Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation

The non-linear contact model was chosen to simulate a closed crack in a cantilever beam. This 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 propos...

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Main Authors: Samrawit A. Tewelde, Marek Krawczuk
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/24/1/247
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author Samrawit A. Tewelde
Marek Krawczuk
author_facet Samrawit A. Tewelde
Marek Krawczuk
author_sort Samrawit A. Tewelde
collection DOAJ
description The non-linear contact model was chosen to simulate a closed crack in a cantilever beam. This 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 was determined using the pixel method. Based on the results, the contact model proved effective in simulating closed cracks and was sensitive to nonlinear closing cracks. The vibration responses of beams with different damage severities and positions exhibited distinct geometric features. The crack parameter was identified by locating the intersection of contour lines on the maps. According to numerical calculations, the phase diagrams for super-harmonic resonance seem to be more susceptible to changes in closed cracks with varied damage locations and severities. The wavelet transform was also employed to identify closed cracks using RMS signals, and the results were compared with those obtained from the phase diagram.
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spelling doaj.art-e49cdef83c164f958d0f5d446fa736562024-01-10T15:09:12ZengMDPI AGSensors1424-82202023-12-0124124710.3390/s24010247Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic ExcitationSamrawit A. Tewelde0Marek Krawczuk1Faculty of Mechanical Engineering and Ship Technology, Institute of Mechanics and Machine Design, Gdansk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233 Gdańsk, PolandFaculty of Mechanical Engineering and Ship Technology, Institute of Mechanics and Machine Design, Gdansk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233 Gdańsk, PolandThe non-linear contact model was chosen to simulate a closed crack in a cantilever beam. This 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 was determined using the pixel method. Based on the results, the contact model proved effective in simulating closed cracks and was sensitive to nonlinear closing cracks. The vibration responses of beams with different damage severities and positions exhibited distinct geometric features. The crack parameter was identified by locating the intersection of contour lines on the maps. According to numerical calculations, the phase diagrams for super-harmonic resonance seem to be more susceptible to changes in closed cracks with varied damage locations and severities. The wavelet transform was also employed to identify closed cracks using RMS signals, and the results were compared with those obtained from the phase diagram.https://www.mdpi.com/1424-8220/24/1/247closed crackscantilever beamnonlinear contactharmonic vibrationphase diagramnonlinear characteristics
spellingShingle Samrawit A. Tewelde
Marek Krawczuk
Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation
Sensors
closed cracks
cantilever beam
nonlinear contact
harmonic vibration
phase diagram
nonlinear characteristics
title Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation
title_full Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation
title_fullStr Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation
title_full_unstemmed Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation
title_short Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation
title_sort detection of closing cracks in beams based on responses induced by harmonic excitation
topic closed cracks
cantilever beam
nonlinear contact
harmonic vibration
phase diagram
nonlinear characteristics
url https://www.mdpi.com/1424-8220/24/1/247
work_keys_str_mv AT samrawitatewelde detectionofclosingcracksinbeamsbasedonresponsesinducedbyharmonicexcitation
AT marekkrawczuk detectionofclosingcracksinbeamsbasedonresponsesinducedbyharmonicexcitation