Journal ArticleDOI
Direct and inverse methods on free vibration analysis of simply supported beams with a crack
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TLDR
In this paper, an analytical transfer matrix method is used to solve the direct and inverse problems of simply supported beams with an open crack, where the crack is modeled as a rotational spring with sectional flexibility.About:
This article is published in Engineering Structures.The article was published on 2004-03-01. It has received 115 citations till now. The article focuses on the topics: Timoshenko beam theory & Characteristic equation.read more
Citations
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Natural frequencies for bending vibrations of Timoshenko cracked beams
TL;DR: In this paper, the natural frequencies for bending vibrations of Timoshenko cracked beams with simple boundary conditions have been obtained, where the beam is modelled as two segments connected by two massless springs (one extensional and another one rotational).
Journal ArticleDOI
Closed-form solutions for crack detection problem of Timoshenko beams with various boundary conditions
TL;DR: In this paper, an analytical approach for crack identification procedure in uniform beams with an open edge crack, based on bending vibration measurements, is developed, where the cracked beam is modeled as two segments connected by a rotational mass-less linear elastic spring with sectional flexibility, and each segment of the continuous beam is assumed to obey Timoshenko beam theory.
Journal ArticleDOI
Forced responses of cracked cantilever beams subjected to a concentrated moving load
Hai-Ping Lin,Shun-Chang Chang +1 more
TL;DR: In this paper, an analytical method is developed to present the dynamic response of a cracked cantilever beam subject to a concentrated moving load, where the cracked beam system is modeled as a two-span beam and each span of the continuous beam is assumed to obey Euler-Bernoulli beam theory.
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Modal parameter identification and vibration based damage detection of a multiple cracked cantilever beam
TL;DR: In this paper, the modal parameter identification and vibration based damage detection of a multiple cracked cantilever beam with hollow circular cross-section is presented. And the results are validated by experimental measurements.
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Mode shapes analysis of a cracked beam and its application for crack detection
TL;DR: In this paper, the authors analyzed the mode shapes of a cracked beam with a rectangular cross section beam using finite element method and applied the 3D beam element for this finite element analysis.
References
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Journal ArticleDOI
Detection of structural damage through changes in frequency: a review
TL;DR: The use of natural frequency as a diagnostic parameter in structural assessment procedures using vibration monitoring is discussed in this paper, based on the fact that natural frequencies are sensitive indicators of structural integrity.
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Vibration of cracked structures: A state of the art review
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.
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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.
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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...
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Analysis of the effect of cracks on the natural frequencies of a cantilever beam
TL;DR: In this article, a method of analysis of the effect of two open cracks on the frequencies of the natural flexural vibrations in a cantilever beam is presented, and two types of cracks are considered: double-sided and single-sided.