Nonlinear vibration analysis of a cantilever beam with multiple breathing edge cracks

Kharazan, Masoud; Irani, Saied; Noorian, M. A.; Salimi, Mohammad Reza

doi:10.1016/j.ijnonlinmec.2021.103774

Cited by 24 publications

(6 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[35,36] The estimation method is mainly based on the change in the natural frequency, modal shape, or dynamic flexibility. [37] However, the changes in the output electrical signals of the piezo-GFRP attached to cement substrates have not yet been determined. In practice, the strain energy applied to the sensor by the substrate changes owing to the presence of cracks.…”

Section: Cantilever Vibration Resultsmentioning

confidence: 99%

Piezoelectric Glass‐Fiber‐Reinforced Polymer Sensor for Structural Health Monitoring and Stiffness Sensing

Kubota²,

Kurita

et al. 2023

Adv Eng Mater

View full text Add to dashboard Cite

Strengthening and repairing infrastructure with fiber‐reinforced polymers while achieving low‐cost, real‐time monitoring of cracks in engineering structures is highly challenging. Here, a piezoelectric glass‐fiber‐reinforced polymer (piezo‐GFRP) sensor was used to monitor the mechanical behavior of cement beams with cracks under cyclic bending. The output voltage and frequency of the sensor were shown to be effective feedback signals for determining the mechanical behavior. The thin piezo‐GFRP sensor showed sufficient piezoelectric sensitivity to monitor the slight variations in the mechanical behavior of the cement beams during the early stages of cracking. This result indicates that such sensors have the potential for the multi‐functional structural health monitoring of engineering structures.This article is protected by copyright. All rights reserved.

show abstract

Section: Cantilever Vibration Resultsmentioning

confidence: 99%

Piezoelectric Glass‐Fiber‐Reinforced Polymer Sensor for Structural Health Monitoring and Stiffness Sensing

Kubota²,

Kurita

et al. 2023

Adv Eng Mater

View full text Add to dashboard Cite

show abstract

“…The singularity of the concentrated cracks along the beam may impact the structure's continuity and geometric aspects. M. Kharazan et al [80] use Euler-Bernoulli theory to simulate the transverse vibrations of a beam with several breathing cracks.…”

Section: Wave Propagationmentioning

confidence: 99%

Nonlinear Vibration Analysis of Beam and Plate with Closed Crack: A Review

Tewelde

Krawczuk

2022

Acta Mechanica Et Automatica

View full text Add to dashboard Cite

The effect of nonlinearity is high sensitivity in damage detection, especially for closed cracks and delamination. This review illustrates the results of several researchers dealing with nonlinear effects caused by the closure of cracks in the structure, i.e., beam and plate structures. Early detection of damage is an important aspect for the structure and, therefore, continuous progress is being made in developing new and effective methods that use nonlinear effects for early detection of damage and barely visible cracks, i.e., closed cracks and delamination, as well as for the determination of crack size and location. After analysing various methods, the merits, drawbacks and prospects of a number of nonlinear vibration methods for structural damage detection are discussed, and recommendations are made for future researchers.

show abstract

“…While the dynamic behavior of beams with a single breathing crack has received much attention, [3][4][5][6][7][8][9][10][11][12] very limited investigations have been reported on multiple breathing cracks. [13][14][15][16][17][18][19] As the number of breathing cracks present in the beams and their spatial locations is usually not known a priori, detection and localization of multiple breathing cracks are much more challenging. Further, distinct levels of severity in breathing cracks and distinct states of breathing cracks (i.e., while certain cracks are in the closed state, and others are in the open state at any particular time instant) pose additional challenges during localization.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the development of a generalized procedure for the localization of multiple breathing cracks is challenging. [13][14][15][16][17][18][19][20][21][22][23][24][25] Nonlinear multiple breathing cracks detection utilizing direct zeros estimation of higher-order frequency response function was studied by Chomelette. 19 However, the method is less accurate in localizing the crack close to the support (cantilever beam).…”

Section: Introductionmentioning

confidence: 99%

A novel time domain-based multiple breathing crack diagnosis technique using Quadratic-Teager Kaiser Energy (Q-TKE)

Prawin

2023

Structural Health Monitoring

View full text Add to dashboard Cite

This paper presents a generalized time domain-based multiple breathing crack localization technique in beams with an unknown number of cracks based on Quadratic-Teager Kaiser Energy (Q-TKE) using vibration data. Localization of multiple breathing cracks is a highly challenging inverse problem, as all these breathing cracks (more than two) might be in a similar state (either opening or closing state) at any particular time instant or in contrasting states (while some breathing cracks are opening, others are in closing state) during vibration. The level of nonlinearity of vibration response is strongly dependent not only on each crack size and location but also on the application of driving force along the cracked beam. The concept of varied input frequency excitation sources is employed in the present work for multiple breathing crack identification over the tedious traditional approach of varying input force application positions. The major advantage of using Q-TKE in the present work is that it can reliably isolate and extract the very low-amplitude nonlinear sensitive components (superharmonics and intermodulation) being buried in the total response and enhance them in the time domain signal itself. Investigations have been carried out by varying the number, spatial locations, and also intensities of the breathing cracks. Sensitivities associated with measurement noise and also with limited sensors is also investigated. The results of both numerical and experimental investigations carried out in this paper concluded that the proposed Q-TKE can effectively localize closely spaced or sparsely spaced (i.e., spatially far apart) multiple cracks in the beam. The proposed Q-TKE approach is data-driven, works with limited sensors, and does not need reference healthy state measurements.

show abstract

Nonlinear vibration analysis of a cantilever beam with multiple breathing edge cracks

Cited by 24 publications

References 34 publications

Piezoelectric Glass‐Fiber‐Reinforced Polymer Sensor for Structural Health Monitoring and Stiffness Sensing

Piezoelectric Glass‐Fiber‐Reinforced Polymer Sensor for Structural Health Monitoring and Stiffness Sensing

Nonlinear Vibration Analysis of Beam and Plate with Closed Crack: A Review

A novel time domain-based multiple breathing crack diagnosis technique using Quadratic-Teager Kaiser Energy (Q-TKE)

Contact Info

Product

Resources

About