Identification of two cracks in a rod by minimal resonant and antiresonant frequency data

Rubio, Lourdes; Fernández-Sáez, J.; Morassi, Antonino

doi:10.1016/j.ymssp.2015.01.025

Cited by 22 publications

(13 citation statements)

References 38 publications

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“…In [13] it was shown that this aspect also prejudices the reliability in assessment of the damage severity (see Table 3 in [13]). Analogous indeterminacy was recently encountered in identifying multiple small cracks in a longitudinally vibrating beam by frequency measurements [18]. Near a zero-sensitivity point, the first-order effect of the damage on the frequencies vanishes.…”

mentioning

confidence: 54%

“…Working on a linearized version of the frequency equation, Narkis obtained a closed-form solution for the crack location s. Using relation (1), Morassi [13] extended Narkis's result to rods with single small crack under different sets of end conditions and for different pairs of natural frequencies, providing closed-form expressions also for the damage severity K. Later on, Dilena and Morassi [14] proved that the measurement of the first natural frequency and the first antiresonance of the driving point frequency response function evaluated at one end of a free-free uniform rod allows us to uniquely determine the position of the crack and its severity, by means of closed-form expressions. Extensions to cracked rods with dissipation [15], cracked pipes [16] and multi-cracked rods and beams [17,18] are also available.…”

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confidence: 99%

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The full nonlinear crack detection problem in uniform vibrating rods

Rubio

Fernández-Sáez

Morassi

2015

Journal of Sound and Vibration

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confidence: 54%

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confidence: 99%

The full nonlinear crack detection problem in uniform vibrating rods

Rubio

Fernández-Sáez

Morassi

2015

Journal of Sound and Vibration

Self Cite

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“…And the modal parameter‐based methods are based on the change of modal parameters or their derivatives to realize crack identification. Rubio et al used changes in resonant and anti‐resonant frequencies to detect crack locations in a two‐cracked torsional shaft. Rahman et al utilized the changes in phase angle of frequency response function to identify the location and depth of an open crack in a rotor.…”

Section: Introductionmentioning

confidence: 99%

Localization of breathing cracks in stepped rotors using super‐harmonic characteristic deflection shapes based on singular value decomposition in frequency domain

Dong

Ouyang

et al. 2017

Fatigue Fract Eng Mat Struct

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An output‐only multiple‐crack localization method is proposed in this paper to detect and localize breathing cracks in a stepped rotor, which utilizes the crack‐induced local shape distortions in super‐harmonic characteristic deflection shapes (SCDSs). To minimize the noise effects on SCDSs and improve the accuracy of SCDS‐based crack localization, singular value decomposition is adopted to estimate the SCDS as the dominant singular vector of output power spectral density matrix at a super‐harmonic frequency. Then, in order to better reveal shape distortions in the SCDSs, an after‐treatment technique called gapped smoothing method is applied to derive a damage index. Numerical experiments are carried out to investigate the performance of the proposed method based on a two‐disc stepped rotor‐bearing system with breathing cracks established by the finite element method. Results show that the method is effective for single and multiple crack localization in stepped rotors and interference of steps can be excluded. Furthermore, the method is robust to noise. Influences of crack depths and rotating speeds are also investigated, and how to choose the rotating speed for better crack localization is discussed.

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“…Narkis, 1994; Lee and Chung, 2000;Morassi, 2001;Swamidas et al, 2004;and Rubio et al, 2015a) and multiple-crack (e.g. Ruotolo and Surace, 1997;Sinha et al, 2002;and Rubio, et al 2015b) scenarios.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of Crack Identification in Thick Beams with a Cracked Beam Element Model

Hou

2017

J. Eng. Mech.

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Model-based crack identification in beam-like structures has been a classic problem. The authors have recently developed a framework to identify crack damage in beams based on a cracked beam element model, which stems from the local flexibility and fracture mechanics principles. This paper presents an experimental study on the cracked beam element model for crack damage identification in a physical testing environment. Five solid beam specimens were prepared with different numbers of cracks, and they were subjected to a modal testing and analysis procedure to extract the natural frequencies and mode shapes. The extracted modal data were then compared with the predicted counterparts using the cracked beam element model to verify the accuracy of the model. The extracted modal data were also employed to inversely identify the cracks with the cracked beam element model through a model updating procedure. Results indicate that all the cracks can be identified correctly with accurate crack depth and location information. To enhance the modal dataset for FE model updating, the so-called 'artificial boundary condition' (ABC) technique has also been applied on the test beams, and the incorporation of such frequencies proves to enhance the identification of cracks from the FE model updating.

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Identification of two cracks in a rod by minimal resonant and antiresonant frequency data

Cited by 22 publications

References 38 publications

The full nonlinear crack detection problem in uniform vibrating rods

The full nonlinear crack detection problem in uniform vibrating rods

Localization of breathing cracks in stepped rotors using super‐harmonic characteristic deflection shapes based on singular value decomposition in frequency domain

Experimental Study of Crack Identification in Thick Beams with a Cracked Beam Element Model

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