Development and Parameter Justification of Vibroscreen Feed Elements

  • Mikhail Doudkin
  • Alina Kim
  • Marek MłyńczakEmail author
  • Gennady Kustarev
  • Vadim Kim


The article presents research results of the screening process of bulk materials with a new vibroscreen design with additional feed elements, moreover a three-dimensional solid-state computational model, as well as the results of stress-strain state analysis of feed elements rods of vibroscreen. Changes of the traditional screen structure are shown; the use of them increases the screening process efficiency and passage intensity of lower grade of bulk material to the sieve. It is established that the most simple, accessible, effective and efficient way to increase the effectiveness of the screening is the use of additional feed elements. According to the developed mathematical model of cell screening process, numerical studies to identify the effect of process parameters on the screening kinetics carried out. It is proved that the use of additional feed elements has a significant effect on the screening process kinetics and the state evolution of fine particle concentration in the bulk layer. It increases the screening effectiveness by improving the sieve filling and reduces the screening time. It is proved the performance, possibility to use, benefits, efficiency, and prospects for further research of the new vibroscreen scheme with feed elements. Description and results of comparative experimental studies of vibroscreens with different variants of additional bulk material excitation are presented. An algorithm for solving the problem numerically using the finite element method is proposed. The obtained results were used at the designing stage of the platform with feed elements for industrial vibroscreen and subsequently confirmed in work in a real experiment. The stress–strain state of feed elements rods were analyzed for various bulk materials, conditionally designated A and B, sorted by vibrating screen, where feed elements were mounted. These materials, in screening process with varying strength, acted on feed elements rods, the parameters of which did not change for the flow of various bulk materials. Rods perceived this load pressing in different ways, which was shown by the finite element analysis.


Bulk material Screening process Vibroscreen Feed elements 

Conventional Designations


The material layer under the sieve


The thickness of the elementary layer


The height of material (m)


The probability of particles transition up to


The probability of particles transition down to


The probability of particles stay at the cell


Cell number


Number of transition


Time of transition from one state (cell) only to another, but not is possible further (s)


Time for passing of all layer of material to the sieve (s)


Current moments of time, i.e. the actual finding of a particle in space (s)


Transition probabilities matrix


Convective component


Dimensional segregation speed (m/s)


Dimensional dispersion coefficient (macrodiffusion factor) (m2/s)


Symmetrical purely random component with zero expectation


The probability of particles penetration through the sieve


The probabilities of the fact, that at any given time the particle will be in i-cell


State of the cells chain


  1. 1.
    Kim, A., Doudkin, M., Vavilov, A., Guryanov, G.: New vibroscreen with additional feed elements. Arch. Civil Mech. Eng. 17(4), 786–794 (2017). Scholar
  2. 2.
    Stryczek J., Banaś M., Krawczyk J., Marciniak L., Stryczek P.: The fluid power elements and systems made of plastics. Procedia Eng. 176, 600–609 (2017) (Elsevier Ltd.). Scholar
  3. 3.
    Doudkin, M., Pichugin, S., Fadeev, S.: Contact force calculation of the machine operational point. Life Sci. J. 10(39), 246–250. (2013)
  4. 4.
    Doudkin, M., Vavilov, A., Pichugin, S., Fadeev, S.: Calculation of the interaction of working body of road machine with the surface. Life Sci. J. 133, 832–837. (2013)
  5. 5.
    Giel, R., Młyńczak, M., Plewa, M.: Evaluation method of the waste processing system operation. In: Risk, Reliability and Safety: Innovating Theory and Practice—Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016, Glasgow, Scotland, 25–29 Sept, pp. 912–917Google Scholar
  6. 6.
    Fedotov, A.I., Młyńczak, M.: Simulation and experimental analysis of quality control of vehicle brake systems using flat plate tester. In: Dependability Engineering and Complex Systems: Proceedings of the Eleventh International Conference on Dependability and Complex Systems DepCoS-RELCOMEX, Advances in Intelligent Systems and Computing, June 27–July 1, 2016, Brunów, Poland, pp. 135–146Google Scholar
  7. 7.
    Bojko, A., Fedotov, A. I., Khalezov, W. P., Młyńczak, M.: Analysis of brake testing methods in vehicle safety. In: Nowakowski, T. et al. (eds.) Safety and Reliability: Methodology and Applications. Proceedings of the European Safety and Reliability Conference, ESREL 2014, Wroclaw, Poland, 14–18 Sept 2014, Leiden: CRC Press/Balkema, cop, 933–937 (2015)CrossRefGoogle Scholar
  8. 8.
    Surashev, N., Dudkin, M., Yelemes, D., Kalieva, A.: The planetary vibroexciter with elliptic inner race. Adv. Mater. Res. 694697, 229–232. Trans Publications, Switzerland (2013).
  9. 9.
    Doudkin, M.V., Fadeyev, S.N., Pichugin, S.Y.: Studying the machines for road maintenance. Life Sci. J. 10(12s), 134–138. (ISSN:1097-8135) (2013)
  10. 10.
    Doudkin, M.V., Pichugin, S.Y.U., Fadeyev, S.N.: The analysis of road machine working elements parameters. World Appl. Sci. J. 23(2): 151–158 (2013). IDOSI Publications. (ISSN/E-ISSN: 1818-4952/1991-6426)
  11. 11.
    Doudkin, M., Kim, A., Kim, V.: Application of finite elements method for modeling and analysis of feed elements stresses of the vibroscreen. In: Proceedings of the 14th International Scientific Conference: Computer Aided Engineering,8 p. Politechnika Wrocławska (2018)Google Scholar
  12. 12.
    Detyna, J.: Maximum entropy as a theoretical criterion of statistical description of the granular matter separation. Publisher House Oficyna Wydawnicza Politechniki Wroclawskiej, Wroclaw (2007)Google Scholar
  13. 13.
    Molerus, O.: Stochastisches Modell der Gleichgewichtsichtung. Chem. Ing. Tec. 39(13), 792–796 (1967)CrossRefGoogle Scholar
  14. 14.
    Ogurtsov, V.: Stochastic model of screening particles distribution in the layer of particulate material during vibration screening. Build. Mater. 11, 38–39 (2007)Google Scholar
  15. 15.
    Kim-Vainberger, A., Doudkin, M., Vavilov, A., Guriyanov, G.: Inventors; Assignee. Vibrating screen. Innovative Patent of the Republic of Kazakhstan No. 31145. 17 April 2015Google Scholar
  16. 16.
    Detyna, J., Bieniek, J.: Methods of statistical modeling in the process of sieve separation of heterogeneous particles. Appl. Math. Model. 32, 992–1002 (2008)CrossRefGoogle Scholar
  17. 17.
    Detyna, J.: Stochastic models of particle distribution in separation processes. Arch. Civil Mech. Eng. 10, 15–26 (2010)CrossRefGoogle Scholar
  18. 18.
    Zhuravlev, A.: Condition of nonmetallic building materials industry and its development prospects. Building Materials 11, 4–6 (2007)Google Scholar
  19. 19.
    Doudkin, M., Kim, A., Kim, V.; Application of FEM method for modeling and strength analysis of FEED elements of vibroscreen. In: Proceedings of the 14th International Scientific Conference on Computer Aided Engineering, June 2018. Series: Lecture Notes in Mechanical Engineering, 892 p. Wroclaw, Poland (2019)Google Scholar
  20. 20.
    Weisberg, L.: Design and calculation of vibrating screens. Publisher House Nedra, Moscow (1986)Google Scholar
  21. 21.
    Doudkin, M., Kim, A., Kim, V., Mlynczak, M., Kustarev, G.: Computer modeling application for analysis of stress-strain state of vibroscreen feed elements by finite elements method. In: Proceedings of Mathematical Modeling of Technological Processes International Conference, CITech 2018, Ust-Kamenogorsk, Kazakhstan. 25–28 Sept 2018, pp. 82–96. Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Mikhail Doudkin
    • 1
  • Alina Kim
    • 1
  • Marek Młyńczak
    • 2
    Email author
  • Gennady Kustarev
    • 3
  • Vadim Kim
    • 1
  1. 1.Faculty of Mechanical EngineeringEast Kazakhstan State Technical UniversityUst-KamenogorskKazakhstan
  2. 2.Faculty of Mechanical EngineeringWroclaw University of Science and TechnologyWroclawPoland
  3. 3.Faculty of Road and Technological MachineryMoscow Automobile and Road Construction State Technical University (MADI)MoscowRussia

Personalised recommendations