Abstract
Vibration based on structural damage detection (DD) is an important subject in many fields of engineering. Detection of possible damage locations before destructive stiffness losses in the engineering structures occur, is a main goal of DD. This paper describes the damage detection in structural elements by means of Particle Swarm Optimization algorithm (PSO). In this regard, the finite element model of a Timoshenko beam is considered, and damage is assumed as a stiffness loss in some elements. Damage locations and extents are identified minimizing some well-known modal parameter based objective functions. It is concluded that modal flexibility is the best among the considered damage indexes. Also, the results show that PSO is an effective optimization approach in structural damage detection.
Kurzfassung
Die vibrationsbasierte Erkennung von Strukturschäden (Damage Detection (DD)) ist ein bedeutender Punkt in vielen Feldern des Ingeniuerwesens. Das Hauptziel von DD ist es es, mögliche Schädigungsorte vor zerstörerischen Steifigkeitsverlusten zu erkennen. Der vorliegende Beitrag beafsst sich mit der Schädigungserkennung in Strukturelementen mit dem Algorithmus der Partikel-Schwarm-Optimierung (PSO). Hierzu wurde das Finite Elemente Modell einens Timoshenko-Balkens herangezogen und als Schädigung wurde ein Steifigkeitsverlust in einigen Elementen angenommen. Die Orte und Ausdehnungen der Schädigungen wurde identifiziert durch die Minimierung bekannter Modalparameter-basierter objektiver Funktionen. Aus der Studie folgt, dass die modale Flexibilität der beste unter den berücksichtigten Schädigungsindikatoren ist. Darüber hinaus zeigen die Ergebnisse, dass PSO ein effektiver Optimierungsansatz in der strukturellen Schädigungserkennung ist.
References
1 A.Alvandi, C.Cremona: Assessment of vibration based damage identification techniques, Journal of Sound and Vibration292 (2006), pp. 179–202Search in Google Scholar
2 Y. J.Yan, L.Cheng, Z. Y.Wu, L. H.Yam: Development in vibration based structural damage detection, Mechanical Systems and Signal Processing21 (2007), pp. 2198–2211Search in Google Scholar
3 M.Nobahari, S. M.Seyedpoor: Structural damage detection using an efficient correlation based index and a modified genetic algorithm, Mathematical and Computer Modelling53 (2011), pp. 1798–1809Search in Google Scholar
4 V.Meruane, W.Heylen: An hybrid real genetic algorithm to detect structural damage using modal properties, Mechanical Systems and Signal Processing25 (2011), pp. 1559–1573Search in Google Scholar
5 O.Begambre, J. E.Laier: A hybrid particle swarm optimization – simplex algorithm (PSOS) for structural damage identification, Advances in Engineering Software40 (2009), pp. 883–891Search in Google Scholar
6 H.Gomes, N.Silva: Some comparisons for damage detection on structures using genetic algorithms and modal sensitivity method, Applied Mathematical Nodelling32 (2008), No. 11, pp. 2216–2232Search in Google Scholar
7 R.Perera, S. E.Fang, C.Huerta: Structural crack detection without updated baseline model by single and multiobjective optimization, Mechanical Systems and Signal Processing23 (2009), pp. 752–768Search in Google Scholar
8 M. I.Friswell, J. E. T.Penny, S. D.Garvey: A combined genetic algorithm and eigensensitivity algorithm for the location of damage in structures, Computers and Structures69 (1998), pp. 547–556Search in Google Scholar
9 M.Vakil-Baghmisheh, M.Peimani, M.Sadeghi, M.Ettefagh: Crack detection in beam like structures using genetic algorithms, Applied Soft Computing8 (2008), No. 2, pp. 1150–1160Search in Google Scholar
10 S. M.Seyedpoor: A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization, International Journal of Nonlinear Mechanics47 (2012), pp. 1–810.1016/j.ijnonlinmec.2011.07.011Search in Google Scholar
11 S.Moradi, P.Razi, L.Fatahi: On the application of the bees algorithm to the problem of crack detection of beam type structures, Computers and Structures89 (2012), pp. 2169–2175Search in Google Scholar
12 A.Messina, E. J.Williams, T.Contursi: Structural damage detection by a sensitivity and statistical based method, Journal of Sound and Vibration216 (1998), pp. 791–808Search in Google Scholar
13 R.Eberhart, J.Kennedy: A new optimizer using particle swarm theory, Proc. of the IEEE Sixth International Symposium on Micro Machine Human Science, Nagoya, Japan (1995), pp. 39–43Search in Google Scholar
14 A. R.Yildiz, K. N.Solanki: Multi-objective optimization of vehicle crashworthiness using a new particle swarm based approach, in press (2011)10.1007/s00170-011-3496-ySearch in Google Scholar
15 A. R.Yildiz, N.Ozturk, N.Kaya, F.Ozturk: Hybrid multi-objective shape design optimization using Taguchi's method and genetic algorithm, Structural and Multidisciplinary Optimization34 (2007), pp. 277–365Search in Google Scholar
16 A. R.Yildiz: An effective hybrid immune hill climbing optimization approach for solving design and manufacturing optimization problems in industry, Journal of Materials Processing Technology209 (2009), pp. 2773–278010.1016/j.jmatprotec.2008.06.028Search in Google Scholar
17 A. R.Yildiz, F.Ozturk: Hybrid enhanced genetic algorithm to select optimal machining parameters in turning operation, Journal of Engineering Manufacture Part B220 (2006), pp. 2041–2053Search in Google Scholar
18 A. R.Yildiz: A novel particle swarm optimization approach for product design and manufacturing, International Journal of Advance Manufacturing Technology40 (2009), pp. 617–62810.1007/s00170-008-1453-1Search in Google Scholar
19 A. R.Yildiz: A novel hybrid immune algorithm for global optimization in design and manufacturing, Robotics and Computer Integrated Manufacturing25 (2009), pp. 261–27010.1016/j.rcim.2007.08.002Search in Google Scholar
20 A. R.Yildiz, K. N.Solanki: Multi-objective optimization of vehicle crashworthiness using a new particle swarm based approach, International Journal of Advance Manufacturing Technology, in press 2011, DOI: 10.1007/ s00170-011-3496-y.Search in Google Scholar
21 A. R.Yildiz, K.Saitou: Topology synthesis of multi-component structural assemblies in continuum domains, Journal of Mechanical Design133 (2011), pp. 110.1115/1.4003038Search in Google Scholar
22 S.Bureerat, J.Limtragool: Performance enhancement of evolutionary search for structural topology optimization, Finite Elements in Analysis and Design42 (2006), No. 6, pp. 547–566Search in Google Scholar
23 R. V.Rao, V. J.Savsani, D. P.Vakharia: Teaching learning based optimization: A novel method for constrained mechanical design optimization problems, Computer- Aided Design43 (2011), pp. 303–315Search in Google Scholar
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