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Gdańsk University of Technology

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Detection of Closing Crack in Beam Based on Responses Induced by Harmonic Excitation

The non-linear contact model was chosen to simulate the closed crack in the cantilever beam. The study examines the shape and characteristics of the phase diagram of a cantilever beam with closed cracks. It investigates how various crack properties influence the geometry of the phase diagram and proposes a method for identifying cracks based on their features. The area of each closed curve in the phase diagram is determined using the pixel method. Based on the results, the contact model proves effective in simulating closed cracks and is sensitive to nonlinear closing cracks. The vibration responses of beams with different damage severity and positions exhibit distinct geometric features. The crack parameter is identified by locating the intersection of contour lines on the maps. According to numerical calculations, the phase diagrams for superharmonic resonance seem to be more susceptible to changes in closed cracks with varied damage locations and severity. The wavelet transform is also employed to identify closed cracks using RMS signals, and the results are compared with those obtained from the phase diagram.

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