The dynamic behaviour and crack detection of a beam with a crack
TL;DR: In this paper, an element stiffness matrix of a cantilever beam with a crack is derived from an integration of stress intensity factors, and then a finite element model of a cracked beam is established.
About: This article is published in Journal of Sound and Vibration.The article was published on 1990-04-22. It has received 266 citations till now. The article focuses on the topics: Crack closure & Crack tip opening displacement.
Citations
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TL;DR: In this paper, a crack in a structural member introduces a local flexibility that affects its vibration response, and the crack will open and close in time depending on the rotation and vibration amplitude.
1,080 citations
TL;DR: In this paper, the authors provide a review of the research that has been conducted on damage detection by wavelet analysis, including continuous and discrete wavelet transform and its application to structural health monitoring (SHM).
343 citations
TL;DR: In this paper, a continuous cracked beam vibration theory is used for the prediction of changes in transverse vibration of a simply supported beam with a breathing crack, where the equation of motion and the boundary conditions of the cracked beam considered as a one-dimensional continuum were used.
324 citations
TL;DR: In this paper, a simple and easy non-destructive evaluation procedure is presented for identifying a crack, the location and size of the crack, in a one-dimensional beam-type structure using the natural frequency data.
219 citations
TL;DR: In this paper, an analytical, as well as experimental approach to the crack detection in cantilever beams by vibration analysis is established, which is based on measured frequencies and mode shapes of the beam.
192 citations
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01 Jan 1960
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1,056 citations
01 Sep 1977
484 citations
TL;DR: In this paper, a first order perturbation method is presented which predicts the changes in resonance frequencies of a structure resulting from cracks, notches or other geometrical changes.
Abstract: A first order perturbation method is presented which predicts the changes in resonance frequencies of a structure resulting from cracks, notches or other geometrical changes. The eigenfrequency changes due to a crack are shown to be dependent on the strain energy of a static solution which is easily obtainable for small cracks and other small cut-outs. The method has been tested for three different cases, and the predicted results correlate very closely to experimental and numerical results.
284 citations
TL;DR: In this article, a dynamic model for beams with cross-sectional cracks is discussed, where a crack can be represented by a consistent, static flexibility matrix, and two different methods for the determination of the flexibility matrix are discussed.
Abstract: A dynamic model for beams with cross-sectional cracks is discussed. It is shown that a crack can be represented by a consistent, static flexibility matrix. Two different methods for the determination of the flexibility matrix are discussed. If the static stress intensity factors are known, the flexibility matrix can be determined from an integration of these stress intensity factors. Alternatively, static finite element calculations can be used for the determination of the flexibility matrix. Both methods are demonstrated in the present paper. The mathematical model was applied to an edge-cracked cantilevered beam and the eigenfrequencies were determined for different crack lengths and crack positions. These results were compared to experimentally obtained eigenfrequencies. In the experiments, the cracks were modelled by sawing cuts. The theoretical results were, for all crack lengths, in excellent agreement with the experimental data. The dynamic stress intensity factor for a longitudinally vibrating, centrally cracked bar was determined as well. The results compared very well with dynamic finite element calculations. The crack closure effect was experimentally investigated for an edge-cracked beam with a fatigue crack. It was found that the eigenfrequencies decreased, as functions of crack length, at a much slower rate than in the case of an open crack.
256 citations