Journal ArticleDOI
Detection of crack location using cracked beam element method for structural analysis
TLDR
In this paper, a special finite element for a cracked Timoshenko beam is developed to model the structure for FEM analysis, and shape functions for rotational and translational displacements are used to obtain the consistent mass matrix for the cracked beam element.About:
This article is published in Theoretical and Applied Fracture Mechanics.The article was published on 2001-07-01. It has received 80 citations till now. The article focuses on the topics: Stiffness matrix & Timoshenko beam theory.read more
Citations
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Journal ArticleDOI
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.
Journal ArticleDOI
Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches
TL;DR: In this paper, the in-plane linear dynamic behavior of multi-stepped and multi-damaged circular arches under different boundary conditions is investigated, where cracks can be located both at the interface between two adjacent portions as well as inside the portion itself.
Journal ArticleDOI
Vibration of beams with multiple open cracks subjected to axial force
TL;DR: In this article, a new method is proposed to obtain the eigenfrequencies and mode shapes of beams containing multiple cracks and subjected to axial force, where cracks are assumed to introduce local flexibility changes and are modeled as rotational springs.
Journal ArticleDOI
Free vibration analysis of uniform and stepped cracked beams with circular cross sections
Murat Kisa,M. Arif Gürel +1 more
TL;DR: In this paper, the authors presented a novel numerical technique applicable to analyze the free vibration analysis of uniform and stepped cracked beams with circular cross-section, in which the finite element and component mode synthesis methods are used together, the beam is detached into parts from the crack section.
Journal ArticleDOI
On the application of bees algorithm to the problem of crack detection of beam-type structures
TL;DR: In this paper, the application of the bees algorithm (BA) to the problem of crack detection in beams is introduced, and a numerical as well as an experimental study is designed to predict a single open edge-crack in cantilever beams.
References
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Journal ArticleDOI
Strain-energy-density factor applied to mixed mode crack problems
TL;DR: In this paper, the authors investigated the general problem of crack extension in a combined stress field where a crack can grow in any arbitrary direction with reference to its original position, and showed that the direction of crack growth and fracture toughness for the mixed problem of Mode I and Mode II are governed by the critical value of the strain-energy-density factor.
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.
Book ChapterDOI
Mechanics of Fracture
TL;DR: In this article, the theoretical strength of crystalline solids is derived based on idealised forms of atomic force-displacement curves, in which the force is defined as the differential with respect to distance of the interatomic or inter-ionic energy.
Journal ArticleDOI
The dynamic behaviour and crack detection of a beam with a crack
TL;DR: In this paper, an element stiffness matrix of a cantilever beam with a crack is derived from an integration of stress intensity factors, and then a finite element model of a cracked beam is established.
Journal ArticleDOI
A cracked column under compression
TL;DR: In this article, the effects of a single-edge crack on the load carrying capacity, the deflection, and the fracture load of a column with a single edge crack have been studied based on column theory together with the well-known relationship between the compliance and the stress intensity factor of a cracked beam.