Mathematical model of separation of magnetic ore

1Lyashko, SI, 2Zub, SI, 3Zub, SS
1Taras Shevchenko National University of Kyiv
2NSC Institute of Metrology, Kharkiv
3H. S. Skovoroda Kharkiv National Pedagogical University
Dopov. Nac. akad. nauk Ukr. 2018, 7:26-32
Section: Information Science and Cybernetics
Language: Russian

The magnetic interaction of an ore with a field in the flight is investigated. New mathematical models of a magnetic ore and the motion of a paramagnetic body in the uniform field of gravity under the influence of a magnetic force are created. Our estimates and the mathematical modelling indicate the magnetic ore separation. A scheme of the magnetic field distribution is presented. Optimization parameters are defined.

Keywords: ballistics, dynamic systems, ecology, mathematical models, optimization
  1. Lvov, E. L. (1951). The relationship between various methods of calculating static traction forces in electromagnetic systems. Trudy Moskovskogo energeticheskogo instituta. Moscow: Gosenergoizdat, Iss. 7, pp. 54-86 (in Russian).
  2. Derkach, V. G. & Datsjuk, I. S. (1947). Electromagnetic processes of ore processing form. Moscow: Metallurgizdat (in Russian).
  3. Zub, S. S. (2014). Canonical Poisson structure on T*SE(3) and the Hamiltonian mechanics of solids. Dynamics of a magnetic dipole in the external field. Dopov. Nac. akad. nauk Ukr., No. 4, pp. 37-42 (in Russian).
  4. Lyashko, S. I., Zub, S. I., Zub, S. S. Lyashko, N.I. & Chernyavskiy, A. Yu. (2016). Grid and cloud computing for the modeling of the motion of a magnetized assymmetric body in an external magnetic field. Dopov. Nac. akad. nauk Ukr., No. 9, pp. 29-36 (in Russian). doi:
  5. Dullin, H. R. & Easton, R. W. (1999). Stability of levitrons. Physica D. 126, No. 1, pp. 1-17.
  6. Zub, S. S. (2008). Mathematical model of magnetically interacting rigid bodies. Proceedings of Science. Retrieved from
  7. Zub, S. S. (2014). Magnetic levitation in orbitron system. Vopr. atom. nauk. i tehn. No. 5, pp. 168-176.
  8. Matveev, A. N. (1983). Electricity and Magnetism. Moscow: Vyssh. shkola (in Russian).
  9. Stretton, Dzh. A. (1948). Theory of electromagnetism. Moscow—Leningrad: OGIZ, Gostehizdat (in Russian).