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Journal ArticleDOI

Application of spectral beam finite element with a crack and iterative search technique for damage detection

Marek Krawczuk
- 01 Apr 2002 - 
- Vol. 38, Iss: 6, pp 537-548
TLDR
The wave propagation approach combined with a genetic algorithm and the gradient technique for damage detection in beam-like structures and an iterative strategy for determination of the crack location and size is described.
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This article is published in Finite Elements in Analysis and Design.The article was published on 2002-04-01. It has received 130 citations till now. The article focuses on the topics: Gradient method & Iterative method.

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Citations
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Journal ArticleDOI

Crack detection in beam-like structures using genetic algorithms

TL;DR: A fault diagnosis method based on genetic algorithms (GAs) and a model of damaged (cracked) structure and an analytical model of a cracked cantilever beam is utilized and natural frequencies are obtained through numerical methods.
Journal ArticleDOI

The dynamic analysis of a cracked Timoshenko beam by the spectral element method

TL;DR: In this paper, a new finite spectral element of a cracked Timoshenko beam is introduced for modal and elastic wave propagation analysis, which is suitable for analyzing wave propagation problems as well as for calculating modal parameters of the structure.
Journal ArticleDOI

Damage detection of structures using spectral finite element method

TL;DR: In this article, the principles, equations, and applications of damage modelling and elastic wave propagation, both traditional and state-of-the-art in a review form, are presented.
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

Feasibility study of structural damage detection using NARMAX modelling and Nonlinear Output Frequency Response Function based analysis

TL;DR: In this article, a feasibility study of the application of the well-known Nonlinear Auto-Regressive Moving Average with eXogenous Inputs (NARMAX) modelling method and the NOFRFs-based analyses to the detection of damage in engineering structures is presented.
References
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Book

Genetic algorithms in search, optimization, and machine learning

TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.

Genetic algorithms in search, optimization and machine learning

TL;DR: This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
Book

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

TL;DR: In this paper, Schnabel proposed a modular system of algorithms for unconstrained minimization and nonlinear equations, based on Newton's method for solving one equation in one unknown convergence of sequences of real numbers.
Book

Numerical methods for unconstrained optimization and nonlinear equations

TL;DR: Newton's Method for Nonlinear Equations and Unconstrained Minimization and methods for solving nonlinear least-squares problems with Special Structure.
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.
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