Vibration analysis of beams with open and breathing cracks subjected to moving masses

Ariaei, A.; Ziaei-Rad, Saeed; Ghayour, Mostafa

doi:10.1016/j.jsv.2009.05.013

Cited by 77 publications

(43 citation statements)

References 20 publications

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“…This result is in agreement with the work in [20]. However, this conclusion is not correct when the crack depth is small which was not discussed in [20]. As is seen in Fig.…”

Section: Influences Of Breathing Cracks On Dynamic Responsessupporting

confidence: 90%

“…3, the effect of the breathing crack can roughly be considered as the effect of a fully open crack with much smaller depth. This result is in agreement with the work in [20]. However, this conclusion is not correct when the crack depth is small which was not discussed in [20].…”

Section: Influences Of Breathing Cracks On Dynamic Responsessupporting

confidence: 90%

“…1.4E+00 [20]. This means that when there is a presence of the breathing crack, the proposed method works more efficiently in a noisy environment when compared with the case of open crack.…”

Section: Influence Of the Noisementioning

confidence: 89%

“…To model the breathing crack the stiffness of a cracked element can be determined using the curvature of the beam at the crack location [20]. It is assumed that the effect of crack depends on the curvature of beam at crack location and it ranges from 0 to 1 when the curvature ranges from negative maximum to positive maximum.…”

Section: Stiffness Matrix Of a Breathing Cracked Elementmentioning

confidence: 99%

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Monitoring breathing cracks of a beam-like bridge subjected to moving vehicle using wavelet spectrum

Nguyen

2013

Vietnam J. Mech.

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Abstract. In this paper a wavelet spectrum technique for monitoring the breathing crack phenomenon of a beam-like bridge subjected to moving vehicle is presented. The stiffness of element with a breathing crack is modeled as a time dependent stiffness matrix using the finite element method. The stiffness matrix of the structure at each moment depends on the curvature of the structure at the crack position. The breathing crack phenomenon can be detected by analysing the instantaneous frequency (IF) of the system using the wavelet spectrum. When the crack depth is large, the crack area might be determined by the significant peak in the IF. The simulation results show that when the crack "breaths" the amplitude of the vibration obtained from the vehicle is smaller than in the case of an open crack. This is a warning when using the amplitude of the dynamic response to estimate the crack depth when there is a breathing crack in the structure. Therefore, it is important to distinguish the open crack and breathing crack to obtain a more accurate estimation of the crack depth. The results showed that crack with a depth as small as 10% of the beam height can be detected by the method. The proposed method can be applied with a noise level up to 10%.

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“…This result is in agreement with the work in [20]. However, this conclusion is not correct when the crack depth is small which was not discussed in [20]. As is seen in Fig.…”

Section: Influences Of Breathing Cracks On Dynamic Responsessupporting

confidence: 90%

Section: Influences Of Breathing Cracks On Dynamic Responsessupporting

confidence: 90%

“…1.4E+00 [20]. This means that when there is a presence of the breathing crack, the proposed method works more efficiently in a noisy environment when compared with the case of open crack.…”

Section: Influence Of the Noisementioning

confidence: 89%

Section: Stiffness Matrix Of a Breathing Cracked Elementmentioning

confidence: 99%

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Monitoring breathing cracks of a beam-like bridge subjected to moving vehicle using wavelet spectrum

Nguyen

2013

Vietnam J. Mech.

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“…Initially, this class of problem was first applied in the design of railway bridges and the application was later extended to other transportation engineering such as the design of bridges, guideways, overhead cranes, cableways, rails, roadways, runways, tunnels, and pipelines with moving masses [2]. Evidently, extensive researches have been conducted by many researchers particularly on the analysis of continuous elastic system under the actions of moving sub-system [1, 3-5, 7, 8, 11, 12, 14-17, 19, 21]; this is of course due to its enormous practical significance.…”

Section: Introductionmentioning

confidence: 99%

Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions

Oni

Omolofe

2010

Lat. Am. j. solids struct.

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The transverse vibration of a prismatic Rayleigh beam resting on elastic foundation and continuously acted upon by concentrated masses moving with arbitrarily prescribed velocity is studied. A procedure involving generalized finite integral transform, the use of the expression of the Dirac delta function in series form, a modification of the Struble's asymptotic method and the use of the Fresnel sine and cosine functions is developed to treat this dynamical beam problem and analytical solutions for both the moving force and moving mass model which is valid for all variant of classical boundary conditions are obtained. The proposed analytical procedure is illustrated by examples of some practical engineering interest in which the effects of some important parameters such as boundary conditions, prestressed function, slenderness ratio, mass ratio and elastic foundation are investigated in depth. Resonance phenomenon of the vibrating system is carefully investigated and the condition under which this may occur is clearly scrutinized. The results presented in this paper will form basis for a further research work in this field.

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Dynamic response of a multi-span Timoshenko beam with internal and external flexible constraints subject to a moving mass

2013

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Vibration analysis of beams with open and breathing cracks subjected to moving masses

Cited by 77 publications

References 20 publications

Monitoring breathing cracks of a beam-like bridge subjected to moving vehicle using wavelet spectrum

Monitoring breathing cracks of a beam-like bridge subjected to moving vehicle using wavelet spectrum

Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions

Dynamic response of a multi-span Timoshenko beam with internal and external flexible constraints subject to a moving mass

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