented. The changes of flexibility of the shell near cracks are prescribed by means of the compliance coupled with the stress intensity factor defined in the linear elastic fracture mechanics. The shell wall has an arbitrary number of steps and circular cracks of constant depth.
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Assuming that the deformations are axisymmetric the vibrations of stepped cylindrical shells are studied. Simple tool for the vibration analysis of shells accounting for the influence of cracks is presented. The changes of flexibility of the shell near cracks are prescribed by means of the compliance coupled with the stress intensity factor defined in the linear elastic fracture mechanics. The shell wall has an arbitrary number of steps and circular cracks of constant depth.
Key concepts: Shell (structure), Rotational symmetry, Vibration, Stress intensity factor, Mechanics, Structural engineering, Materials science, Fracture (geology)