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Название Upon dynamic analysis of vibratory cone crusher based on three-mass system
DOI 10.17580/or.2016.04.07
Автор Kazakov S. V., Shishkin E. V.
Информация об авторе

REC «Mekhanobr-Tekhnika» (Russia):

Kazakov S. V., Ph. D. in Engineering Sciences, Leading Design Engineer, atom2@inbox.ru

 

St. Petersburg Mining University (Russia):
Shishkin E. V., Ph. D. in Engineering Sciences, Associate Professor, Vice-Head of Chair, shishkin_ev@spmi.ru

Реферат

A symmetrical flat dynamic design of vibratory cone crusher based on three-mass system is considered. It includes carrying body (vibrating platform) with two working organs (body and cone). Crusher’s body and cone are linked with each other through elastic system with coefficient of stiffness Сp, cone and vibrating platform — through elastic system with coefficient of stiffness Сn. Vibrating platform is supported by immovable foundation via resilient shock absorbers of negligible stiffness. Oscillations in the system under consideration are excited by a pair of self-synchronizing inertial vibration exciters, installed not on one of the working organs, as in conventional dynamic design of vibratory cone crusher, but on carrying body. The laws of pure forced oscillations of working organs and carrying body were revealed, and their amplitudefrequency characteristics were plotted, permitting to determine crusher’s optimum operating mode. This operating mode is provided with working organs’ exact antiphase oscillations at same oscillation frequency. Besides, it is shown, that at a certain disturbing frequency, carrying body becomes stationary (antiresonance), and only working organs vibrate. The latter together with elastic system Сn form so-termed dynamic absorber of carrying body. Owing to vibration absorbing effect, dynamical loads on vibration exciters’ bearings in the machine in question may be significantly decreased, also including impact loads. Moreover, application of this effect will permit to almost completely isolate foundation from unbalanced dynamic forces. A method of approximate estimate is proposed with respect to equivalent viscous resistance coefficient , permitting to take into consideration effect of crushed material upon crusher’s dynamics. The considered dynamic design of vibratory cone crusher seems to be promising for application in vibratory machines, designed for disintegration of various hard materials.

The authors are indebted to L. А. Vaisberg for helpful advice in performance of the work.
The work was performed with the financial aid from the Ministry of Education and Science of the Russian Federation for the Project No. 14.579.21.0048 UIPNI RFMEF157914X0048. R&D registration number 114093070077.

Ключевые слова Vibratory crusher, inertial vibration exciter, three-mass system, forced oscillations, amplitude-frequency characteristic, resonance, antiresonance, viscous resistance
Библиографический список

1. Rudin A. D. On the calculation of three-mass vibrating screens. Obogashchenie Rud = Mineral Processing, 1966, No. 4, pp. 28–32.
2. Vaisberg L. A. Design and calculation of vibrating machines. Vibratsii v tekhnike. Spravochnik v 6 tomakh (Vibrations in technique: a handbook in 6 volumes). Vol. 4. Vibratsionnyye protsessy i mashiny (Vibrating processes and machines). Under ed. of E. E. Lavendelis. Moscow, Mashinostroyeniye, 1981, pp. 135–145.
3. Vaisberg L. A., Kazakov S. V., Lavrov B. P. Analysis of one of promising designs of vibroimpact crusher. Obogashchenie Rud = Mineral Processing, 2006, No. 3, pp. 41–43.
4. Barzukov O. P., Vaysberg L. A., Balabat'ko L. I., Uchitel A. D. Influence of technological load on self-synchronization of vibroexciters. Obogashchenie Rud = Mineral Processing, 1978, No. 2, pp. 31–33.
5. Barzukov O. P., Vaysberg L. A. Methods of assessment and valuation of stability of vibrating screens of heavy type with two self-synchronizing vibroexciters. Obogashchenie Rud = Mineral Processing, 1982, No. 4, pp. 31–35.
6. Blekhman I. I. Teoriya vibratsionnykh protsessov i ustroystv. Vibratsionnaya mekhanika i vibratsionnaya tekhnika (Theory of vibrational processes and devices. Vibrational mechanics and vibration technics). St. Petersburg, Publishing House «Ore and Metals», 2013, 640 pp.
7. Kazakov S. V., Shishkin E. V. Dynamics of vibratory cone crusher based on three-mass system. Obogashchenie Rud = Mineral Processing, 2015, No. 6, pp. 23–27.
8. Vaisberg L. A., Zarogatskiy L. P., Turkin V. Ya. Vibratsionnyye drobilki. Osnovy rascheta, proyektirovaniya i tekhnologicheskogo primeneniya (Vibrational crushers. Bases for design, engineering and technological applications). St. Petersburg, VSEGEI, 2004, 306 pp.
9. Zniber A., Quinn D. D. Resonance capture in a damped three-degree-of-freedom system: Experimental and analytical comparison. International Journal of Nonlinear Mechanics, 2006, Vol. 41, Iss. 10, pp. 1128–1142.
10. Fidlin A., Drozdetskaya O. On the averaging in strongly damped systems: The general approach and its application to asymptotic analysis of the Sommerfeld’s effect. Book of Abstracts of IUTAM Symposium on Analytical Methods in Nonlinear Dynamics, Frankfurt, Germany, July 6–9, 2015. Germany, Technische Universität Darmstadt, 2015, pp. 19–21.
11. Sperling L., Merten F., Duckstein H. Rotation und Vibration in Beispielen zur Methode der Direkten Bewegungsteilung. Technische Mechanic, 1997, B. 17, H. 3, S. 231–243.
12. Rand R. H., Kinsey R. J., Mingori P. L. Dynamics of spinup through resonance. International Journal of Nonlinear Mechanics, 1992, Vol. 27, Iss. 3, pp. 489–502.
13. Blekhman I. I., Indeitsev D. A., Fradkov A. L. Slow motions in systems with inertial excitation of vibrations. Journal of Machinery Manufacture and Reliability, 2008, Vol. 37, No. 1, pp. 21–27.

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