Journal ArticleDOI
Free vibration analysis of a cracked beam by finite element method
D.Y. Zheng,Nicole F Kessissoglou +1 more
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TLDR
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.About:
This article is published in Journal of Sound and Vibration.The article was published on 2004-06-07. It has received 168 citations till now. The article focuses on the topics: Direct stiffness method & Flexibility method.read more
Citations
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The strain energy release approach for modeling cracks in rotors: A state of the art review
TL;DR: In this paper, the strain energy release rate (SERR) theory is applied to a rotating crack and gives good results, and different methods of crack identification are presented as well as those for multi-crack identification.
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A review on the vibration analysis for a damage occurrence of a cantilever beam
TL;DR: In this paper, the effects of a crack on the cantilever steel beam with circular cross section were investigated and a finite element method (FEA) software was used in developing the model.
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A transfer matrix method for free vibration analysis and crack identification of stepped beams with multiple edge cracks and different boundary conditions
TL;DR: In this article, the Euler-Bernoulli beam is modeled as an assembly of uniform sub-segments connected by massless rotational springs representing local flexibility induced by the non-propagating edge cracks and a simple transfer matrix method is utilized to obtain the general form of characteristic equation for the cracked beam, which is a function of frequency, the locations and sizes of the cracks, boundary conditions, geometrical and physical parameters of the beam.
A review of damage detection and health monitoring of mechanical systems from changes in the measurement of linear and non-linear vibrations
TL;DR: This Chapter 13 presents a review of damage detection and structural health monitoring of mechanical systems from changes in the measurement of both linear and non-linear vibrations.
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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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Book
The stress analysis of cracks handbook
TL;DR: The Stress Analysis of Cracks Handbook as mentioned in this paper provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations, along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more.
Journal ArticleDOI
Methods of Numerical Integration.
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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.
Journal ArticleDOI
Coupled longitudinal and bending vibrations of a rotating shaft with an open crack
TL;DR: In this article, the coupling of longitudinal and bending vibrations of a rotating shaft, due to an open transverse surface crack, is investigated and the effects of unbalance and gravity are examined.