Identification of parameters of the fractional Maxwell model

• Autorzy: Lewandowski, R. , Chorążyczewski, B.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The passive dampers are often modeled using the either classical or fractional rheological models. An important problem, bounded with the fractional models, is an estimation of the model parameters from the experimental data. The process of parameter identification is an inverse problem which is underdetermined and can be ill conditioned. The new method of parameters identification of the fractional Maxwell model is proposed. The parameters are estimated using results obtained from dynamical tests. Results of example calculation based on artificial and experimental data are presented.

Słowa kluczowe

PL

amortyzator; identyfikacja parametrów; ułamkowy model maxwella

EN

dampers; identification of parameters; fractional Maxwell model

• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 223--228
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Lewandowski, R.

• Poznan University of Technology, Institute of Structural Engineering, 60-965 Poznań, ul. Piotrowo 5,

autor

Chorążyczewski, B.

• Poznan University of Technology, Institute of Structural Engineering, 60-965 Poznań, ul. Piotrowo 5

Bibliografia

• 1. Christopoulos C., Filiatrault A., Principles of passive supplemental damping and seismic isolation, IUSS Press, Pavia, Italy, 2006.
• 2. S. W. Park, Analytical modeling of viscoelastic dampers for structural and vibration control, Int. J. of Solids and Struct., 38 (2001) 8065 – 8092.
• 3. A. Palmeri, F. Ricciardelli, A. De Luca, G. Muscolino, State space formulation for linear viscoelastic dynamic systems with memory, J. of Engng Mech., 129 (2003) 715 – 724.
• 4. S. Gerlach, A. Matzenmiller, Comparison of numerical methods for identification of viscoelastic line spectra from static test data, Inter. J. for Numer. Meth. in Engng, 63 (2005) 428 – 454.
• 5. T. Pritz, Analysis of four-parameter fractional derivative model of real solid materials, J. of Sound and Vibr., 195 (1996) 103 – 115.
• 6. R. L. Bagley, P. J. Torvik, Fractional calculus – a different approach to the analysis of viscoelastically damped structures, AIAA J., 27 (1989) 1412 – 17.
• 7. A. Schmidt, L. Gaul, Finite element formulation of viscoelastic constitutive equations using fractional time derivatives, J. Nonlin. Dyn., 29 (2002) 37 – 55.
• 8. A. Aprile, J. A. Inaudi, J. M. Kelly, Evolutionary Model of Viscoelastic Dampers for Structural Applications, J. of Engng Mech., 123 (1997) 551 – 560.
• 9. N. Makris, M. C. Constantinou, Fractional-derivative Maxwell model for viscous dampers, J. of Struct. Engng, 117 (1991) 2708 – 2724.
• 10. J. Honerkamp, Ill-posed problem in rheology, Rheol. Acta, 28 (1989), 363 – 71.
• 11. T. Beda, Y. Chevalier, New method for identifying rheological parameter for fractional derivative modeling of viscoelastic behavior, Mech. of Time- Dependent Mater., 8 (2004) 105 – 118.
• 12. L. Podlubny, Fractional Differential equations, Academic Press, 1999.