Journal ArticleDOI
One-dimensional theory of cracked Bernoulli-Euler beams
S. Christides,A.D.S. Barr +1 more
Reads0
Chats0
TLDR
In this paper, the authors derived the differential equation and associated boundary conditions for a nominally uniform Bernoulli-Euler beam containing one or more pairs of symmetric cracks and achieved the reduction to one spatial dimension using integrations over the cross-section after plausible stress, strain, displacement and momentum fields are chosen.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 1984-01-01. It has received 386 citations till now. The article focuses on the topics: Boundary value problem & Differential equation.read more
Citations
More filters
Journal ArticleDOI
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.
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
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.
Journal ArticleDOI
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.
Journal ArticleDOI
Vibration of a beam with a breathing crack
TL;DR: In this paper, a continuous cracked beam vibration theory is used for the prediction of changes in transverse vibration of a simply supported beam with a breathing crack, where the equation of motion and the boundary conditions of the cracked beam considered as a one-dimensional continuum were used.
References
More filters
Book
Variational Methods in Elasticity and Plasticity
TL;DR: In this article, the Statique Reference Record was created on 2004-09-07, modified on 2016-08-08, and was used for Elasticite and Plasticite.
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
Eigenfrequency changes of structures due to cracks, notches or other geometrical changes
TL;DR: In this paper, a first order perturbation method is presented which predicts the changes in resonance frequencies of a structure resulting from cracks, notches or other geometrical changes.
Journal ArticleDOI
Identification of cracks in welded joints of complex structures
TL;DR: In this article, the influence of a crack in a welded joint on the dynamic behavior of a structural member is discussed and the relation between the change in natural frequency of vibration of a cantilever beam and the crack depth that appears at the built-in edge which is clamped by way of a weld is investigated.