Sequential stochastic identification of elastic constants using Lamb waves and particle filters

• Autorzy: Słoński M.
• Języki publikacji: EN

Abstrakty

EN

Sequential stochastic identification of elastic parameters of thin aluminum plates using Lamb waves is proposed. The identification process is formulated as a Bayesian state estimation problem in which the elastic constants are the unknown state variables. The comparison of a sequence of numerical and pseudoexperimental fundamental dispersion curves is used for an inverse analysis based on particle filter to obtain sequentially the elastic constants. The proposed identification procedure is illustrated by numerical experiments in which the elastic parameters of an aluminum thin plate are estimated. The results show that the proposed approach is able to identify the unknown elastic constants sequentially and that this approach can be also useful for the quantification of uncertainty with respect to the identified parameters.

Słowa kluczowe

EN

Bayesian state estimation; particle filter; guided Lamb waves; dispersion curves; thin plate

PL

oszacowanie stanu Bayesa; filtr cząstek stałych; fale Lamba; krzywa dyspersji; cienka płyta

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2014
• Tom: Vol. 21, no. 1
• Strony: 15--26
• Opis fizyczny: Bibliogr. 9 poz., rys., tab., wykr.

Twórcy

autor

Słoński M.

• Cracow University of Technology, Institute for Computational Civil Engineering Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] F.A. Amirkulova. Dispersion relations for elastic waves in plates and rods. Master’s Thesis, Rutgers, The State University of New Jersey, 2011.
• [2] T. Furukawa, J.W. Pan. Stochastic identification of elastic constants for anisotropic materials. International Journal for Numerical Methods in Engineering, 81(4): 429–452, 2010.
• [3] C. Gogu, W. Yin, R. Haftka, P. Ifju, J. Molimard, R. Le Riche, A. Vautrin. Bayesian identification of elastic constants in multi-directional laminate from Moiré interferometry displacement fields. Experimental Mechanics, 635–648, 2013.
• [4] H. Lamb. On waves in an elastic plate. Proceedings of the Royal Society of London. Series A, 93(648): 114–128, 1917.
• [5] W.P. Rogers. Elastic property measurement using Rayleigh-Lamb waves. Research in Nondestructive Evaluation, 6(4): 185–208, 1995.
• [6] J.L. Rose. Ultrasonic waves in solid media. Cambridge University Press (New York), 1999.
• [7] S. Russel, P. Norvig. Artificial intelligence: a modern approach. Prentice Hall, 3rd Ed., 2010.
• [8] M. Sale, P. Rizzo, A. Marzani. Semi-analytical formulation for the guided waves-based reconstruction of elastic moduli. Mechanical Systems and Signal Processing, 25(6): 2241–2256, 2011.
• [9] M. Tekieli, M. Słoński. Application of Monte Carlo filter for computer vision-based Bayesian updating of finite element model. Mechanics and Control, 33(1): 2014.