An algorithm for identification of the relaxation spectrum of viscoelastic materials from discrete-time stress relaxation noise data

• Autorzy: Stankiewicz A.

Warianty tytułu

PL

Algorytm identyfikacji spektrum relaksacji materialow lepkosprezystych na podstawie zakloconych pomiarow modulu relaksacji

• Języki publikacji: EN

Abstrakty

EN

PL

Słowa kluczowe

EN

relaxation spectrum; identification algorithm; regularization; viscoelastic material; Hermite function; stress relaxation; linear convergence; noise measurement; sugar-beet root

• Wydawca: -
• Czasopismo: Teka Komisji Motoryzacji i Energetyki Rolnictwa
• Rocznik: 2012
• Tom: 12
• Numer: 2
• Opis fizyczny: p.203-208,fig.,ref.

Twórcy

autor

Stankiewicz A.

• Department of Mechanical Engineering and Automatics, University of Life Sciences in Lublin, Doswiadczalna 50A, 20-280 Lublin, Poland

Bibliografia

• 1. Bjorck A., 1996: Numerical Methods for Least Squares Problems. SIAM, Philadelphia, PA.
• 2. Bzowska-Bakalarz M., 1989: Comparison of rheological models determining the physical properties of sugar beet roots. Proceedings of the 4th International Conference Physical Properties of Agricultural Materials, Rostock, 109-112.
• 3. Czachor G., 2010: Models of stress relaxation in fibre-boards containing straw component. Inżynieria Rolnicza, 1(119), 105-113 [in Polish].
• 4. Elster C., Honerkamp J., Weese J., 1991: Using regularization methods for the determination of relaxation and retardation spectra of polymeric liquids. Rheological Acta 30(2), 161-174.
• 5. Ferry J.D., 1980: Viscoelastic properties of polymers. John Wiley and Sons, New York.
• 6. Figiel A., 2008: Rheological properties of biodegradable material determined on the basis of a cyclic stress relaxation test. Inżynieria Rolnicza, 4 (102), 271-278 [in Polish].
• 7. Gladyszewska B., Ciupak A., 2011: A storage time influence on mechanical parameters of tomato fruit skin. TEKA Commission of Motorization and Power Industry in Agriculture, 11C, 64-73.
• 8. Golacki K., Kołodziej P., 2011: Impact testing of biological material on the example of apple tissue. TEKA Commission of Motorization and Power Industry in Agriculture, 11c, 74-82.
• 9. Gołacki K., Kołodziej P., Stankiewicz A., Stropek Z., 2003: Report of KBN Grant No 5P06F00619: “Mechanical hardiness of sugar beet analysis in the context of practical mechanical loads”, 1-214 [in Polish].
• 10. Guz T., 2008: Thermal quarantine of apples as a factor forming its mechanical properties. TEKA Commission of Motorization and Power Industry in Agriculture, 8 A, 52-62.
• 11. Honerkamp J., 1989: Ill-posed problems in rheology. Rheological Acta, 28, 363-371.
• 12. Kubacki K.S., 2006: Should we always use the mean value. TEKA Commission of Motorization and Power Industry in Agriculture, 6, 55-66.
• 13. Kuna-Broniowska I., Bożena Gładyszewska B., Anna Ciupak A., 2011: A comparison of mechanical parameters of tomato’s skin of greenhouse and soil-grown varieties. TEKA Commission of Motorization and Power Industry in Agriculture, 11C, 151-161.
• 14. Kusińska E., Kornacki A., 2008: Testing of a mathematical model of grain porosity. TEKA Commission of Motorization and Power Industry in Agriculture, 8A, 112-117.
• 15. Lebedev N.N., 1972: Special functions and their applications. Dover, New York.
• 16. Ljung L., 1999: System Identification: Theory for the User. Prentice-Hall, Englewood Cliffs New Jersey.
• 17. Nowak K., Białobrzewski I., 2009: Modelling rheological properties of livestock meat in Matlab environment. Inżynieria Rolnicza, 9(118), 177-180 [in Polish].
• 18. Rao M.A., 1999: Rheology of Fluid and Semisolid Foods. Principles and Applications. Aspen Publishers, Inc., Gaithersburg, Maryland.
• 19. Sorvari J., Malinen M., 2006: Determination of the relaxation modulus of a linearly viscoelastic material. Mechanics of Time-Dependent Materials, 10, 125-133.
• 20. Stankiewicz A., 2003: A scheme for identification of continuous relaxation time spectrum of biological viscoelastic materials. Acta Scientiarum Polonorum, Seria Technica Agraria 2(2), 77-91 [in Polish].
• 21. Stankiewicz A., 2007: Identification of the relaxation spectrum of viscoelastic plant materials. Ph. D. Thesis, Agricultural University of Lublin, Poland [in Polish].
• 22. Stankiewicz A., 2012: On determination of the relaxation spectrum of viscoelastic materials from discretetime stress relaxation data. TEKA Commission of Motorization and Power Industry in Agriculture (submitted for publication).
• 23. Syed Mustapha S.M.F.D., Phillips T.N., 2000: A dynamic nonlinear regression method for the determination of the discrete relaxation spectrum. Journal of Physics D: Applied Physics, 33(10), 1219-1229.
• 24. Tikhonov A.N., Arsenin V.Y., 1977: Solutions of Illposed Problems. John Wiley and Sons New York, USA.