Modal parameter identification and vibration based damage detection of a multiple cracked cantilever beam

Altunışık, Ahmet Can; Okur, Fatih Yesevi; Kahya, Volkan

doi:10.1016/j.engfailanal.2017.04.026

Cited by 77 publications

(24 citation statements)

References 16 publications

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“…Finite element method was applied to refine the mesh size at the crack region to converge the natural frequencies of the cracked beam to be more accurate. Altunışık et al [11] carried out theoretical and experimental modal analysis for various cases of cracked beam with single, double and triple cracks at different locations and sizes. All these scenarios are compared for the amount of deviations in the natural frequencies.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Reduced Stiffness under the Influence of Crack in a Beam

Prasad,

Manoj,

Babu*

et al. 2019

IJITEE

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Machine components with cantilever boundary conditions are most prominently used in mechanical engineering applications. When such components are subjected to fatigue loading, crack may get initiated and failure may occur. In order to prevent catastrophic failure and safe guard these components one has to condition monitor the dynamic behavior under fatigue loading condition. Vibration based condition monitoring is one of the most effective method to assess the fatigue failure of the component. In this paper, a cantilever beam is analyzed for its dynamic behaviour under the influence of crack. The cantilever beam considered for the analysis is of rectangular cross section and is uniform throughout its length. The characteristic equation was derived for the Euler-Bernoulli cantilever beam to obtain the relationship between the location of the crack and stiffness of the beam because the stiffness of the beam influences the natural frequency. It is found that the stiffness of the cantilever beam is varying for varying locations of the crack in different modes of vibration. It is clearly understood from the analysis that the vibration response of the cracked cantilever beam in its modes of vibration is affected by the corresponding stiffness reduction based upon the location of the crack. So, it can be inferred that the natural frequency of the cracked cantilever beam may have different values for different locations of the crack.

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Section: Introductionmentioning

confidence: 99%

Estimation of Reduced Stiffness under the Influence of Crack in a Beam

Prasad,

Manoj,

Babu*

et al. 2019

IJITEE

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show abstract

“…Hou and Lu proposed a way to identify the crack damage in beams by using a cracked beam element model, which is derived from the local flexibility model and fracture mechanic principle [13]. Altunışık et al carried out a detailed analysis on the modal parameter identification and the vibration response-based crack identification of a cantilever beam with hollow circular cross section having multiple cracks [14]. According to the crack identification problem of a hollow circular cross-sectional cantilever beam, they solved the problem by the transfer matrix method analytically and the finite element method numerically [15].…”

Section: Introductionmentioning

confidence: 99%

Prediction on Remaining Life of a V‐Notched Beam by Measured Modal Frequency

Liu

Barkey

2019

Shock and Vibration

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A prediction method for the remaining life of a V-notched beam using measured modal frequencies is proposed in this article. The main purpose is to provide a new monitoring method of crack growth for a cantilever beam. At first, the fatigue crack growth characteristic and the change law of modal frequencies of a V-notched cantilever beam under cyclic loading were studied by experiments. Subsequently, the relation of modal frequencies and crack growth were analyzed. Thereafter, the decrease ratio of the first modal frequency was employed to reflect the crack damage so as to set up the relation of the modal frequency and the crack damage, and the evolution model between the crack damage and the cyclic loading numbers were set up. A prediction method for crack growth life was proposed for a cantilever beam based on the decrease ratio of the first modal frequency in the end. The remaining life of a V-notched cantilever beam can be obtained using the proposed method with a given endured loading cycles and the corresponding measured modal frequency. Results indicate that the remaining fatigue life of the V-notched cantilever beam is related to the decrease ratio of the modal frequency, and the predicted remaining life is in good agreement with the measured remaining life as the crack depth extends to a certain value.

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“…The stiffness loss reduces the capacity of a structure to store energy, and it directly depends on the position [1][2][3][4], respectively on the shape and depth of the crack [5][6][7][8]. The theory was also developed for changing environment [9][10][11], variable beam cross-section [12] and multiple cracks [13,14].…”

Section: Introductionmentioning

confidence: 99%

Numerical study on complex shaped cracks in cantilever beams concerning frequency and stiffness changes

Tufiși¹,

Gillich²,

Nedelcu³

et al. 2018

Vib. proced.

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The paper presents a mathematical relation to express the effects of a T-shaped crack on beam-like structures. The study is performed by using the finite element method (FEM) and contrived analytical formulas for proving the existing correlation between deflection, strain energy, and natural frequency changes. The damaged beam static and dynamic behaviors are analyzed by means of the FEM. The frequency shift for the first mode of vibration derived directly was compared with the frequency alteration calculated involving the change in the beam deflection for several scenarios of the T-shaped crack. The frequency shift is derived using the relations between deflection and natural frequency. As the final step in the research, we compared the outcomes for the same crack with the results achieved from a beam suffering a loss of stiffness.

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Modal parameter identification and vibration based damage detection of a multiple cracked cantilever beam

Cited by 77 publications

References 16 publications

Estimation of Reduced Stiffness under the Influence of Crack in a Beam

Estimation of Reduced Stiffness under the Influence of Crack in a Beam

Prediction on Remaining Life of a V‐Notched Beam by Measured Modal Frequency

Numerical study on complex shaped cracks in cantilever beams concerning frequency and stiffness changes

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