Structural Damage Detection of the Simple Beam Based on Responses Phase Space

Cheng, Cheng; Nie, Zhen Hua; Ma, Hongwei

doi:10.4028/www.scientific.net/amr.605-607.989

Cited by 3 publications

(3 citation statements)

References 11 publications

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“…Phase diagram analysis has gained attention for its ability to capture nonlinear dynamic characteristics associated with closed cracks. Numerous studies [ 26 , 27 , 28 , 29 ] have demonstrated the effectiveness of phase diagrams in capturing nonlinear dynamic characteristics associated with closed cracks. A careful analysis of the geometric features of the phase diagram provides valuable insights into the location and severity of closed cracks in different structures.…”

Section: Introductionmentioning

confidence: 99%

Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation

Tewelde,

Krawczuk

2023

Sensors

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The non-linear contact model was chosen to simulate a closed crack in a cantilever beam. This study examines the shape and characteristics of the phase diagram of a cantilever beam with closed cracks. It investigates how various crack properties influence the geometry of the phase diagram and proposes a method for identifying cracks based on their features. The area of each closed curve in the phase diagram was determined using the pixel method. Based on the results, the contact model proved effective in simulating closed cracks and was sensitive to nonlinear closing cracks. The vibration responses of beams with different damage severities and positions exhibited distinct geometric features. The crack parameter was identified by locating the intersection of contour lines on the maps. According to numerical calculations, the phase diagrams for super-harmonic resonance seem to be more susceptible to changes in closed cracks with varied damage locations and severities. The wavelet transform was also employed to identify closed cracks using RMS signals, and the results were compared with those obtained from the phase diagram.

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Section: Introductionmentioning

confidence: 99%

Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation

Tewelde,

Krawczuk

2023

Sensors

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“…The harmonic response is currently the most widely used nonlinear index [26,27], and other characteristics such as bifurcation and nonlinear strength [28,29] were also developed. The orbits in phase diagrams are sensitive to the change in mechanical properties of structures and are usually used to qualitatively analyze cracks [30][31][32], as they contain displacement and velocity information and show strongly nonlinear dynamic characteristics. Recently, phase diagrams have also been employed to quantitatively determine crack parameters.…”

Section: Introductionmentioning

confidence: 99%

Study on Crack Identification with Responses Modulated by Nonlinear Energy Sink

2022

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Owing to its vibration reduction and indirect signal amplification characteristics, a nonlinear energy sink (NES) is used for crack identification of structures. The equation of a cracked simply supported beam with an NES is derived and the influences of the crack properties on the dynamics of the system are investigated. A pixel method is applied to estimate phase diagram areas and crack parameters are identified based on the geometric features of the phase diagram. It is shown that the phase diagram of the NES varies significantly with crack parameters. This is because of the higher amplitudes generated by the absorbing NES with respect to the primary structure. In addition, the NES can reduce the amplitude of the cracked beam without hindering crack identification. Moreover, through introducing the NES, the system can produce a strongly modulated response, which can be utilized for convenient crack detection. Two sets of crack identification indices are defined for the system, generating a single-period response and a strongly modulated response. Contour maps of identification indices based on the area of phase diagrams are obtained by varying crack location and depth. The crack parameters are identified through the intersection of contour lines.

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“…It was shown that the proposed index is a good candidate for online health monitoring of a structure as it is sensitive to damage with less noise sensitiveness. Cheng et al 33 proposed a damage index based on the reconstructed phase space to diagnose the existence and degree of structural damage and demonstrated on a simple beam model. A damage detection approach for bridge structures under moving loads was presented by Zhang et al 34 utilising the changes in trajectory of the phase plane for multi-vibration measurements.…”

Section: Introductionmentioning

confidence: 99%

Dynamic nonlinearities for identification of the breathing crack type damage in reinforced concrete bridges

Srinivas

Sasmal

2020

Structural Health Monitoring

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Reinforced concrete structures experience nonlinear vibration response because of softening in concrete due to damage, which results in unstable vibration. Thus, considering the nonlinearity in vibration for assessment of damage is imperative to identify the actual damage scenario. Nonlinearity is predominant during the initial stage of damage when cracks start developing in the concrete exhibiting nonlinear breathing-crack mechanism. By suitably extracting nonlinear features from ambient/forced vibration, information on initial stage of damage (primarily breathing-crack) in large concrete structures can be obtained. In the present study, evaluation of nonlinear dynamic features from an experimental model of a reinforced concrete bridge girder-deck system is investigated. The damage scenarios in the bridge girder is experimentally simulated by monotonically applied static load at different levels. Vibration responses are acquired using the accelerometers positioned at regular intervals, so that the global system behaviour can be assessed. Damage features at various damage levels are evaluated based on the signal statistics, amplitude dependency, harmonics, phase-plane information and so on. The breathing-crack behaviour of the bridge girder during initial damage stages is investigated and the existence of sub- and super-harmonic components in the frequency spectra is distinctly evidenced and their amplitudes are quantified. The change of skewness pattern of the frequency spectra with increasing damage level is also evaluated. A distinct variation in phase space portrait is observed with increase in damage levels. It is found that, in spite of presence of inherent material nonlinearity, nonlinearity caused through system damage, even at initial stages of damage, is predominant and could be distinctly captured without any baseline information. The identified nonlinear vibration characteristics showed a remarkable relevance in detecting breathing-crack type damage in weakly nonlinear bridge. The investigated damage features from this study would pave the way for real-time baseline free assessment and identification of damage in concrete structures.

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Structural Damage Detection of the Simple Beam Based on Responses Phase Space

Cited by 3 publications

References 11 publications

Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation

Detection of Closing Cracks in Beams Based on Responses Induced by Harmonic Excitation

Study on Crack Identification with Responses Modulated by Nonlinear Energy Sink

Dynamic nonlinearities for identification of the breathing crack type damage in reinforced concrete bridges

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