A novel method for damage detection of multi-cracked beam-like structures by analyzing the static deflection is presented. The damage incurred produces a change in the stiffness of the beam. This causes a localized singularity which can be identified by a wavelet analysis of the displacement response. The existence and location of the cracks can be revealed by positions of the peaks in the continuous wavelet transform (CWT). To achieve this, the static profile of beams is analyzed with Gauss2 wavelet to identify the cracks. Beams under some ideal boundary and prescribed load conditions are considered. The deflected shape of the beam with open and fatigue cracks has been simulated under static loading using lumped crack models adopted from fracture mechanics and involving various degrees of complexity. The deflection of cracked beam in closed form for several cases of loads, crack sizes, and crack locations is calculated, and an explicit expression for the damage index (DI), based on CWT, is developed; it is demonstrated that the proposed damage index does not depend on mechanical properties of a homogeneous beam, and that the DI of one crack does not depend on the size and location of other cracks in a multiple cracked beam. Hence, the obtained expression for the DI can be used to find the size of each crack independently. Numerical results show that the method can detect cracks of small depth and is also applicable under the presence of measurement noise.

Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals / Andreaus, Ugo; Casini, Paolo. - In: CONTINUUM MECHANICS AND THERMODYNAMICS. - ISSN 0935-1175. - STAMPA. - 28:1-2(2016), pp. 361-378. [10.1007/s00161-015-0435-4]

Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals

ANDREAUS, Ugo
;
CASINI, Paolo
2016

Abstract

A novel method for damage detection of multi-cracked beam-like structures by analyzing the static deflection is presented. The damage incurred produces a change in the stiffness of the beam. This causes a localized singularity which can be identified by a wavelet analysis of the displacement response. The existence and location of the cracks can be revealed by positions of the peaks in the continuous wavelet transform (CWT). To achieve this, the static profile of beams is analyzed with Gauss2 wavelet to identify the cracks. Beams under some ideal boundary and prescribed load conditions are considered. The deflected shape of the beam with open and fatigue cracks has been simulated under static loading using lumped crack models adopted from fracture mechanics and involving various degrees of complexity. The deflection of cracked beam in closed form for several cases of loads, crack sizes, and crack locations is calculated, and an explicit expression for the damage index (DI), based on CWT, is developed; it is demonstrated that the proposed damage index does not depend on mechanical properties of a homogeneous beam, and that the DI of one crack does not depend on the size and location of other cracks in a multiple cracked beam. Hence, the obtained expression for the DI can be used to find the size of each crack independently. Numerical results show that the method can detect cracks of small depth and is also applicable under the presence of measurement noise.
2016
Beam-like structures; Damage identification; Multiple cracks; Open and fatigue cracks; Static deflection; Wavelet transform; Mechanics of Materials; Materials Science (all); Physics and Astronomy (all)
01 Pubblicazione su rivista::01a Articolo in rivista
Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals / Andreaus, Ugo; Casini, Paolo. - In: CONTINUUM MECHANICS AND THERMODYNAMICS. - ISSN 0935-1175. - STAMPA. - 28:1-2(2016), pp. 361-378. [10.1007/s00161-015-0435-4]
File allegati a questo prodotto
File Dimensione Formato  
Andreaus_IdentificationOfMultiple_2016.pdf

solo gestori archivio

Note: https://link.springer.com/article/10.1007%2Fs00161-015-0435-4
Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.6 MB
Formato Adobe PDF
1.6 MB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/865879
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 45
  • ???jsp.display-item.citation.isi??? 39
social impact