Damage Detection in Beams Using Frequency Response Function Curvatures Near Resonating Frequencies

Mondal, Subhajit; Mondal, Bidyut; Bhutia, Anila; Chakraborty, Sushanta

doi:10.1007/978-81-322-2193-7_119

Cited by 11 publications

(6 citation statements)

References 14 publications

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“…Damage will only cause subtle shifts in the FRFs, which may go undetected until in-depth analysis of the signals. The FRF curvature, however, will magnify these slight differences [12]. Critically, FRF curvature exhibits heightened sensitivity to changes in the FRF.…”

Section: Introductionmentioning

confidence: 97%

Model Updating for Damage Identification: Leveraging Response Surface Methodology and Frequency Response Function Curvature

Nur Raihana Sukri,

Nurulakmar Abu Husain,

Syarifah Zyurina Nordin

et al. 2024

ARAM

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The limitations of the classical finite element (FE) model updating-based damage identification method, described as having convergence problems and a high computing cost, served as a catalyst for this investigation. Unlike traditional FE models, response surface methodology (RSM) employs explicit mathematical functions to describe the input-response relationship, offering a clear and concise representation. However, the current application of RSM is restricted to a few responses and updating parameters, and unresolved issues persist, including symmetrical damage location and false damage detection. In this study, a new RSM approach is introduced, using FRF curvature as the response. The effectiveness of the proposed method is demonstrated through an experimental modal analysis of a free-free aluminium beam, employing four different Design of Experiment (DOE) techniques: a minimum-run resolution V (CCDmrv) design and a half-fractional (CCDhalf) design using Central Composite Design (CCD), Box-Behnken design (BBD), and D-optimal design. The research systematically evaluates and compares the performance of these DOE techniques in identifying damage. Overall, the results highlight the success of the RSM method, particularly CCDhalf, D-optimal and BBD, in effectively identifying damage.

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Section: Introductionmentioning

confidence: 97%

Model Updating for Damage Identification: Leveraging Response Surface Methodology and Frequency Response Function Curvature

Nur Raihana Sukri,

Nurulakmar Abu Husain,

Syarifah Zyurina Nordin

et al. 2024

ARAM

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“…Mondal et. al [13] have investigated damage detection using FRFs at frequencies other than the natural frequencies. A limited literature is available for the damage sensitive dynamic response of reinforced concrete structures, especially FRF's involving real experiments.…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation on Damage Sensitive Dynamic Responses of a Reinforced Concrete Beam

Dimri

Chakraborty

2022

ASPS Conf. Proc.

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Reinforced concrete structures are subjected to damage due to environmental loading and operational conditions. Early detection of damages in reinforced concrete structures is very important. However, this becomes difficult because failure at the micro level in the form of minute cracks, develops much earlier than the visual appearance of actual damages resulting out of coalesce of several such micro level damages. Vibration based damage detection techniques, particularly use of modal testing by exciting a structure dynamically and measuring resulting responses is well established in current practice. Still, real experimental investigation involving a full scale reinforced concrete structure is somewhat rare in current literature. In the present investigation, dynamic responses of a 3.3-metre long reinforced concrete beam were measured experimentally before and after damage. Damage in the form of flexural cracks was inflicted by applying quasi-static load using a universal testing machine of capacity 300 kN under the four-point bending configuration. Broadband roving impact excitation was imparted through an impact hammer and the resulting responses were picked up by a single accelerometer. The time signals of both the force and acceleration responses were Fourier transformed using a spectrum analyser to determine the frequency response functions. The modal parameters e.g. frequencies, mode shapes, modal damping factors are found out through curve fitting. The frequency response function at a particular point has also been investigated for all the load increments and gradual changes into the dynamic properties are noted. Comparison of modal parameters between the undamaged and damaged state including their curvatures indicates that they are sensitive to the crack locations. On the other hand, the differences in frequency response functions including their curvatures were sensitive to the damage intensity in turn. The current experimental investigation provides great insight into the application of vibration-based damage detection technique to reinforced concrete structures.

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“…There are many different types of dynamic methods available in the literature. These methods include but not limited to the following: using incomplete modal data by Bayesian approach and model reduction technique [ 5 ], a mode shape component-specific damage index [ 6 ], plots of variation of model parameters [ 7 ], frequency-based method versus mode-shape-based method [ 8 ], modal strain energy change method [ 9 ], the frequency-response function (FRF) curvature method [ 10 ], and other methods using vibration-based structural damage detection [ 11 ].…”

Section: Introductionmentioning

confidence: 99%

A Step-by-Step Damage Identification Method Based on Frequency Response Function and Cross Signature Assurance Criterion

Zhan

Zhang

Siahkouhi

2021

Sensors

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This paper aims to present a method for quantitative damage identification of a simply supported beam, which integrates the frequency response function (FRF) and model updating. The objective function is established using the cross-signature assurance criterion (CSAC) indices of the FRFs between the measurement points and the natural frequency. The CSAC index in the frequency range between the first two frequencies is found to be sensitive to damage. The proposed identification procedure is tried to identify the single and multiple damages. To verify the effectiveness of the method, numerical simulation and laboratory testing were conducted on some model steel beams with simulated damage by cross-cut sections, and the identification results were compared with the real ones. The analysis results show that the proposed damage evaluation method is insensitive to the systematic test errors and is able to locate and quantify the damage within the beam structures step by step.

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Damage Detection in Beams Using Frequency Response Function Curvatures Near Resonating Frequencies

Cited by 11 publications

References 14 publications

Model Updating for Damage Identification: Leveraging Response Surface Methodology and Frequency Response Function Curvature

Model Updating for Damage Identification: Leveraging Response Surface Methodology and Frequency Response Function Curvature

Experimental Investigation on Damage Sensitive Dynamic Responses of a Reinforced Concrete Beam

A Step-by-Step Damage Identification Method Based on Frequency Response Function and Cross Signature Assurance Criterion

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