ABOUT SOME SPECIFIC MOTIONS OF MOVABLE OPERATING ELEMENTS IN THE VIBROIMPACT ROLL CLASSIFIER

UDC 622.74.913.1

Authors:

 V.P. Naduty, D.Sc. (Tech.), Professor,

V.F. Yagnyukov,Ph.D. (Tech.), Researcher,

I.V. Yagnyukova,Doctoral Student

(IGTM NAS of Ukraine)

Annotation.

Purpose of this study was to obtain more information on motion of movable operating elements in the vibroimpact classifier, and final purpose was to improve efficiency and productivity of the mineral processing. A considerable interest presents akinematic scheme in which a vibrating roller made in the form of a circular cylinder rolls on the inner surface of a spring-loaded square tube all points of which move circularly under the action of unbalanced vibratory drive. The studies focused on creating an analytical function, which could describe a trajectory of the roller’s mass center as close to its original as possible. Three variants of solving this problem are described. In the first variant, the analytical construction of the function is based on the integer function in a cylindrical coordinate system, in the second - on the inverse trigonometric functions such as  and  in the Cartesian coordinate system, and in the third variant – on the sum of two trigonometric functions, one of which is an exponential. The obtained results can be used for qualitative and quantitative analysis of dynamics of the movable operating elements of vibroimpact roll classifier as they can reflect nay displacements, velocities and accelerations of the pendulum points. All of these three variants are also applicable for visualization and animation of the pendulum dynamics in any user-friendly graphical environment.

Keywords:

 roll vibroimpact classifier, non-linear pendulum, regular polygon in polar coordinate system, vibrating rolling, continuous motion.

References:

  1.  Naduty, V.P., Ostapyenko, V.A. and Iagniukov, V.F. (2006), Sintez parametrov valkovyh klassifikatorov vibratsionnogo tipa [The synthesis of parameters of vibrating roller classifiers], Naukova dumka, Kiev, Ukraine.
  2. Naduty, V.P., Iegurnov, A.I. and Iagniukova, I.V. (2013), "Modernization of the vibrating roller classifier based on the vibroimpact mode application", Visnyk NTU «HPI», Ukraine, issue 57 (1030), Edition: Chemistry, Chemical Technology and Ecology, pp. 89-96.
  3. Iagniukov, V.F. (2008), "The analysis of the kinematics of executive tools of vibrating roller classifier", Geotechnical Mechanics, no. 78, pp. 261-264.
  4. Belov, A.M. "Regular polygon equations in polar coordinates", Internet resourse, http://stob2.narod.ru
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About the authors:

Naduty Volodymyr Petrovych, Doctor of Technical Sciences (D.Sc.),Professor, Head of Department of Mechanics of Mineral Processing Machines and Processes, M.S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnipropetrovsk, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Iagniukov Volodymyr Fedorovych, Candidate of Technical Sciences (Ph.D),Researcher, Researcher of Department of Mechanics of Mineral Processing Machines and Processes, M.S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnipropetrovsk, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Iagniukova Iryna Volodymyrivna, Doctoral Student,Engineer of Department of Mechanics of Mineral Processing Machines and Processes, M.S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnipropetrovsk, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

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