ArticleName |
Reduction energy prediction for layer-type cone crushers |

Abstract |
A methodology and an algorithm were developed for predicting the specific energy consumption in layer-type crushing of materials in cone crushers, including the establishment of the analytical law for respective particle size distribution, the energy-size ratio, and the reduction probability function. Industrial tests for a KMD-2200T7-D layer-type crusher were completed with the establishment of its performance indicators. As a result of processing the test data, it has been shown that the Godin–Andreev law may be used to describe the particle size distribution of the crushing product and that the Rosin–Rammler law may be used to describe the crusher feed characteristics. The function has been obtained that characterizes the probability of reduction of material particles of various size classes in the mix. A mathematical model is proposed for calculating the specific energy consumption during layer-type crushing, taking into account the distribution law, the probability function, and the energy-size ratio. A program has been developed that allows increasing the number of iterations when calculating the integral. The values of reduction energy obtained in actual practice, calculated using the model, and estimated by the Bond formula have been compared. The results indicate that the specific energy consumption values obtained using the proposed model are close to the experimental data, while the Bond formula calculations render overestimated predicted energy consumption values. The optimal crusher operating mode has been established using the three key criteria of specific power consumption, yield of commercial-grade gravel fractions, and allowable content of flaky grains in the gravel fractions. |

References |
1. Andreev Е. Е., Tikhonov О. N. Crushing, grinding and preparation of raw materials for beneficiation. St. Petersburg: SPSMI (ТU), 2007. 439 p. 2. Vaisberg L. А., Zarogatskiy L. P., Safronov А. N. Vibrational disintegration as the basis of energy-saving technologies in mineral processing. *Obogashchenie Rud*. 2001. No. 1. pp. 5–9. 3. Gazaleeva G. I., Tsypin Е. F., Chervyakov S. А. Ore preparation. *Crushing, screening, beneficiation*. Еkaterinburg: ООО «UTsАО», 2014. 914 p. 4. Lagunova Yu. А. Development of scientific and technical foundations for increasing the efficiency of rock destruction «in the layer»: Dissertation... of Doctor of Engineering Sciences. Krasnoyarsk, 2009. 288 p. 5. King R. P. Modeling and simulation of mineral processing systems. 2ed. Englewood (Colorado): Society for Mining, Metallurgy, and Exploration, Inc., 2012. 492 p. 6. Napier-Munn T. J., Morrell S., Morrisson R. D., Kojovic T. Mineral comminution circuits. Their operation and optimization. Brisbane (Australia): SMI JKMRC, 2005. 413 p. 7. Fedotov P. K. Research and practice of roller-presses in ore preparation [Electronic source]. *Proc. of the XXIX IMPC, Moscow, September 17–21, 2018*. Pt. 2. Comminution & classification. Paper 73. pp. 22–28. USB flash drive. 8. Tilocca M. C., Surracco M., Maggio E., Deiana P. Sulcis coal water jet assisted comminution. *Proc. of the XVIII International coal preparation congress, Saint-Petersburg, Russia, 28 June–01 July 2016*. Cham (Switzerland): Springer, 2016. pp. 965–970. 9. Dresig H., Fidlin A. Schwingungen mechanischer antriebssysteme: Modell bildung, berechnung, analyse, synthese. Berlin: Springer Vieweg, 2014. 651 p. 10. Pedrayes F., Norniella J. G., Melero M. G., Menendez-Aguado J. M., del Coz Díaz J. J. Frequency domain characterization of torque in tumbling ball mills using DEM modelling: Application to filling level monitoring. *Powder Technology*. 2018. Vol. 323. pp. 433–444. DOI: **10.1016/j. powtec.2017.10.026**. 11. Elnikova S. P., Bratygin E. V. The evaluation of the energy efficiency of the crushing process «in the layer» in cone crushers [Electronic source]. *Proc. of the XXIX IMPC, Moscow, September 17–21, 2018*. Pt. Young Scientists Reports. Paper 45. pp. 1–9. USB flash drive. 12. Lynch А. J. Mineral crushing and grinding circuits. Their simulation, optimization, design and control. Мoscow: Nedra, 1981. 343 p. 13. Mining equipment of Uralmashzavod. Resp. comp. Boyko G. Kh. Еkaterinburg: Uralskiy Rabochiy, 2003. 240 p. 14. Tikhonov О. N. Calculation of crushing and grinding energy taking into account the size characteristics. *Obogashchenie Rud*. 2008. No. 3. pp. 10–14. 15. Hill H., Mainza A., Bbosa L., Becker M. Comparing the ore breakage characteristics of drill core and crushed ore using the JKRBT [Electronic source]. *Proc. of the XXIX IMPC, Moscow, September 17–21, 2018. Pt. 2. Comminution & classification*. Paper 568. pp. 153–162. USB flash drive. 16. Vaisberg L. А., Shuloyakov А. D. Technological capabilities of cone inertial crushers in the production of cubiform crushed stone. *Stroitelnye Materialy*. 2000. No. 1. pp. 8–9. 17. Vaisberg L. A., Kameneva E. E., Aminov V. N. Assessment of technological capabilities of control over crushed stone quality in the course of disintegration of building rocks. *Stroitelnye Materialy*. 2013. No. 11. pp. 30–34. 18. Gazaleeva G. I., Bulatov K. V., Levchenko E. N. The choosing special methods of disintegration for very complicated rare ore [Electronic source]. *Proc. of the XXIX IMPC, Moscow, September 17–21, 2018. Pt. 2. Comminution & classification*. Paper 19. pp. 1–11. USB flash drive. 19. Reference-book on ore processing. Vol. 1. Preparatory processes. Ed. О. S. Bogdanov, V. А. Оlevskiy. 2 ed., rev. and enl. Мoscow: Nedra, 1982. 366 p. 20. Revnivtsev V. I., Gaponov G. V., Zarogatskiy L. P. et al. Selective destruction of minerals. Мoscow: Nedra, 1988. 286 p. 21. Bond F. C. The third theory of comminution. *Transactions of the American Institute of Mining, Metallurgical and Petroleum Engineers*. 1952. Vol. 193. pp. 484–494. |