Free Vibrations of Beams With a Single-Edge Crack
M.-H. H. Shen,Christophe Pierre +1 more
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TLDR
In this article, the authors derived the equation of motion and associated boundary conditions for a uniform Bernoulli-Euler beam containing one single-edge crack and evaluated the rate of exponential decay from finite element calculations.About:
This article is published in Journal of Sound and Vibration.The article was published on 1994-02-17 and is currently open access. It has received 137 citations till now. The article focuses on the topics: Crack tip opening displacement & Finite element method.read more
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Simplified models for the location of cracks in beam structures using measured vibration data
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.
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Damage identification using inverse methods
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.
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Crack Modeling for Structural Health Monitoring
Michael I. Friswell,J.E.T. Penny +1 more
TL;DR: There are a number of approaches to the modeling of cracks in beam structures reported in the literature, that fall into three main categories; local stiffness reduction, discrete spring models, and an... as mentioned in this paper.
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Crack detection in beams using experimental modal data and finite element model
H. Nahvi,Majid Jabbari +1 more
TL;DR: In this paper, an analytical, as well as experimental approach to the crack detection in cantilever beams by vibration analysis is established, which is based on measured frequencies and mode shapes of the beam.
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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).