In this work, a model of the Euler–Bernoulli beam in presence of multiple-concentrated open cracks, based on the adoption of a localized flexibility model, is adopted. The closed-form solution in terms of transversal displacements due to static loads and general boundary condition is exploited to propose an inverse damage identification procedure. The proposed identification procedure does not require any solution algorithm, on the contrary is formulated by means of simple explicit sequential expressions for the crack positions and intensities including the identification of the integration constants. The number of possible detected cracks depends on the couples of adopted sensors. Undamaged beam zones can also be easily detected in relation to the sensor positions. The analytical character of the explicit expressions of the identification procedure makes the inverse formulation applicable to damaged beams included in more complex frame structures. The proposed procedure is applied for the identification of the number, position, and intensity of the cracks along simple straight beams and also to more complex frame structures with the aim of showing its simplicity for engineering applications. In addition, the robustness of the methodology here described is shown through an accurate analysis of the basic assumptions on which the theory relies and by means of a study of the effect of noise on the identification results.

A procedure for the identification of multiple cracks on beams and frames by static measurements

Caddemi, S.
Primo
;
Caliò, I.;Cannizzaro, F.;
2018-01-01

Abstract

In this work, a model of the Euler–Bernoulli beam in presence of multiple-concentrated open cracks, based on the adoption of a localized flexibility model, is adopted. The closed-form solution in terms of transversal displacements due to static loads and general boundary condition is exploited to propose an inverse damage identification procedure. The proposed identification procedure does not require any solution algorithm, on the contrary is formulated by means of simple explicit sequential expressions for the crack positions and intensities including the identification of the integration constants. The number of possible detected cracks depends on the couples of adopted sensors. Undamaged beam zones can also be easily detected in relation to the sensor positions. The analytical character of the explicit expressions of the identification procedure makes the inverse formulation applicable to damaged beams included in more complex frame structures. The proposed procedure is applied for the identification of the number, position, and intensity of the cracks along simple straight beams and also to more complex frame structures with the aim of showing its simplicity for engineering applications. In addition, the robustness of the methodology here described is shown through an accurate analysis of the basic assumptions on which the theory relies and by means of a study of the effect of noise on the identification results.
2018
beams; damage identification; frames; inverse problems; multiple cracks; static tests; Civil and Structural Engineering; Building and Construction; Mechanics of Materials
File in questo prodotto:
File Dimensione Formato  
CaddemiCaliòCannizzaroMorassi_SCHM2018.pdf

accesso aperto

Descrizione: Articolo pubblicato
Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 1.77 MB
Formato Adobe PDF
1.77 MB Adobe PDF Visualizza/Apri

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/20.500.11769/335429
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 10
social impact