article

Application of genetic algorithm in crack detection of beam-like structures using a new cracked Euler-Bernoulli beam element

Authors:

Mohsen Mehrjoo,

Mohsen Ghafory-AshtianyAuthors Info & Claims

Applied Soft Computing, Volume 13, Issue 2

Pages 867 - 880

https://doi.org/10.1016/j.asoc.2012.09.014

Published: 01 February 2013 Publication History

Abstract

In this paper, a crack identification approach is presented for detecting crack depth and location in beam-like structures. For this purpose, a new beam element with a single transverse edge crack, in arbitrary position of beam element with any depth, is developed. The crack is not physically modeled within the element, but its effect on the local flexibility of the element is considered by the modification of the element stiffness as a function of crack's depth and position. The development is based on a simplified model, where each crack is substituted by a corresponding linear rotational spring, connecting two adjacent elastic parts. The localized spring may be represented based on linear fracture mechanics theory. The components of the stiffness matrix for the cracked element are derived using the conjugate beam concept and Betti's theorem, and finally represented in closed-form expressions. The proposed beam element is efficiently employed for solving forward problem (i.e., to gain accurate natural frequencies of beam-like structures knowing the cracks' characteristics). To validate the proposed element, results obtained by new element are compared with two-dimensional (2D) finite element results as well as available experimental measurements. Moreover, by knowing the natural frequencies, an inverse problem is established in which the cracks location and depth are identified. In the inverse approach, an optimization problem based on the new beam element and genetic algorithms (GAs) is solved to search the solution. The proposed approach is verified through various examples on cracked beams with different damage scenarios. It is shown that the present algorithm is able to identify various crack configurations in a cracked beam.

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Application of genetic algorithm in crack detection of beam-like structures using a new cracked Euler-Bernoulli beam element

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Published In

cover image Applied Soft Computing

Applied Soft Computing Volume 13, Issue 2

February, 2013

565 pages

ISSN:1568-4946

Issue’s Table of Contents

Copyright © Elsevier B.V. © 2012.

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 February 2013

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Cited By

Nguyen KMedjaher KTran D(2022)A review of artificial intelligence methods for engineering prognostics and health management with implementation guidelinesArtificial Intelligence Review10.1007/s10462-022-10260-y56:4(3659-3709)Online publication date: 9-Sep-2022
https://dl.acm.org/doi/10.1007/s10462-022-10260-y
Greco APluchino ACaddemi SCaliò ICannizzaro F(2020)On profile reconstruction of Euler–Bernoulli beams by means of an energy based genetic algorithmEngineering with Computers10.1007/s00366-018-00693-x36:1(239-250)Online publication date: 1-Jan-2020
https://dl.acm.org/doi/10.1007/s00366-018-00693-x
Gomes GCunha SAncelotti A(2019)A sunflower optimization (SFO) algorithm applied to damage identification on laminated composite platesEngineering with Computers10.1007/s00366-018-0620-835:2(619-626)Online publication date: 1-Apr-2019
https://dl.acm.org/doi/10.1007/s00366-018-0620-8
Livani MKhaji NZakian P(2018)Identification of multiple flaws in 2D structures using dynamic extended spectral finite element method with a universally enhanced meta-heuristic optimizerStructural and Multidisciplinary Optimization10.1007/s00158-017-1767-457:2(605-623)Online publication date: 1-Feb-2018
https://dl.acm.org/doi/10.1007/s00158-017-1767-4
Kaveh AZolghadr A(2017)Cyclical Parthenogenesis Algorithm for guided modal strain energy based structural damage detectionApplied Soft Computing10.1016/j.asoc.2017.04.01057:C(250-264)Online publication date: 1-Aug-2017
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Rajendra MShankar K(2015)Improved Complex-valued Radial Basis Function (ICRBF) neural networks on multiple crack identificationApplied Soft Computing10.1016/j.asoc.2014.10.04428:C(285-300)Online publication date: 1-Mar-2015
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Fuyong L(2014)A numerical kernel solution of beam systemsApplied Mathematics and Computation10.1016/j.amc.2014.06.030243(594-600)Online publication date: 1-Sep-2014
https://dl.acm.org/doi/10.1016/j.amc.2014.06.030

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