Viscoelastic Behaviour of Element of Particle Damper: Experimental and Numerical Study

  • B. DarabiEmail author
Research paper


This paper considers a spherical particle damper that is subjected to impact loading. An experiment using a viscoanalyser machine was performed to obtain the viscoelastic properties (Young’s modulus and loss factor) at any temperature and any frequency. This procedure extracts the master curve for the viscoelastic material. A suitable Prony series/parameters (Generalised Maxwell equation) model to represent viscoelastic behaviour is fitted to the master curve data. These Prony series are used to define the material properties of the particle in the finite element (FE) analysis. To validate the FE model, the stiffness contact property for particle is compared with Hertz contact theory. A study of the impact response of viscoelastic particles was carried out to test the ability of the Prony series in conjunction with the FE model to replicate real behaviour. The FE model was also validated using an impact/rebound experiment. The comparison between FE model and experiment shows fairly good agreement.


Damping Particle damper Viscoelastic Prony series Master curve Impact FE model 


  1. Darabi B, Rongong J (2012a) Polymeric particle dampers under steady state vertical vibrations. J Sound Vib 313:3304–3316CrossRefGoogle Scholar
  2. Darabi B, Rongong J (2012b) Amplitude dependent damping from granular viscoelastics. Modern practice in stress and vibration analysis, MPSVA. J Phys: Conf Ser 382:012026Google Scholar
  3. Ferry JD (1980) Viscoelastic properties of polymers. Wiley, HobokenGoogle Scholar
  4. Fricke Fricke JR (2000) Lodengraf damping—an advanced vibration damping technology. Sound Vib 34:22–27Google Scholar
  5. Garibaldi L, Onah HN (1996) Viscoelastic material damping technology. Becchis Osiride, TorinoGoogle Scholar
  6. Johnson KL (1985) Contact mechanics. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  7. Li K, Darby A (2006) Experiments on the effect of an impact damper on a multiple degree-of freedom system. J Vib Control 12(5):445–464CrossRefGoogle Scholar
  8. Nashif AD, Jones DI, Henderson JP (1985) Vibration damping. Wiley, HobokenGoogle Scholar
  9. Oyadiji SO (1996) Damping of vibration of hollow beams using viscoelastic spheres. Proc Smart Struct Mater Damp Isol San Diego SPIE 2720:89–98Google Scholar
  10. Pamley RJ, House JR, Brennan MJ (2001) Comparison of passive damping treatments for hollow structures. In: Proceedings of smart structures and materials: damping and isolation, Newport Beach, 2001, USA, SPIE 4331, pp 455–467Google Scholar
  11. Panossian HV (1992) Structural damping enhancement via non-obstructive particle damping technique. ASME J Vib Acoust 114:101–105CrossRefGoogle Scholar
  12. Panossian HV (2008) Non-obstructive particle damping: new experiences and capabilities. In: Proceedings of the 49th AIAA/ASME/ASCE/AHS/ASC, structures, structural dynamics and materials conferenceGoogle Scholar
  13. Papalou A, Masri SF (1996) Response of impact dampers with granular materials under random excitation. Earthq Eng Struct Dyn 25:253–267CrossRefGoogle Scholar
  14. Popplewell N, Liao M (1991) A simple design procedure for optimum impact dampers. J Sound Vib 146(3):519–526CrossRefGoogle Scholar
  15. Ramachandran S, Lesieutre G (2008) Dynamics and performance of a harmonically excited vertical impact damper. J Vib Acoust Trans ASME 130(2):1–11CrossRefGoogle Scholar
  16. Rongong JA, Tomlinson GR (2002) Vibration damping using granular viscoelastic materials. In: Proceeding of ISMA 27, noise and vibration engineering conference, Leuven, Belgium, pp 431–440Google Scholar
  17. Tschoegl W (1989) The phenomenological theory of linear viscoelastic behavior. Springer, BerlinCrossRefGoogle Scholar
  18. Wong CX, Daniel MC, Rongong JA (2009) Energy dissipation prediction of particle dampers. J Sound Vib 319:91–118CrossRefGoogle Scholar
  19. Yang MY (2003) Development of master design curves for particle impact dampers. Ph.D. Thesis, The Pennsylvania State University, USAGoogle Scholar

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© Shiraz University 2019

Authors and Affiliations

  1. 1.Central Tehran branchIslamic Azad UniversityTehranIran

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