Parameter identification in explicit structural dynamics: Performance of the extended Kalman filter

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 36-38, 2004, Pages 3807-3835

  Corigliano, Alberto ^a   Mariani, Stefano ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Kalman filter; Parameter identification; Structural dynamics

Indexed keywords

ACCURACY; DEGRADING STRENGTH; NODAL DISPLACEMENTS; TIME DISCRETIZATION;

CALIBRATION; DEGREES OF FREEDOM (MECHANICS); DYNAMIC LOADS; LINEARIZATION; PARAMETER ESTIMATION; PERFORMANCE; STRUCTURAL ANALYSIS; VECTORS;

KALMAN FILTERING;

STRUCTURAL ANALYSIS;

EID: 4344621350     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.02.003     Document Type: Article

References (35)

1. Bui H.D. Inverse Problems in the Mechanics of Materials: An Introduction 1994 CRC Press London, UK
2. Stavroulakis G.E. Inverse and Crack Identification Problems in Engineering Mechanics Applied Optimization vol. 46 2000 Kluwer Academic Publishers
3. Bittanti S. Maier G. Nappi A. Inverse problems in structural elastoplasticity: a Kalman filter approach Sawczuk A. Bianchi G. Plasticity Today. Modelling, Methods and Applications 1984 311-329 Elsevier Applied Science Publishers
4. Mahnken R. Stein E. Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations Int. J. Plasticity 12 1996 451-479
5. Yoshida F. Urabe M. Toropov V.V. Identification of material parameters in constitutive model for sheet metals from cyclic bending tests Int. J. Mech. Sci. 40 1998 237-249
6. Mahnken R. Kuhl E. Parameter identification of gradient enhanced damage models with the finite element method Eur. J. Mech., A/Solids 18 1999 819-835
7. Bolzon G. Fedele R. Maier G. Parameter identification of a cohesive crack model by Kalman filter Comput. Methods Appl. Mech. Engrg. 191 2002 2847-2871
8. Abrate S. Impact on Composite Structures 1998 Cambridge University Press
9. Corigliano A. Damage and fracture mechanics techniques for composite structures Milne I. Ritchie R.O. Karihaloo B. Comprehensive Structural Integrity vol. 3 2003 Elsevier Science (Chapter 9)
10. Kalman R.E. A new approach to linear filtering and prediction problems ASME J. Basic Engrg. 82D 1960 35-45
11. Catlin D.E. Estimation, control and the discrete Kalman filter Applied Mathematical Sciences vol. 71 1989 Springer-Verlag
12. Gelb A. Applied Optimal Estimation 1974 The M.I.T. Press
13. Wan E.A. Nelson A.T. Dual extended Kalman filter methods Haykin S. Kalman Filtering and Neural Networks 2001 123-173 John Wiley - Sons
14. Corigliano A. Mariani S. Orsatti B. Identification of Gurson-Tvergaard material model parameters via Kalman filtering technique--I. Theory Int. J. Fract. 104 2000 349-373
15. R. Giampieretti, A. Corigliano, G. Maier, Constitutive modelling of composites and laminates via homogenisation and parameter identification, in: Proceedings of FRC 2000, NewCastle upon Tyne, 2000, pp. 449-457
16. Corigliano A. Mariani S. Parameter identification of a time-dependent elastic-damage interface model for the simulation of debonding in composites Compos. Sci. Technol. 61 2001 191-203
17. Corigliano A. Mariani S. Simulation of damage in composites by means of interface models: parameter identification Compos. Sci. Technol. 61 2001 2299-2315
18. A. Corigliano, Elasto-plastic interface law for non-homogeneous materials: formulation, sensitivity analysis, parameter identification, in: B.L. Karihaloo (Ed.), IUTAM Symposium: Analytical and Computational Fracture Mechanics of Non-homogeneous Materials, Cardiff, June, 2001, Kluwer Academic Publishers, pp. 233-242
19. Corigliano A. Mariani S. Identification of a constitutive model for the simulation of time-dependent interlaminar debonding processes in composites Comput. Methods Appl. Mech. Engrg. 191 2002 1861-1894
20. A. Corigliano, Parameter identification of interface laws, in: H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, 2002. ISBN 3-9501554-0-6
21. Corigliano A. Mariani S. The extended Kalman filter for model identification in impact dynamics Owen D.R.J. Oñate E. Suárez B. Computational Plasticity VII. Fundamentals and Applications 2003 CIMNE Barcelona, Spain
22. Rose J.H. Ferrante J. Smith J.R. Universal binding energy curves for metals and bimetallic interfaces Phys. Rev. Lett. 47 1981 675-678
23. Rose J.H. Smith J.R. Ferrante J. Universal features of bonding in metals Phys. Rev. B 28 1983 1835-1845
24. Xu X.-P. Needleman A. Numerical simulation of fast crack growth in brittle solids J. Mech. Phys. Solids 42 1994 1397-1434
25. Needleman A. Rosakis A.J. The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces J. Mech. Phys. Solids 47 1999 2411-2449
26. Corigliano A. Mariani S. Pandolfi A. Numerical modeling of rate-dependent debonding processes in composites Compos. Struct. 61 2003 39-50
27. Bažant Z.P. Cedolin L. Stability of Structures 1991 Oxford University Press
28. Armero F. On the characterization of localized solutions in inelastic solids: an analysis of wave propagation in a softening bar Comput. Methods Appl. Mech. Engrg. 191 2001 181-213
29. Hoshiya M. Saito E. Structural identification by extended Kalman filter ASCE J. Engrg. Mech. 110 1984 1757-1770
30. Bažant Z.L. Pijaudier-Cabot G. Nonlocal continuum damage, localization instability and convergence ASME J. Appl. Mech. 55 1988 287-293
31. de Borst R. Sluys L.J. Localization in a Cosserat continuum under static and dynamic loading conditions Comput. Methods Appl. Mech. Engrg. 90 1991 805-827
32. L.J. Sluys, Wave propagation, localization and dispersion in softening solids, Ph.D. thesis, Delft University of Technology, 1992
33. Mühlhaus H.B. Continuum Models for Materials with Microstructure 1995 John Wiley - Sons
34. Comi C. Corigliano A. On uniqueness of the dynamic finite-step problem in gradient-dependent softening plasticity Int. J. Solids Struct. 33 1996 3881-3902
35. Comi C. Perego U. Fracture energy based bi-dissipative damage model for concrete Int. J. Solids Struct. 38 2001 6427-6454