Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Motion of Grinding Bodies after Their Separation from the Surface of a Drum of a Planetary Mill

  • 19 Accesses


Differential equations of motion for grinding bodies after their separation from the surface of a drum are derived. Integration of these equations yields expressions for the position of a body after separation at any moment of time.

This is a preview of subscription content, log in to check access.


  1. 1.

    Selektivnoe razrushenie materialov (Selective Failure of Materials), Revnivtsev, V.I., Ed., Moscow: Nedra, 1988.

  2. 2.

    Avvakumov, E.G., Mekhanicheskie metody aktivatsii khimicheskikh protsessov (Mechanical Methods for Activating Chemical Processes), Novosibirsk: Nauka, 1986.

  3. 3.

    John, G. and Vock, F., Modelluntersuchungen an einer Planetenkugelmuhle, Chem.-Ing.-Tech., 1965, vol. 37, no.4, pp. 411–417.

  4. 4.

    Cieslinski, W., Mlyny satelitowe, Cement Wapno Gips, 1971, vol. 26, no.4, pp. 97–100.

  5. 5.

    Zhirnov, E.N., Modern Grinding Equipment Based on the Principle of Planetary Motion and Its Classification, Fiziko-khimicheskie issledovaniya mekhanicheski aktivirovannykh veshchestv (Physicochemical Studies of Mechanically Activated Substances), Novosibirsk: Nauka, 1975, pp. 3–12.

  6. 6.

    Korber, R., Schuttgutbewegung und Entmischungserscheinungen in Planetentrommeln, Aufbereit. Tech., 1993, vol. 34, no.4, pp. 173–181.

  7. 7.

    Dmitrak, Yu.V., Theory of the Motion of Grinding Bodies and Increase in the Efficiency of Equipment for Fine Grinding of Rocks, Doctoral (Tech.) Dissertation, Moscow: Moscow Mining Inst., 2000.

  8. 8.

    Bushuev, L.P., Experimental Investigation and Problems of the Theory of Planetary Centrifugal Mills, Nauch. Dokl. Vyssh. Shkoly. Gorn. Delo, 1959, no. 2, pp. 220–226.

  9. 9.

    Dobroborskii, G.A., Lansberg, L.M., and Rabin, A.N., Determination of the Limits for the Principal Modes of Motion of Grinding Bodies in Planetary Centrifugal Mills with Vertical Axes, Izv. Vyssh. Uchebn. Zaved., Gorn. Zh., 1992, no. 12, pp. 78–81.

  10. 10.

    Bushuev, L.P., Relative Motion of a Free Particle in the Chamber of a Planetary Centrifugal Mill, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 1961, no. 2, pp. 43–50.

  11. 11.

    Vaitekhovich, P.E., Gapanyuk, D.V., and Semenenko, D.V., Conditions for Separation of a Ball from the Drum Surface in a Planetary Mill with Inner Revolution of Drums, Tr. Belaruss. Gos. Tekhnol. Univ.: Ser. Khim. Tekhnol. Neorg. Veshch., 2002, issue X, pp. 223–225.

Download references

Author information

Additional information


Translated from Teoreticheskie Osnovy Khimicheskoi Tekhnologii, Vol. 39, No. 3, 2005, pp. 334–336.

Original Russian Text Copyright © 2005 by Vaitekhovich, Khves’ko, Semenenko.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Vaitekhovich, P.E., Khves’ko, G.M. & Semenenko, D.V. Motion of Grinding Bodies after Their Separation from the Surface of a Drum of a Planetary Mill. Theor Found Chem Eng 39, 313–315 (2005). https://doi.org/10.1007/s11236-005-0080-x

Download citation


  • Differential Equation