AN HYBRID STOCHASTIC-DETERMINISTIC OPTIMIZATION ALGORITHM FOR STRUCTURAL DAMAGE IDENTIFICATION
DOI:
https://doi.org/10.26512/ripe.v2i17.21658Keywords:
Structural health monitoring. Hybrid stochastic/deterministic (P-NMA) optimization method. Nelder-Mead algorithm. Representation formula of Pincus.Abstract
This paper presents a hybrid stochastic/deterministic optimization algorithm to solve the target optimization problem of vibration-based damage detection. The use of a numerical solution of the representation formula to locate the region of the global solution, i.e., to provide a starting point for the local optimizer, which is chosen to be the Nelder-Mead algorithm (NMA), is proposed. A series of numerical examples with different damage scenarios and noise levels was performed under impact and ambient vibrations. To test the accuracy and efficiency of the optimization algorithm, its results were compared to previous procedures available in the literature, which employed different solutions such as the genetic algorithm (GA) and the harmony search algorithm (HS). The performance of the proposed optimization scheme was more accurate and required a lower computational cost than the GA and HS algorithms, emphasizing the capacity of the proposed methodology for its use in damage diagnosis and assessment.
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de Cursi, J.E.S., 2006. “Representation of Solutions in Variational Calculus”. Organized by: E.Tarocco, E. A. de Souza Neto, A. A. Novotny. Variational Formulations in Mechanics: Theory and Applications, Barcelona (CIMNE) 87-106.
Doebling, S.W., Farrar, C.R., Prime, M.B., and Shevitz, D.W., 1996. “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review”. Los Alamos National Laboratory Report LA-13070-MS, Los Alamos, USA.
Fadel Miguel, L.F., Miguel, L.F.F., Kaminski Jr, J., and Riera, J.D., 2012. “Damage detection under ambient vibration by harmony search algorithm”. Expert Systems with Applications, Vol. 39, p. 9704-9714.
Fadel Miguel, L.F., Miguel, L.F.F., Riera, J.D., and Ramos de Menezes, R.C., 2007. “Damage detection in truss structures using a flexibility based approach with noise influence consideration”. Structural Engineering and Mechanics, Vol. 27, p. 625-638.
Fadel Miguel, L.F., Ramos de Menezes, R.C., and Miguel, L.F.F., 2006. “Mode shape expansion from data-based system identification procedures”. In Proceedings of the XXVII Iberian Latin American Congress on Computational Methods in Engineering, September 3-6, Brazil.
Gomes, H. M., and Silva, N., 2008. “Some comparisons for damage detection on structures using genetic algorithms and modal sensitivity method”. Applied Mathematical Modelling, Vol. 32, p. 2216”“2232.
Gonçalves, M.B., and de Cursi, J.E.S., 2001. “Parameter estimation in a trip model by random perturbation of a descent method”. Transportation Research Record, Vol. 35, p. 137-161.
Haftka, R.T. and Gürdal, Z., 1992. Elements of structural optimization. 3rd edition. Kluwer Academic Publishers.
Juang, J. N. and Pappa, R.S., 1985. “An eigensystem realisation algorithm for modal parameter identification and model reduction”. AIAA Journal of Guidance, Vol. 8, p. 620- 627.
Kang, F., Li, J.J., and Xu, Q., 2012. “Damage detection based on improved particle swarm optimization using vibration data, Applied Soft Computing , Vol. 12, p. 2329”“2335.
Lopez, R.H., de Cursi, J.E.S., and Lemosse, D., 2011. “Approximating the probability density function of the optimal point of an optimization problem”. Engineering Optimization, Vol. 43, p. 281-303.
Miguel, L.F.F., Fadel Miguel, L.F. and Thomas, C.A.K., 2009. “Theoretical and Experimental Modal Analysis of a Cantilever Steel Beam with a Tip Mass”. Journal of Mechanical Engineering Science, Vol. 223, p. 1535-1541.
Moradi, S., Razi, P., and Fatahi, L., 2011, “On the application of bees algorithm to the problem of crack detection of beam-type structures”. Computers and Structures, Vol. 89, p. 2169”“2175.
Nelder, J.A. and Mead, R., 1965. “A simplex for function minimization”. Computer Journal , Vol. 7, p. 308”“313.
Pincus, M., 1968. “A closed formula solution of certain programming problems”. Operations Research , Vol. 16, p. 690””694.
Santos, J.V.A., Maia, N.M.M., and Soares, C.M.M., 2008. “Structural damage identification: A survey”. In Trends in Computational Structures Technology, Saxe-Coburg Publications, 1-24, Stirlingshire, UK.
Van Overschee, P. and de Moor, B., 1993. “Subspace algorithm for the stochastic identification problem”. Automatica, Vol. 29, p. 649”“660.
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