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Journal ArticleDOI

A unified approach to free vibration of locally damaged beams having various homogeneous boundary conditions

A. Joshi, +1 more
- 22 Jun 1991 - 
- Vol. 147, Iss: 3, pp 475-488
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TLDR
In this paper, the problem of free vibration of uniform beams containing a local material damage has been studied with the aim of arriving at accurate closed form analytical expressions for the natural frequency for various homogeneous boundary conditions.
About
This article is published in Journal of Sound and Vibration.The article was published on 1991-06-22. It has received 29 citations till now. The article focuses on the topics: Boundary value problem & Timoshenko beam theory.

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Citations
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Journal ArticleDOI

The non-linear dynamic response of the euler-bernoulli beam with an arbitrary number of switching cracks

TL;DR: In this paper, the non-linear dynamic response of the Euler-Bernoulli beam in the presence of multiple concentrated switching cracks (i.e. cracks that are either fully open or fully closed) is addressed.
Journal ArticleDOI

Crack identification in beam from dynamic responses

TL;DR: In this article, a time domain method is proposed in which the parameters of a crack in a structural member are identified from strain or displacement measurements, where the crack is modeled as a discrete open crack represented mathematically by the Dirac delta function.
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Analytical approach to the determination of dynamic characteristics of a beam with a closing crack

TL;DR: In this article, the effect of crack parameters (crack magnitude and location) on different dynamic characteristics of a cantilever Bernoulli-Euler beam with a closing edge transverse crack is performed.
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Scattering effects induced by imperfections on an acoustic black hole placed at a structural waveguide termination

TL;DR: In this paper, a model of an ABH multimodal waveguide taking into account an imperfect termination is developed, which shows that an elementary imperfection can affect the reflection coefficient of the extremity and reduce it.
References
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Journal ArticleDOI

The location of defects in structures from measurements of natural frequencies

TL;DR: In this article, a method of non-destructively assessing the integrity of structures using measurements of the structural natural frequencies is described, where measurements made at a single point in the structure can be used to detect, locate and quantify damage.
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Vibration of cracked shafts in bending

TL;DR: In this paper, a de Laval rotor with an open crack is investigated by way of application of the theory of shafts with dissimilar moments of inertia, and analytical solutions are obtained for the closing crack under the assumption of large static deflections, a situation common in turbomachinery.
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A numerical study of the eigenparameters of a damaged cantilever

TL;DR: In this article, the relationship between damage location, damage size and the changes in the eigenvalues and eigenvectors of a cantilever when subjected to damage is investigated.
Journal ArticleDOI

Free vibration of beams with abrupt changes of cross-section

TL;DR: In this article, the effects of the groove dimensions on the frequency of free-free, square beams with a rectangular groove are discussed and the results are compared with those obtained by the simple beam theory.
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