Author
A.D.S. Barr
Bio: A.D.S. Barr is an academic researcher from University of Dundee. The author has contributed to research in topics: Bernoulli's principle & Beam (structure). The author has an hindex of 1, co-authored 1 publications receiving 364 citations.
Papers
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TL;DR: In this paper, the authors derived the differential equation and associated boundary conditions for a nominally uniform Bernoulli-Euler beam containing one or more pairs of symmetric cracks and achieved the reduction to one spatial dimension using integrations over the cross-section after plausible stress, strain, displacement and momentum fields are chosen.
386 citations
Cited by
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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 article, the authors proposed a non-destructive testing method for crack identification, which requires amplitude measurements at two positions of the structure only and is applicable to all one-dimensional structures.
721 citations
TL;DR: In this paper, a new simplified approach to modeling cracks in beams undergoing transverse vibration is presented, which uses Euler-Bernoulli beam elements with small modifications to the local flexibility in the vicinity of cracks.
364 citations
TL;DR: A number of problems that exist with the use of inverse methods in damage detection and location, including modelling error, environmental effects, damage localization and regularization are discussed.
Abstract: This paper gives an overview of the use of inverse methods in damage detection and location, using measured vibration data. Inverse problems require the use of a model and the identification of uncertain parameters of this model. Damage is often local in nature and although the effect of the loss of stiffness may require only a small number of parameters, the lack of knowledge of the location means that a large number of candidate parameters must be included. This paper discusses a number of problems that exist with this approach to health monitoring, including modelling error, environmental effects, damage localization and regularization.
352 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