A New Friction Model for Evaluating Energy Dissipation in Carbon Nanotube-Based Composites

Conference paper


Being lighter and stiffer than traditional metallic materials, nanocomposites have great potential to be used as structural damping materials for a variety of applications. Studies of friction damping in the nanocomposites are largely experimental, and there has been a lack of understanding of the damping mechanism in nanocomposites. A new friction model is developed to study the energy dissipation at the interface between carbon nanotube (CNT) and polymer matrix under dynamic loading. Iwan’s distributed friction model is considered in order to capture the stick/slip phenomenon at the interface. The effects of several parameters on energy dissipation are investigated, including the excitation’s frequency and amplitude, and the interaction between CNT’s ends and matrix. A compliance number is introduced to evaluate the energy dissipation for different contact interfaces. Some of the results are compared well with experimental observations in the literature.


Energy Dissipation Matrix Interface Axial Stiffness Slip Motion Interfacial Slippage 


  1. 1.
    Akay A (2002) Acoustics of friction. J Acoust Soc Am 111:1525–1548CrossRefGoogle Scholar
  2. 2.
    Wickert JA, Akay A (2000) Damper for brake noise reduction brake drums. US Patent 6,112,865Google Scholar
  3. 3.
    Wickert JA, Akay A (1999) Damper for brake noise reduction. US Patent 5,855,257Google Scholar
  4. 4.
    Tangpong XW, Wickert JA, Akay A (2008) Finite element model for hysteretic friction damping of traveling wave vibration in axisymmetric structures. ASME J Vib Acoust 130:11005CrossRefGoogle Scholar
  5. 5.
    Tangpong XW, Wickert JA, Akay A (2008) Distributed friction damping of traveling wave vibration in rods. Philos Trans R Soc A 366:811–827MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Collinger JC, Wickert JA, Corr LR (2009) Adaptive piezoelectric vibration control with synchronized switching. J Dyn Syst-T ASME 131(4):041006CrossRefGoogle Scholar
  7. 7.
    Tang J, Liu Y, Wang KW (2000) Semi-active and active-passive hybrid structural damping treatments via piezoelectric materials. Shock Vib Dig 32:189–200CrossRefGoogle Scholar
  8. 8.
    Lindler JE, Wereley NM (1999) Analysis and testing of electrorheological bypass dampers. J Intell Mater Syst Struct 10:363–376Google Scholar
  9. 9.
    Kamath GM, Wereley NM, Jolly MR (1999) Characterization of magnetorheological helicopter lag dampers. J Am Helicopter Soc 44:234–248CrossRefGoogle Scholar
  10. 10.
    Liao WH, Wang KW (1997) On the analysis of viscoelastic materials for active constrained layer damping treatments. J Sound Vib 207:319–334CrossRefGoogle Scholar
  11. 11.
    Brackbill CR, Lesieutre GA, Smith EC (2000) Characterization and modeling of the low strain amplitude and frequency dependent behavior of elastomeric damper materials. J Am Helicopter Soc 45:34–42Google Scholar
  12. 12.
    Koratkar N, Wei BQ, Ajayan PM (2002) Carbon nanotube films for damping applications. Adv Mater 14:997–1000Google Scholar
  13. 13.
    Suhr J, Koratkar N (2008) Energy dissipation in carbon nanotube composites: a review. J Mater Sci 43:4370–4382CrossRefGoogle Scholar
  14. 14.
    Wang Z, Liang ZY, Wang B (2004) Processing and property investigation of single-walled carbon nanotubes (SWNT) buckypaper/epoxy resin matrix nanocomposites. Compos Part A: Appl Sci Manuf 35:1225–1232CrossRefGoogle Scholar
  15. 15.
    Teo ETH, Yung WKP, Chua DHC (2007) A carbon nanomattress: A new nanosystem with intrinsic, tunable, damping properties. Adv Mater 19:2941–2945CrossRefGoogle Scholar
  16. 16.
    Koratkar NA, Suhr J, Joshi A (2005) Characterizing energy dissipation in single-walled carbon nanotube polycarbonate composites. Appl Phys Lett 87:063102CrossRefGoogle Scholar
  17. 17.
    Suhr J, Koratkar N (2006) Effect of pre-strain on interfacial friction damping in carbon nanotube polymer composites. J Nanosci Nanotechnol 6:483–486CrossRefGoogle Scholar
  18. 18.
    Suhr J, Zhang W, Ajayan PM (2006) Temperature-activated interfacial friction damping in carbon nanotube polymer composites. Nano Lett 6:219–223CrossRefGoogle Scholar
  19. 19.
    Zhou X, Shin E, Wang KW (2004) Interfacial damping characteristics of carbon nanotube-based composites. Compos Sci Technol 64:2425–2437CrossRefGoogle Scholar
  20. 20.
    Koratkar NA, Wei BQ, Ajayan PM (2003) Multifunctional structural reinforcement featuring carbon nanotube films. Compos Sci Technol 63:1525–1531CrossRefGoogle Scholar
  21. 21.
    Suhr J, Koratkar N, Ajayan PM (2004) Damping characterization of carbon nanotube thin films. Proc SPIE 5386:153–161CrossRefGoogle Scholar
  22. 22.
    Liu A, Huang JH, Wang KW, Bakis CE (2006) Effects of interfacial friction on the damping characteristics of composites containing randomly oriented carbon nanotube ropes. J Intell Mater Syst Struct 17:217–229CrossRefGoogle Scholar
  23. 23.
    Mahmoodi SN, Khadem SE, Jalili N (2006) Theoretical development and closed-form solution of nonlinear vibrations of directly excited nanotube-reinforced composite cantilevered beam. Arch Appl Mech 75:153–163MATHCrossRefGoogle Scholar
  24. 24.
    Kireitseu M, Hui D, Tomlinson G (2008) Advanced shock-resistant and vibration damping of nanoparticle-reinforced composite material. Compos Part B: Eng 39:128–138CrossRefGoogle Scholar
  25. 25.
    Iwan WD (1966) A distributed-element model for hysteresis and its steady-state dynamic response. J Appl Mech 33:893–900CrossRefGoogle Scholar
  26. 26.
    Iwan WD (1967) On a class of models for the yielding behavior of continuous and composite systems. J Appl Mech 89:612–617CrossRefGoogle Scholar
  27. 27.
    Al-Bender F, Lampaert V, Swevers J (2004) Modeling of dry sliding friction dynamics: from heuristic models to physically motivated models and back. Chaos 14:446–460CrossRefGoogle Scholar
  28. 28.
    Spanos P-TD (1979) Hysteretic structural vibrations under random load. J Acoust Soc Am 65:404–410MATHCrossRefGoogle Scholar
  29. 29.
    Segalman DJ (2001) An initial overview of Iwan modeling for mechanical joints, Technical Report, SAND2001–0811, Sandia National LaboratoriesGoogle Scholar
  30. 30.
    Mccarthy B, Coleman JN, Curran SA (2000) Observation of site selective binding in a polymer nanotube composite. J Mater Sc Lett 19:2239–2241CrossRefGoogle Scholar
  31. 31.
    Qian D, Dickey EC, Andrews R, Rantell T (2000) Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl Phys Lett 76:2868–2870CrossRefGoogle Scholar
  32. 32.
    Suhr J, Koratkar NA, Keblinski P, Ajayan PM (2005) Viscoelasticity in carbon nanotube composites. Nat Mater 4:134–137CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNorth Dakota State UniversityFargoUSA

Personalised recommendations