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Journal ArticleDOI

A simplified method for natural frequency analysis of a multiple cracked beam

Nguyen Tien Khiem, +1 more
- 23 Aug 2001 - 
- Vol. 245, Iss: 4, pp 737-751
TLDR
In this paper, a new method for natural frequency analysis of beam with an arbitrary number of cracks is developed on the bases of the transfer matrix method and rotational spring model of crack.
About
This article is published in Journal of Sound and Vibration.The article was published on 2001-08-23. It has received 167 citations till now. The article focuses on the topics: Natural frequency & Beam (structure).

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Citations
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Journal ArticleDOI

Detection of multiple cracks using frequency measurements

TL;DR: In this paper, a method for detection of multiple open cracks in a slender Euler-Bernoulli beams is presented based on frequency measurements, where the beam is virtually divided into a number of segments, which can be decided by the analyst, and each of them is considered to be associated with a damage parameter.
Journal ArticleDOI

Free vibration analysis of a cracked beam by finite element method

TL;DR: In this paper, the stiffness matrix obtained using the overall additional flexibility matrix can give more accurate natural frequencies than those resulted from using the local additional flexibility matrices, and the authors constructed a shape function that can perfectly satisfy the local flexibility conditions at the crack locations.
Journal ArticleDOI

Exact closed-form solution for the vibration modes of the Euler-Bernoulli beam with multiple open cracks

TL;DR: In this paper, exact closed-form expressions for the vibration modes of the Euler-Bernoulli beam in the presence of multiple concentrated cracks are presented explicitly as functions of four integration constants only, to be determined by the standard boundary conditions.
Journal ArticleDOI

Multiple cracks effects and identification

TL;DR: In this paper, the authors summarize the different studies on double/multi-cracks and to note the influences, identification methods in vibration structures such as beams, rotors, pipes, etc.
Journal ArticleDOI

Crack identification in double-cracked beams using wavelet analysis

TL;DR: In this article, the fundamental vibration mode of a double-cracked cantilever beam is analyzed using continuous wavelet transform and both the location and depth of the cracks are estimated.
References
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Journal ArticleDOI

Identification of crack location and magnitude in a cantilever beam from the vibration modes

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.
Journal ArticleDOI

A Vibration Technique for Non-Destructively Assessing the Integrity of Structures:

TL;DR: In this paper, a method of non-destructively evaluating the integrity of structures is described and applied to structures for which a one dimensional analysis is satisfactory, and it is shown how vibration measureme...
Journal ArticleDOI

A continuous cracked beam vibration theory

TL;DR: In this paper, a continuous cracked beam vibration theory is developed for the lateral vibration of cracked Euler-Bernoulli beams with single-edge or double-edge open cracks.
Journal ArticleDOI

Identification of Crack Location in Vibrating Simply Supported Beams

TL;DR: In this paper, a cracked, simply supported uniform beam is treated for either bending or axial vibrations, and the crack is simulated by an equivalent spring connecting the two segments of the beam.
Journal ArticleDOI

Natural frequencies of a beam with an arbitrary number of cracks

TL;DR: In this article, a new technique is proposed for calculating natural frequencies of a vibrating beam with an arbitrary finite number of transverse open cracks, and the main feature of this method is related to decreasing the dimension of the matrix involved in the calculation.
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