Dynamic analysis of a cracked bar by the method of characteristics

Ayas, Hillal; Chabaat, Mohamed; Amara, Lyes

doi:10.1108/ijsi-01-2018-0001

Cited by 2 publications

(2 citation statements)

References 21 publications

(18 reference statements)

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“…Atha and Jahanshahi (2018) also proposed DL-based approach for corrosion detection in steel structural members. Nevertheless, most of the vibration-based approaches are confined to damage detection and localization phases (Salehi and Azami, 2019; Ayas and Chabaat, 2019; Paral et al , 2019). Also, majority of the vibration-based investigations are confined to simulated damages on steel structures.…”

Section: Introductionmentioning

confidence: 99%

Corrosion-induced degradation assessment of steel beam using vibration-based scheme

Paral

Samanta

Shandilya

2021

IJSI

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PurposeCatastrophe of steel-structured bridges due to progressive localized corrosion may lead to a major loss in terms of life and cost if not monitored continuously or periodically. The purpose of this paper is to present a vibration-based strategy to assess the severity and monitor the deterioration caused by corrosion-induced localized damage in a simply-supported steel beam.Design/methodology/approachThe threshold damage level is defined up to the yield limit of a simply supported steel beam of size ISMB 150 × 8 × 5 under three-point bending test and the progressive damage is induced through a continuous accelerated corrosion test. Change in the fundamental natural frequency due to localized damage in the experimental beam and the modulus of elasticity (E) in the corroded zone of an updated finite element (FE) model is evaluated.FindingsThe updated FE model of the damaged beam shows a clear trend with the progressive damage of the beam and, hence, can be used to monitor the severity of damage and remaining capacity assessment of the monitored beam.Originality/valueSteel-structured bridges are prone to localized corrosion attack, and there are no standardized process or predictive model available by international steel design codes on how to consider corrosion damage in the condition assessment analysis. The vibration-based methods have gained popularity for condition assessment, and are mostly confined to damage assessment of corroded reinforced concrete (RC) beams. In this work, a vibration-based approach is presented for degradation assessment of steel beam due to progressive localized corrosion using modal hammer test.

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Section: Introductionmentioning

confidence: 99%

Corrosion-induced degradation assessment of steel beam using vibration-based scheme

Paral

Samanta

Shandilya

2021

IJSI

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“…Natural frequencies are obtained by solving the differential equation of motion. Recently, Ayas et al (2019) analyzed a cantilever bar having a transverse crack under longitudinal vibration. The crack is modeled by an elastic translational spring.…”

Section: Introductionmentioning

confidence: 99%

Approximate analytical analysis of longitudinal natural frequencies of a cracked beam

Ayas

Amara

Chabaat³

2020

IJSI

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PurposeIn this paper, an approximate analytical approach is developed for the determination of natural longitudinal frequencies of a cantilever-cracked beam based on the Lagrange inversion theorem.Design/methodology/approachThe crack is modeled by an equivalent axial spring with stiffness according to Castigliano's theorem. Thus, an implicit frequency equation corresponding to cantilever-cracked bar is obtained. The resulting equation is solved using the Lagrange inversion theorem.Findingseffect of different crack depths and crack positions on natural frequencies of the cracked beam is analyzed. It is shown that an increase in the crack depth ratio produces a decrease in the fundamental longitudinal natural frequency of a cracked bar. Furthermore, approximate analytical results are compared with those obtained numerically as well as from experimental tests.Originality/valueA new approximate analytical expression of a fundamental longitudinal frequency, as a function of crack depth and crack location, is obtained.

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Dynamic analysis of a cracked bar by the method of characteristics

Cited by 2 publications

References 21 publications

Corrosion-induced degradation assessment of steel beam using vibration-based scheme

Corrosion-induced degradation assessment of steel beam using vibration-based scheme

Approximate analytical analysis of longitudinal natural frequencies of a cracked beam

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