Parameter estimation in active plate structures using gradient optimisation and neural networks

Inverse Problems in Science and Engineering

Volumn 14, Issue 5, 2006, Pages 483-493

  Araujo A L ^a   Soares, C M Mota ^b   Herskovits, J ^c   Pedersen, P ^d  

^a INSTITUTO POLITÉCNICO DE BRAGANÇA   (Portugal)

^b Instituto Superior Tecnico Institute for Mechanical Engineering   (Portugal)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^d TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Finite elements; Parameter estimation; Piezoelectric patches

Indexed keywords

EID: 33745635327     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415970600573676     Document Type: Conference Paper

References (24)

1. Araújo, A.L., Soares, C.M.M., Herskovits, J. and Pedersen, P., 2002. Development of a finite clement model for the identification of mechanical and piezoelectric properties through gradient optimisation and experimental vibration data. Composite Structures, 58, 307-318.
2. Soares, C.M.M., Freitas, M.J.M., Araújo, A.L. and Pedersen, P., 1993, Identification of material properties of composite plate specimens. Composite Structures, 25, 277-285.
3. Araújo, A.L., Soares, C.M.M. and Freitas, M.J.M., 1996, Characterization of material parameters of composite plate specimens using optimisation and experimental vibrational data. Composites B, 27B, 185-191.
4. Araújo, A.L., Soares, C.M.M., Freitas, M.J.M. and Pedersen, P., 2000, Combined numerical-experimental model for the identification of mechanical properties of laminated structures. Composite Structures, 50, 363-372.
5. Pedersen, P., 1999, Identification techniques in composite laminates. In: C.A. Mota Soares, C.M. Mota Soares and M.J.M. Freitas (Eds) Mechanics of Composite Materials and Structures (Dordrecht: Kluwer Academic Publishers), pp. 443-452.
6. Rikards, R., Abramovich, H., Green, T., Auzins, J. and Chate, A., 2003, Identification of elastic properties of composite laminates. Mechanics of Advanced Materials and Structures, 10, 335-352.
7. Cunha, J. and Piranda, J., 1999, Application of model updating techniques in dynamics for the identification of elastic constants of composite materials. Composites B, 30, 79-85.
8. Balasubramaniam, K. and Rao, N.S., 1998, Inversion of composite material elastic constants from ultrasonic bulk wave phase velocity data using genetic algorithms. Composites B, 29B, 171-180.
9. Lui, G.R., Ma, W.B. and Han, X., 2002, An inverse procedure for determination of material constants of composite laminates using elastic waves. Computer Methods in Applied Mechanics and Engineering, 191, 3543-3554.
10. Lui, G.R., Lam, K.Y. and Han, X., 2002, Determination of elastic constants of anisotropic laminated plates using elastic waves and a progressive neural network. Journal of Sound and Vibration, 252, 239-259.
11. Banks, H.T., Smith, R.C. and Wang, Y., 1996, Smart Materials Structures - Modeling, Estimation and Control (Paris: Masson).
12. Banks, H.T., Smith, R.C., Brown, D.E., Metcalf, V.L. and Silcox, R.J., 1997, The estimation of material and patch parameters in a PDE-based circular plate model. Journal of Sound and Vibration, 199, 777-799.
13. Moita, J.S., Soares, C.M.M. and Soares, C.A.M., 1999, Buckling and dynamic behaviour of laminated composite structures using a discrete higher order displacement model. Computers and Structures, 73, 407-423.
14. Mitchell, J.A. and Reddy, J.N., 1995, A refined hybrid plate theory for composite laminates with piezoelectric laminae. International Journal of Solids and Structures, 32, 2345-2367.
15. Reddy, J.N., 1999, On laminated composite plates with integrated sensors and actuators. Engineering Structures, 21, 568-593.
16. Benjeddou, A., Deü, J.-F. and Letombe, S., 2002, Free vibrations of simply-supported piezoelectric adaptive plates: an exact sandwich formulation. Thin-Walled Structures, 40, 573-593.
17. Zienkiewicz, O.C., 1971, The Finite Element Method in Engineering Science (New York: McGraw Hill).
18. Herskovits, J., 1998, A feasible directions interior point technique for nonlinear optimisation. Journal of Optimization Theory and Applications, 99, 121-146.
19. Herskovits, J., Dubeux, V., Soares, C.M.M. and Araújo, A.L., 2004, Interior point algorithms for nonlinear least squares problems. Inverse Problems in Science and Engineering, 12, 211-223.
20. ASTM D150-98, 1999, Standard Test Methods for AC Loss Characteristics and Permittivity (Dielectric Constant) of Solid Electrical Insulation. Annual Book of ASTM Standards, Vol. 10.01 (West Conshohocken: American Society for Testing and Materials).
21. Haykin, S., 1999, Neural Networks: A Comprehensive Foundation (New Jersey: Prentice Hall).
22. Sontag, E.D., 1992, Feedback stabilization using two-hidden-layer nets. IEEE Transactions on Neural Networks, 3, 981-990.
23. Zhang, Z. and Friedrich, K., 2003, Artificial neural networks applied to polymer composites: a review. Composite Science and Technology, 63, 2029-2044.
24. Taguchi, O. and Konish, S., 1987, Orthogonal Arrays and Linear Graphs: Tools for Quality Engineering (Dearborn: American Supplier Institute).