### An Inverse Vibration Problem Solved by an Artificial Neural Network

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[1] S.V. Barai and P.C. Pandey, Time-delay neural networks in damage detection of railway bridges, Advances in Engineering Software, 28 (1997), 1-10.

E.P. Carden and P. Fanning, Vibration Based Condition Monitoring: A Review, Structural Health Monitoring, 3, No. 4 (2004), 355-377.

L.D. Chiwiacowsky and H.F. Campos Velho, Different Approaches for the Solution of a Backward Heat Conduction Problem, Inverse Problems in Engineering, 11, No. 6 (2003), 471-494.

L.D. Chiwiacowsky, H.F. Campos Velho and P. Gasbarri, The Damage Identification Problem: A Hybrid Approach, em “Anais do II Congresso Temático de Dinâmica, Controle e Aplicações (DINCON)” (J.M. Balthazar, G.N. da Silva, M. Tsuchida, M. Boaventura, L.C.S. Góes e J.D.S. Silva, eds.), pp. 1393-1402, São José dos Campos, SP, Brazil, 2003.

S.W. Doebling, C.R. Farrar, M.B. Prime and D.W. Shevitz, “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review”, Los Alamos National Laboratory, Technical Report LA-13070-MS, USA, 1996.

J. Hadamard, “Lectures on the Cauchy problem in linear partial differential equations”, Yale University Press, New Haven, 1923.

S. Haykin, “Neural Networks: A Comprehensive Foundation”, Macmillan, New York, 1993.

C. H. Huang, A non-linear inverse vibration problem of estimating the timedependent stiffness coefficients by conjugate gradient method, International Journal of Numerical Methods in Engineering, 50 (2001), 1545-1558.

C.H. Huang, An inverse vibration problem for simultaneously estimating the time-dependent stiffness coefficients, in “Proceedings of the 4th International Conference on Inverse Problems in Engineering: Theory and Practice”, pp. 123-131, Rio de Janeiro, RJ, Brazil, 2002.

M. Nadler and E.P. Smith, “Pattern Recognition Engineering”, John Wiley & Sons, New York, 1993.

N.M. Newmark, A method of computation for structural dynamics, ASCE -Journal of the Engineering Mechanics Division, 85 (1959), 67-94.

E.H. Shiguemori, H.F. de Campos Velho, J.D.S. da Silva, Estimation of Initial Condition in Heat Conduction by Neural Network, Inverse Problems in Science and Engineering, 12, No. 3 (2004), 317-328.

H. Sohn, C.R. Farrar, F.M. Hemez, D.D. Shunk, D.W. Stinemates, B.R. Nadler, “A Review of Structural Health Monitoring Literature: 1996-2001”, Los Alamos National Laboratory, Technical Report LA-13976-MS, USA, 2003.

K.Worden and J.M. Dulieu-Barton, An Overview of Intelligent Fault Detection in Systems and Structures, Structural Health Monitoring, 3, No. 1 (2004), 85-98.

DOI: https://doi.org/10.5540/tema.2005.06.01.0163

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