Abstract
Particle dampers are passive devices allowing strong damping of structures vibrating in harsh environment. We investigate the energy dissipation in a rigid enclosure attached to a shaker and partially filled with particles. Our experiments match an analytical description, which we corroborate then with discrete element method simulations. We show that the loss factor does not depend on the material of the particles or their number, but heavily relies on the total mass of the embedded grains and on the driving magnitude only. Our measurements reveal the contribution of the viscous flow of air surrounding the grains to the overall loss factor of the dampers.
Similar content being viewed by others
References
Paget, A.: Vibration in steam turbine bucket sand damping by impact. Engineering 143, 305–307 (1937)
Panossian, H.V.: Non-obstructive particle damping experience and capabilities. In: Proceedings of SPIE—The International Society for Optical Engineering, vol. 4753(2), pp. 936–941 (2002)
Xia, Z., Liu, X., Shan, Y.: Application of particle damping for vibration attenuation in brake drum. Int. J. Veh. Noise Vib. 7, 178–194 (2011)
Velichkovich, A.S., Velichkovich, S.V.: Vibrationimpact damper for controlling the dynamic drillstring conditions. Chem. Pet. Eng. 37, 213–215 (2001)
Salueña, C., Pöschel, T., Espiov, S.E.: Dissipative properties of granular materials. Phys. Rev. E 59, 44224425 (1999)
Bai, X.-M., Keer, L.M., Wang, Q.J., Snurr, R.Q.: Investigation of particle damping mechanism via particle dynamics simulations. Granul. Matter 11, 417–429 (2009)
Araki, Y., Yokomichi, I., Inoue, J.: Impact dampers with granular materials: 2nd report, both sides impact in a vertical oscillating system. Bull. Jpn. Soc. Mech. Eng. 28(241), 1466–1472 (1985)
Papalou, A., Masri, S.F.: Response of impact dampers with granular materials under random excitation. Earthq. Eng. Struct. Dyn. 25, 253–267 (1996)
Papalou, A., Masri, S.F.: An experimental investigation of particle dampers under harmonic excitation. J. Vib. Control 4, 361–379 (1998)
Friend, R.D., Kinra, V.K.: Particle impact damping. J. Sound Vib. 233, 93–118 (2000)
Marhadi, K.S., Kinra, V.K.: Particle impact damping: effect of mass ratio, material and shape. J. Sound Vib. 283, 433–448 (2005)
Trigui, M., Foltete, E., Abbes, M.S., Fakhfakh, T., Bouhaddi, N., Haddar, M.: An experimental study of a multi-particle impact damper. Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 223(9), 2029–2038 (2009)
Ben Romdhane, M., Bouhaddi, N., Trigui, M., Foltete, E., Haddar, M.: The loss factor experimental characterisation of the non-obstructive particles damping approach. Mech. Syst. Signal Process. 38(2), 585–600 (2013)
Sack, A., Heckel, M., Kollmer, J.E., Pöschel, T.: Probing the validity of an effective-one-particle description of granular dampers in microgravity. Granul. Matter 17, 73–82 (2015)
Pacheco-Vázquez, F., Dorbolo, S.: Rebound of a confined granular material: combination of a bouncing ball and a granular damper. Sci. Rep. 3, 2158 (2013)
Sánchez, M., Pugnaloni, L.A.: Effective mass overshoot in single degree of freedom mechanical systems with a particle damper. J. Sound Vib. 330(24), 5812–5819 (2011)
Sánchez, M., Rosenthal, G., Pugnaloni, L.A.: Universal response of optimal granular damping devices. J. Sound Vib. 331(20), 4389–4394 (2012)
Sánchez, M., Carlevaro, C.M.: Nonlinear dynamic analysis of an optimal particle damper. J. Sound Vib. 332(8), 2070–2080 (2013)
Mehta, A., Luck, J.M.: Novel temporal behavior of a nonlinear dynamical system: the completely inelastic bouncing ball. Phys. Rev. Lett. 65(4), 393 (1990)
Douady, S., Fauve, S., Laroche, C.: Subharmonic instabilities and defects in a granular layer under vertical vibrations. Europhys. Lett. 8(7), 621–627 (1989)
Pastor, J.M., Maza, D., Zuriguel, I., Garcimartín, A., Boudet, J.-F.: Time resolved particle dynamics in granular convection. Phys. D 232(2), 128–135 (2007)
Géminard, J.-C., Laroche, C.: Energy of a single bead bouncing on a vibrating plate: experiments and numerical simulations. Phys. Rev. E 68, 031305 (2003)
Chastaing, J.-Y., Bertin, E., Géminard, J.-C.: Dynamics of bouncing ball. Am. J. Phys. 83(6), 518–524 (2015)
Géminard, J.-C., Laroche, C.: Pressure measurement in two-dimensional horizontal granular gases. Phys. Rev. E 70, 021301 (2004)
Haynes, W.M. (ed.): CRC Handbook of Chemistry and Physics, 96 edn. CRC Press/Taylor and Francis, Boca Raton (2016)
McNamara, S., Young, W.R.: Inelastic collapse and clumping in a onedimensional granular medium. Phys. Fluids A 4, 496–504 (1992)
Sen, S., Mohan, T.R.K., Pfannes, J.M.M.: The quasi-equilibrium phase in nonlinear 1d systems. Phys. A 342, 336–343 (2004)
Job, S., Melo, F., Sokolow, A., Sen, S.: Solitary wave trains in granular chains: experiments, theory and simulations. Granul. Matter 10, 13–20 (2007)
Windows-Yule, C.R.K., Rosato, A.D., Thornton, A.R., Parker, D.J.: Resonance effects on the dynamics of dense granular beds: achieving optimal energy transfer in vibrated granular systems. New J. Phys. 17(2), 023015 (2015)
Pastenes, J.C., Géminard, J.-C., Melo, F.: Interstitial gas effect on vibrated granular columns. Phys. Rev. E 89, 062205 (2014)
Allard, J.F., Henry, M., Tizianel, J., Kelders, L., Lauriks, W.: Sound propagation in air-saturated random packings of beads. J. Acoust. Soc. Am. 104(4), 2004–2007 (1998)
Dazel, O., Tournat, V.: Nonlinear biot waves in porous media with application to unconsolidated granular media. J. Acoust. Soc. Am. 127(2), 692–702 (2010)
Johnson, D.L., Koplik, J., Dashen, R.: Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid Mech. 176, 379–402 (1987)
Cundall, P., Strack, O.: A distinct element model for granular assemblies. Geotechnique 29, 47–65 (1979)
Šmilauer, V., Catalano, E., Chareyre, B., Dorofeenko, S., Duriez, J., Gladky, A., Kozicki, J., Modenese, C., Scholtès, L., Sibille, L., Stránský, J., Thoeni, K.: Yade Documentation. In: Šmilauer, V. (Ed.) The Yade Project, 1st edn (2010). http://yade-dem.org/doc/
Hertz, H.: Über die berührung fester elastischer körper. J. Reine Angew. Math. 92, 156–171 (1881)
Popov, V.L.: Contact Mechanics and Friction. Springer, Berlin (2010)
Tsuji, Y., Tanaka, T., Ishida, T.: Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technol. 71, 239–250 (1992)
Antypov, D., Elliott, J.A.: On an analytical solution for the damped hertzian spring. Europhys. Lett. 94(5), 50004 (2011)
Falcon, E., Laroche, C., Fauve, S., Coste, C.: Collision of a 1-d column of beads with a wall. Eur. Phys. J. B 5, 111–131 (1998)
Acknowledgments
Authors are grateful to Dr. B. Nennig for useful discussions on permeability of poro-granular media. The authors thanks Dr. L. A. Pugnaloni for the constructive comments on our manuscript. First author is grateful to Supméca for financial support during her stays in France.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Masmoudi, M., Job, S., Abbes, M.S. et al. Experimental and numerical investigations of dissipation mechanisms in particle dampers. Granular Matter 18, 71 (2016). https://doi.org/10.1007/s10035-016-0667-4
Received:
Published:
DOI: https://doi.org/10.1007/s10035-016-0667-4