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FRACTAL DIMENSION ANALYSIS FOR ASSESSING THE HEALTH CONDITION OF A TRUSS STRUCTURE USING VIBRATION SIGNALS

División de Investigación y Posgrado de la Facultad de Ingeniería (DIPFI), Universidad Autónoma de Querétaro, Cerro de las Campanas S/N Las Campanas 76010, Querétaro, México

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JOSE M. MACHORRO-LOPEZ

Cátedras CONACYT - Instituto Mexicano del Transporte, Km. 12 Carretera Estatal No. 431 “El Colorado-Galindo” San Fandila, 76703, Pedro Escobedo, Querétaro, México

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JUAN P. AMEZQUITA-SANCHEZ

https://orcid.org/0000-0002-9559-0220

ENAP-RG, Departamento de Ingeniería Electromecánica, Facultad de Ingeniería Universidad Autónoma de Querétaro, Rio Moctezuma 249 San Cayetano, 76807, San Juan del Rio, Querétaro, México

E-mail Address: jamezquita@uaq.mx

Corresponding author.

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CARLOS A. PEREZ-RAMIREZ

ENAP-RG, Departamento de Ingeniería Biomédica, Facultad de Ingeniería, Universidad Autónoma de Querétaro, Carr. a Chichimequillas S/N, Ejido Bolaños 76140, Querétaro, México

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MARTIN VALTIERRA-RODRIGUEZ

ENAP-RG, Departamento de Ingeniería Electromecánica, Facultad de Ingeniería Universidad Autónoma de Querétaro, Rio Moctezuma 249 San Cayetano, 76807, San Juan del Rio, Querétaro, México

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, and

AURELIO DOMINGUEZ-GONZALEZ

División de Investigación y Posgrado de la Facultad de Ingeniería (DIPFI), Universidad Autónoma de Querétaro, Cerro de las Campanas S/N Las Campanas 76010, Querétaro, México

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https://doi.org/10.1142/S0218348X20501273Cited by:5 (Source: Crossref)

Abstract

During the last years, civil infrastructure has experienced an increasing development to satisfy the society’s demands such as communication, transportation, work and living spaces, among others. In this sense, the development and application of methods to guarantee the structure optimal operation, known as Structural Health Monitoring schemes, are necessary in order to avoid economic and human losses. Modern schemes employ the structure vibration response as any damage will modify the structure physical properties, which will be reflected in the vibration response. Thus, by measuring the waveform changes of the response, the structure condition can be determined. Considering this fact, this paper investigates the effectiveness of Katz fractal dimension, Higuchi fractal dimension, Box fractal dimension, Petrosian fractal dimension, and Sevcik fractal dimension which are nonlinear measurements to extract features of vibration signals in order to determine the health condition of a 3D 9-bay truss-type bridge. The obtained results show that the algorithms corresponding to Higuchi and Petrosian fractal dimension algorithms exceed the other nonlinear measurements in efficiency to discriminate between a healthy structure and a damage produced by corrosion.

Keywords:

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