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A Crack Identification Approach for Beam-Like Structures under Moving Vehicle using Particle Swarm Optimization

Ein Ansatz zur Rissidentifizierung für balkenartige Strukturen unter bewegten Fahrzeugen mittels Particle Swarm Optimization
Hakan Gökdağ
From the journal Materials Testing

Abstract

A crack identification method for beam type structures under moving vehicle is proposed. The basic of the method is to formulate damage detection as an inverse problem, and solve for damage locations and extents. With respect to this, an objective function is defined based on the difference of damaged beam dynamic response and the response calculated by the mathematical model of the beam. The optimization problem is solved by the particle swarm optimization (PSO) with linearly increasing inertia weight to obtain crack locations and their depths. By the numerical simulations, it was observed that cracks with depth ratio of 0.1 can be identified with reasonable error by the present method in spite of noise interference of 3 %.

Kurzfassung

Ein Verfahren zur Identifizierung von Rissen in balkenartigen Strukturen unter bewegten Fahrzeugen wird in dem vorliegenden Beitrag dargestellt. Die Basis dieses Verfahrens bildet die Formulierung der Rissdetektion als inverses Problem und dessen Lösung für die Schädigungsorte und -ausmaße. Diesbezüglich wurde eine objektive Funktion definiert, die auf der Differenz basiert, die sich zwischen der dynamischen Antwort des geschädigten Balkens und der Antwort ergibt, die mittels des mathematischen Balkenmodells berechnet wurde. Die Optimierungsaufgabe wurde mittels Particle Swarm Optimization (PSO) mit linear wachsendem Massenträgheitsmoment gelöst, um die entsprechenden Rissorte und deren Tiefe zu erhalten. Mittels der numerischen Simulationen wurde beobachtet, dass Risse mit einem Tiefenverhältnis von 0,1 mit diesem Verfahren innerhalb eines vernünftigen Fehlers identifiziert werden können, trotz einer Rauschinterferenz von 3 %.


Hakan Gökdağ has been assistant professor of Mechanical Engineering at Bursa Technical University, Turkey (www.btu.edu.tr) for about a year. Before, he was research assistant at Uludağ University, Turkey (www.uludag.edu.tr), where he received his diploma (MSc) in 20 0 5 on applications of linear theory of vibrations, and PhD in 20 10 on wavelet transform based structural damage detection. From 20 0 9 to 20 10 he was visitor researcher at Mechanical Engineering, Imperial College London, UK. His research interests include applications of linear and nonlinear vibrations, experimental modal analysis, structural damage detection, wavelet transform and its applications, applied mathematics, and signal processing for sound and vibration applications.


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Published Online: 2013-05-26
Published in Print: 2013-02-01

© 2013, Carl Hanser Verlag, München