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Property identification of viscoelastic solid materials in nomograms using optimization techniques

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Viscoelastic materials have been widely used as devices for vibration control in general. Frequently, dynamic properties of those materials are provided by manufacturers only in a graph form in the frequency domain. This is a recurring problem in industry and academia. Thereby, the goal of this work is to contribute to this important issue which is to obtain the properties of viscoelastic materials from nomograms supplied by the manufacturer. The methodology is based on the digitalization of the nomogram of the material and on the subsequent reading of a set of points from two curves in different temperatures. An optimization problem with simple restrictions is built having characteristic constants of the constitutive models as design variables. The problem is solved by applying a hybrid optimization technique. The results obtained are presented, and prove to be very promising.
Rocznik
Strony
1285--1297
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
  • Parana Federal University, Postgraduate Program in Mechanical Engineering, Curitiba, Brazil
autor
  • Parana Federal University, Postgraduate Program in Mechanical Engineering, Curitiba, Brazil
  • Parana Federal University, Postgraduate Program in Mechanical Engineering, Curitiba, Brazil
  • Parana Federal University, Postgraduate Program in Mechanical Engineering, Curitiba, Brazil
Bibliografia
  • 1. Agirre M.M., Elejabarrieta M.J., 2010, Characterization and modeling of viscoelastically damped sandwich structures, International Journal of Mechanical Sciences, 52, 1225-1233
  • 2. Bagley R.L., Torvik J., 1986, On the fractional calculus model of viscoelastic behavior, Journal of Rheolology, 30, 133-155
  • 3. Bavastri C.A., 1997, Vibration reduction broadband complex structures by viscoelastic neutralizers, Doctoral Thesis, Federal University of Santa Catarina, Santa Catarina, Brazil
  • 4. Brinson H.F., Brinson L.C., 2008, Polymer Engineering Science and Viscoelasticity: An Introduction, Springer, New York
  • 5. Chen T., 2000, Determining a Prony series for a viscoelastic material from time varying strain data, Internal Report, National Technical Information Service – NASA
  • 6. Costa M.F.P., Ribeiro C., 2011, Parameter estimation of viscoelastic materials: a test case with different optimization strategies, AIP Conference Proceedings, 1389, 771-774
  • 7. Cruz G.A.M., 2004, Optimal design of neutralizing viscoelastic model based on the fractional derivatives, Doctoral thesis, Federal University of Santa Catarina, Santa Catarina, Brazil
  • 8. Ferry J.D., Stratton R.A., 1960, The free volume interpretation of the dependence of viscosities and viscoelastic relaxation times on concentration, pressure, and tensile strain, Kolloid-Zeitschrift, 171, 107-111
  • 9. Honerkamp J., 1989, Ill posed problems in rheology, Rheologica Acta, 28, 363-371
  • 10. Jalocha D., Constantinescu A., Neviere R., 2015, Revisiting the identification of generalized Maxwell models from experimental results, International Journal of Solids and Structures, 67-68, 169-181
  • 11. Jrad H., Dion J.L., Renaud F., Tawfiq I., Haddar M., 2013, Experimental characterization, modeling and parametric identification of the non linear dynamic behavior components, European Journal of Mechanics A/Solids, 42, 176-187
  • 12. Lemini D.G., 2014, Engineering Viscoelastic, Springer, New York
  • 13. Lopes E.M.O., Bavastri C.A., Neto J.M.S., Esp´indola J.J., 2004, Characterization dynamics in integrated elastomers generalized derivatives, Proceedings of the III CONEM, Belem, Brazil
  • 14. Mainardi F., 2010, Fractional Calculus and Waves in Linear Viscoelasticity – An Introduction to Mathematical Models, Imperial College Press, London
  • 15. Mainardi F., Spada G., 2011, Creep, relaxation and viscosity properties for basic fractional models in rheology, The European Physical Journal, Special Topics, 193, 133-160
  • 16. Nashif A.D., Jones D., Henderson J., 1985, Vibration Damping, Wiley-Interscience, New York
  • 17. O’brien D., Mather P.T., White S.R., 2001, Viscoelastic properties of an epoxy resin during cure, Journal of Composite Materials, 35, 883-904
  • 18. Park S.W., 2001, Analytical modeling of dampers for structural and vibration control, International Journal of Solids and Structures, 38, 8065-8092
  • 19. Pritz T., 1996, Analysis of four-parameter fractional derivative model of real solid materials, Journal of Sound and Vibration, 195, 103-115
  • 20. Rao M.D., 2002, Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes, Journal of Sound and Vibration, 262, 457-474
  • 21. Ribeiro E.A., Pereira J.T., Bavastri C.A., 2015, Passive vibration control in rotor dynamics: optimization composed support using viscoelastic materials, Journal of Sound and Vibration, 351, 43-56
  • 22. Soussou J.E., Moavenzadeh F., Gradowczyk M.H., 1970, Application of Prony series to linear viscoelasticity, Transactions of the Society of Rheology, 14, 573-584
  • 23. Suchocki C., Pawlikowski M., Skalski K., 2013, Determination of material parameters of quasi-linear viscoelastic rheological model for thermoplastics and resins, Journal of Theoretical and Applied Mechanics, 51, 569-580
  • 24. Ward I.M., Sweeney J., 2004, An Introduction to the Mechanical Properties of Solid Polymers, New Jersey, Chichester
  • 25. Welch S.W.J., Rorrer R.A.L., Duren R.G. Jr., 1999, Application of time – based fractional calculus methods to viscoelastic creep and stress relaxation of materials, Mechanics of Time-Dependent Materials, 3, 279-303
  • 26. Williams M.L., Landel R.F., Ferry J.D., 1955, The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids, Journal of the American Chemical Society, 77, 3701-3707
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a753649f-59cd-40d6-9465-ffdde02ec1d8
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