This article develops a finite element model in order to study the vibrational behavior of a beam with a nonpropagating edge crack. According to this model, the beam is discretized into finite elements while the breathing crack behavior is treated as a full frictional contact problem between the crack surfaces. The nonlinear dynamic equations of this model are solved using an incremental iterative procedure. The derived response is analyzed using either Fourier or wavelet transforms in order to determine the breathing crack effects. This study is applied to a cantilever beam subjected to dynamic loadings. Parametric studies are conducted to investigate the sensitivity of vibrational behavior to the crack angle, depth, and position. The accuracy of the results is validated through comparisons with results available from the literature.

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This paper studies the vibrational behaviour of a rotating disk with a radially or circumferentially oriented crack. The disk rotates with a constant angular speed. To treat this problem, the finite element method is employed. The disk is discretised into finite elements, and the crack is considered as nonpropagating and always open. The solutions to this problem's governing equations yield the natural frequencies and mode shapes. The frequency response due to dynamic loading is also yielded to determine the crack's effect on the frequency domain. For both crack orientations, parametric studies are conducted to investigate the sensitivity of the vibrational behaviour to the disk's angular speed and radial crack length or circumferential crack angle and distance from the disk's centre. The accuracy of the results is validated through comparisons with results available from the literature.