A generalised fractional derivative approach to viscoelastic material properties measurement

Applied Mathematics and Computation

Volumn 164, Issue 2, 2005, Pages 493-506

  De Espiindola J J ^a   Da Silva Neto, João M ^a   Lopes, Eduardo M O ^a  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; SANDWICH STRUCTURES; STRUCTURAL PANELS; VIBRATION CONTROL;

CONSTITUTIVE EQUATIONS; DYNAMIC VIBRATION NEUTRALIZERS; FRACTIONAL DERIVATIVE MODEL; RESONANT VIBRATION RESPONSES;

VISCOELASTICITY;

EID: 15544379185     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.099     Document Type: Conference Paper

References (25)

1. B.R. Allen A direct complex stiffness test system for viscoelastic material properties Proceedings of SPIE 2720 1996 338 345
2. ASTM E 756-98, Standard test method for measuring vibration-damping properties of materials, ASTM, 1998
3. R.L. Bagley, and P.J. Torvik A generalised derivative model for an elastomer damper Shock and Vibration Bulletin 49 1979 135 143
4. R.L. Bagley, and P.J. Torvik On the fractional calculus model of viscoelastic behavior Journal of Rheology 30 1 1986 133 155
5. J.A. Brandon, E.M.O. Lopes, and J.J. EspIÍndola Some aspects of experimental and theoretical reanalysis using polymeric materials Proceedings of the Second International Conference on Identification in Engineering Systems 1999 Swansea UK 141 149
6. J.J. EspIÍndola, C.A. Bavastri, Reduction of vibration in complex structures with viscoelastic neutralisers: a generalised approach, in: Proceedings of the ASME Design Engineering Technical Conferences, vol. 3, Boston, USA, Part C, 1995, pp. 761-766
7. J.J. EspIÍndola, C.A. Bavastri, Modal reduction of vibrations by dynamic neutralisers in a frequency range-a generalised approach, in: Proceedings of Diname'95, Caxambú, Brazil, 1995, pp. 214-217
8. J.J. EspIÍndola, C.A. Bavastri, Reduction of vibration in complex structures with viscoelastic neutralisers: a generalised approach and a physical realisation, in: Proceedings of the ASME Design Engineering Technical Conferences, Sacramento, USA, Paper DETC97/VIB-4187, in CD-ROM, 1997
9. J.J. EspIÍndola, C.A. Bavastri, An efficient definition of transmissibility for a general equipment isolation system, in: Proceedings of the ASME Design Engineering Technical Conferences, Sacramento, USA, Paper DETC97/VIB-4120, in CD-ROM, 1997
10. J.J. EspIÍndola, and C.A. Bavastri Viscoelastic neutralisers in vibration abatement: a nonlinear optimisation approach Journal of the Brazilian Society of Mechanical Sciences XIX 2 1997 154 163 (indexed by Applied Mechanics Reviews and Engineering Information, Inc.)
11. J.J. EspIÍndola, C.A. Bavastri, Optimum conceptual design of viscoelastic dynamic neutraliser for low frequency complex structures, in: Proceedings of EuroDiname'99, Ulm, Germany, 1999, pp. 251-258
12. J.J. EspIÍndola, S.E. Floody, On the modeling of metal-elastomer composite structures: a finite element method approach, in: Proceedings of the Applied Mechanics in the Americas, vol. 8, Rio de Janeiro, Brazil, 1999, pp. 1335-1342
13. J.D. Ferry Viscoelastic Properties of Polymers 1980 John Wiley & Sons
14. D.I.G. Jones Viscoelastic materials for damping applications P.J. Torvik Damping Applications for Vibration Control vol. 38 1980 ASME/AMD 27 51
15. D.I.G. Jones, M. Khouri, T. Lewis, Correlation of complex modulus data by direct stiffness and indirect resonant beam techniques, in: Proceedings of Damping'91, Air Force Wright Aeronautical Laboratories, WL-TR-91-3078, San Diego, USA, vol. 2, pp. EBB1-EBB16, 1991
16. E.M.O. Lopes, J.J. EspIÍndola, J.A. Brandon, On the use of SVD for solving inverse problem in sandwich beams, in: Proceedings of the International Conference on Identification in Engineering Systems, Swansea, UK, 1996, pp. 184-193
17. A.D. Nashif, D.I.G. Jones, and J.P. Henderson Vibration Damping 1985 John Wiley & Sons
18. A.D. Nashif, and T.M. Lewis Data base of the dynamic properties of materials Sound and Vibration 25 7 1991 14 25
19. S.O. Oyadiji, and G.R. Tomlinson Determination of the complex moduli of viscoelastic structural elements by resonance and non-resonance methods Journal of Sound and Vibration 101 3 1985 277 298
20. S.O. Oyadiji, and G.R. Tomlinson Characterization of the dynamic properties of viscoelastic elements by the direct stiffness and master curve methodologies. Part 1: design of load frame and fixtures Journal of Sound and Vibration 186 4 1995 623 647
21. J. Padovan, and Y. Guo General response of viscoelastic systems modelled by fractional operators Journal of the Franklin Institute 325 2 1988 247 275
22. T. Pritz Frequency dependencies of complex moduli and complex Poisson's ratio of real solid materials Journal of Sound and Vibration 214 1 1998 83 104
23. D. Ross, E.E. Ungar, and E.M. Kerwin Jr. Damping of plate flexural vibrations by means of viscoelastic laminae Structural Damping 1959 ASME New York 49 88
24. B. Ross A brief history and exposition of the fundamental theory of fractional calculus Lecture Notes in Mathematics vol. 457 1975 Springer-Verlag New York 1 36
25. J.C. Snowdon Vibration and Shock in Damped Mechanical Systems 1968 John Wiley & Sons