Abstract
This paper presents a study on the damping ratio \(({\upbeta })\) used in discrete element simulations. Physical experiments are performed by dropping particles from a predetermined height. Two kinds of granular particles, aluminum and steel spheres, are used. The size of these particles are the same. The process of particle depositing under gravity is simulated using the discrete element method. The experimental observation is compared with the numerical result to identify the appropriate \({\upbeta }\). The result indicates that the appropriate damping ratio used in discrete element simulations is between 0.2 and 0.3 %. Various \({\upbeta }\) are then used in the numerical simulations to study the effect of \({\upbeta }\) on the dropping process. The final height of the sample relates to \({\upbeta }\) and the drop height. The effect of \({\upbeta }\) is more profound for small drop height. For greater drop height, the effect of \({\upbeta }\) is negligible.
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References
Cundall, P.A., Strack, O.D.L.: The development of constitutive laws for soil using the distinct element method. Numer. Methods Geomech. 1, 289–317 (1979)
Landry, H., Lague, C., Roberge, M.: Discrete element representation of manure products. Comput. Electron. Agric. 51(1), 17–34 (2006)
Ng, T.T.: Input parameters of discrete element methods. J. Eng. Mech. 132(7), 723–729 (2006)
Grima, A.P., Wypych, P.W.: Investigations into calibration for discrete element modelling of granular materials. In: Proceedings of the \(6^{\rm th}\) International Conference for Conveying and Handling of Particulate Solids, Brisbane, Australia (2009)
Grima, A.P., Wypych, P.W.: Investigation into calibration of discrete element model parameters for scale-up and validation of particle-structure interactions under impact conditions. Powder Technol. 212(1), 198–209 (2011)
Grima, A.P., Wypych, P.W.: Development and validation of calibration methods for discrete element modelling. Granul. Matter 13(2), 127–132 (2011)
Zhang, D., Whiten, W.J.: The calculation of contact forces between particles using spring and damping models. Powder Technol. 88(1), 59–64 (1996)
Grasselli, Y., Bossis, G., Goutallier, G.: Velocity-dependent restitution coefficient and granular cooling in microgravity. EPL Europhys. Lett. 86(6), 60007 (2009)
Durda, D.D., Movshovitz, N., Richardson, D.C., Asphaugb, E., Morganb, A., Rawlingsd, A.R., Vestd, C.: Experimental determination of the coefficient of restitution for meter-scale granite spheres. Icarus 211(1), 849–855 (2011)
Montaine, M., Heckel, M., Kruelle, C., Schwager, T., Pöschel, T.: Coefficient of restitution as a fluctuating quantity. Phys. Rev. E 84(4), 041306 (2011)
Imre, B., Räbsamen, S., Springman, S.M.: A coefficient of restitution of rock materials. Comput. Geosci. 34(4), 339–350 (2008)
Güttler, C., Heißelmann, D., Blum, J., Krijt, S.: Normal Collisions of Spheres: A literature survey on available experiments. arXiv:1204.0001 (2012)
King, H., White, R., Maxwell, I., Menon, N.: Inelastic impact of a sphere on a massive plane: nonmonotonic velocity-dependence of the restitution coefficient. EPL Europhys. Lett. 93(1), 14002 (2011)
Mao, K., Wang, M.Y., Xu, Z., Chen, T.: DEM simulation of particle damping. Powder Technol. 142(2), 154–165 (2004)
Fang, X., Tang, J., Luo, H.: Granular damping analysis using an improved discrete element approach. J. Sound Vib. 308(1), 112–131 (2007)
Sun, Q., Jin, F., Zhou, G.G.D.: Energy characteristics of simple shear granular flows. Granul. Matter 15(1), 119–128 (2013)
Bi, Z., Sun, Q., Jin, F., Zhang, M.: Numerical study on energy transformation in granular matter under biaxial compression. Granul. Matter 13(4), 503–510 (2011)
Bridges, F.G., Supulver, K.D., Lin, D.N.C., Knightc, R., Zafrac, M.: Energy loss and sticking mechanisms in particle aggregation in planetesimal formation. Icarus 123(2), 422–435 (1996)
Ng, T.T., Zhou, W., Ma, G., Chang, X.L.: Damping and particle mass in DEM simulations under gravity. J. Eng. Mech. 141(6), 04014167 (2014)
Ng, T.T.: Triaxial test simulations with discrete element method and hydrostatic boundaries. J. Eng. Mech. 130(10), 1188–1194 (2004)
Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Geotechnique 29(1), 47–65 (1979)
Maeda, K., Hirabayashi, H.: Influence of grain properties on macro mechanical behaviours of granular media by DEM. J. Appl. Mech. 9, 623–630 (2006)
Weir, G., Tallon, S.: The coefficient of restitution for normal incident, low velocity particle impacts. Chem. Eng. Sci. 60(13), 3637–3647 (2005)
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This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 51379161 and 51322905).
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Zhou, W., Ma, X., Ng, TT. et al. Numerical and experimental verification of a damping model used in DEM. Granular Matter 18, 1 (2016). https://doi.org/10.1007/s10035-015-0597-6
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DOI: https://doi.org/10.1007/s10035-015-0597-6