System identification techniques for estimating material functions from wave propagation experiments

Inverse Problems in Engineering

Volumn 10, Issue 5, 2002, Pages 413-439

  Söderström, Torsten ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

Complex modulus; Statistical errors; System identification; Viscoelasticity; Wave propagation

Indexed keywords

ELASTIC MODULI; ERROR ANALYSIS; MATERIALS SCIENCE; PARAMETER ESTIMATION; STATISTICAL METHODS; STRAIN; STRESS ANALYSIS; VISCOELASTICITY; WAVE PROPAGATION;

STATISTICAL ERRORS;

INVERSE PROBLEMS;

EID: 0036772509     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/1068276021000004715     Document Type: Article

References (39)

1. B.D.O. Anderson and S. Vongpanitlerd (1973). Network Analysis and Synthesis. Prentice Hall, Englewood Cliffs, NJ, USA.
2. H.T. Banks and K. Kunich (1989). Estimation Techniques for Distributed Parameter Systems. Birkhäuser, Boston.
3. T. Beda (1990). Modules complexes des matéiaux viscoélatiques par essays dynamiques sur tiges. PhD thesis, Conservatoire National des Arts et Métiers de Paris.
4. R.H. Blanc (1971). Détermination de l'équation de comportement des corpviscoélastiques linéaires par une méthode d'mpulsion. PhD thesis, Université d'Aix Marseille.
5. R.H. Blanc. (1993). Transient wave propagation methods for determining the viscoelastic properties of solids. Journal of Applied Mechanics, 60, 763-768.
6. J.L. Buchanan (1987). Numerical solution for the dynamic moduli of viscoelastic bar. Journal of the Acoustical Society of America, 81, 1775-1786.
7. W. Flügge (1975). Viscoelasticity. Springer-Verlag, Berlin.
8. G.H. Gloub and C.F. Van Loan (1989). Matrix Computations, 2nd Edn. John Hopkins University Press, Baltimore, MD, USA.
9. L. Hillström (2000). Identification of materials and estimation of states in elastic and viscoelastic bars on the basis of wave propogation test. PhD thesis, Uppsala University, Department of Materials Science, Solid Mechanics Group.
10. L. Hillström, M. Mossberg and B. Lundberg (2000). Identification of complex modulus from measured strains on an axially impacted bar using least squares. Journal of Sound and Vibration, 230(3), 689-707.
11. L. Hillström, U. Valdek and B. Lundberg (2002). Identification of materials and estimation of states in non-uniform viscoelastic beams based on wave propagation tests and use of least squares. Journal of Sound and Vibration, to appear.
12. A.J. Hull (1996). An inverse method to measure the axial modulus of composite materials under tension. Journal of Sound and Vibration, 195, 545-551.
13. H. Kolsky and S.S. Lee (1962). The propagation and reflection of stress pulses in linear viscoleastic media. Technical Report No.5, Brown University Technical Report.
14. C.S. Kubrusly (1977). Distributed parameter system identification - a survey. International Journal of Control, 26(4), 509-535.
15. R.S. Lakes (1999). Viscoelastic Solids, CRC Press, Boca Raton, Florida.
16. L. Ljung (1999). System Identification - Theory for the User, 2nd Edn. Prentice Hall, Upper Saddle River, NJ, USA.
17. B. Lundberg and R. Blanc (1988). Determination of mechanical meterial properties from the two-point response of an impacted linearly viscoelastic rod specimen. Journal of Sound and Vibration, 126, 97-108.
18. B. Lundberg and S. Ödeen (1993). In situ determination of the complex modelus from strain measure-ments on an impacted structure. Journal of Sound and Vibration, 167, 413-419.
19. W.M. Madigosky and G.F. Lee (1983). Improved resonance technique for materials characterization. Journal of the Acoustical Society of America, 73, 1374-1377.
20. K. Mahata, S. Mousavi, T. Söderström, M. Mossberg, U. Valdek and L. Hillström (2001). On the use of flexural wave propagation experiments for identification of complex modulus. IEEE Transactions on Control Systems Technology, submitted for publication.
21. L. Meirovitch (1997). Principles and Techniques of Vibrations. Prentice Hall, Upper Saddle River.
22. M. Mossberg (2000). Identification of viscoelastic materials and continuous-time stochastic systems. PhD thesis, Uppsala University, Department of System and Control, Information Technology.
23. M. Mossberg, L. Hillström and L. Abrahamsson (December 2001). Parametric identification of viscoelastic materials from time and frequency domain data. Inverse Problems in Engineering, 9(6), 645-670.
24. M. Mossberg L. Hillström and T. Söderström (June 2000). Identification of viscoelastic materials. In: Proc. 12th IFAC Symp. System Identification, pp. 21-23. Santa Barbara CA, USA.
25. M. Mossberg, L. Hillström and T. Söderström (April 2001). Non-parametric identification of viscoelastic materials from wave propagation experiments. Automatica, 37(4), 511-521.
26. D.M. Norris, Jr. and W.C. Young (1970). Complex modulus measurement by longitudinal vibration testing. Experimental Mechanics, 10, 93-96.
27. S. Ödeen and B. Lundberg (1993). Determination of complex modulus from measured end-point accelerations of an impacted specimen. Journal of Sound and Vibration, 165, 1-8.
28. L. Peirlinckx, R. Pintelon and L. Van Biesen (1992). Identification of the constitutive equations for linear viscoelastic composite materials. In: Proc. IMTC-IEEE Instrumentation and Measurement Technology Conference, pp. 709-715. New York, USA.
29. L. Peirlinckx, R. Pintelon and L. Van Biesen (July 1993). Identification of parametric models for ultrasonic wave propagation in the presence of absorption and dispersion. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 40(4), 302-312.
30. T. Pritz (1982). Transfer function method for investigating the complex modulus of acoustical materials: rod-like specimen. Journal of Sound and Vibration, 81, 359-376.
31. K. Mahata, T. Söderström and S. Mousavi: Can estimation accuracy be improved by using the knowledge of boundary conditions? Submitted for publication.
32. T. Söderström and P. Stoica (1989). System Identification. Prentice Hall International, Hemel Hempstead, UK.
33. Y. Sogabe, K. Kishida and K. Nakagawa (1982). Wave propagation analysis for determining the dynamic properties of high damping alloys. Bulletin of the Japan Society of Mechanical Engineers, 25, 321-327.
34. M. Soula, T. Vinh, Y. Chevalier, T. Beda and C. Estouele (1997). Measurements of isothermal complex moduli of viscoelastic materials over a large range of frequencies. Journal of Sound and Vibration, 205(2), 167-184.
35. P.S. Theocaris and N. Papadopoulou (1978). Propagation of stress waves in viscoelastic media. Polymer, 19, 215-219.
36. N.W. Tschoegl (1997). Time dependence in material properties: an overview. Mechanics of Time-Dependent Materials, 1, 3-31.
37. B. Vestergaard (1990). Identification of dynamic modulus of viscoelastic materials. Technical Report 408, Danish Center for Applied Mathematics and Mechanics.
38. T. Vinh, J. Chemouil and C. Estouele (1987). Essais au choc sur propergol solide: Évaluation des modules complexes (Young et Coulomb) en fonction de la fréquence. Mémoim de l'Artillerie francais. Technical Report Tome 61, Ministère de la Défence, Paris.
39. C. Zener (1948). Elasticity and Anelasticity of Metals. University of Chicago Press, IL, USA.