Abstract
A mathematical model of two masses vibrating screen with nonlinear elastic and dissipative ties working under ideal harmonic excitation is considered. The focus of the article is the study of the stationary movements in the “antiresonance” zone between the two natural frequencies. Using harmonic balance method the construction and analysis of bifurcation diagrams of this dynamical system are carried out, the stability factor of chosen regimes is appreciated with the help of their basins of attraction. The spectral and phase composition of the 2:1 superharmonic regimes is demonstrated, technological parameters of such machines are evaluated.
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Vaisberg, L.A., Korovnikov, A.N.: Fine screening as alternative of hydraulic classification by size Concentration 3, 23–34, (In Russian) (2004)
Goncharevich, I.F.: Increase of productivity and profitability of industrial nanotechnologies. Moscow: RIA, Section “Mining”, 2010, Available via, http://www.engineeracademy.ru/otrasli/mining, (In Russian) (2010)
Multi-frequency vibromachines. Materials of the site “Kroosh Tecnologies Ltd.”, 2010, http://www.kroosh.ru (In Russian) (2010)
Bukin, S.L., Maslov, S.G., Luity, A.P., Reznichenko, G.L.: Intensification of technological processes of vibrating machines by realization of biharmonic working regimes. Concentration Miner.: Sci. Tech. Collect. 36(77), 37(78), 81–89, (In Ukrainian) (2009)
Vibrations in engineering: Handbook in 6 volumes. Vol. 4. Vibration processes and machines. In: Lavendel, E.E. (ed.) Moscow: Mashinostroenie, p. 509, (In Russian) (1981)
Belovodskiy, V.N., Sukhorukov, M.Y.: Combination resonances and their bifurcations in the nonlinear vibromachines with a polynomial characteristic of restoring force and periodic excitation, vibration Problems ICOVP 2011. The 10th International Conference on Vibration Problems, Series: Springer Proceedings in Physics, Vol. 139, Springer Science + Business Media, pp. 235–240 (2011)
Jakubovish, V.A., Starjinskiy, V.M.: Linear differential equations with periodic coefficients and their applications. Moscow: Nauka, p. 720, (In Russian) (1972)
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Belovodskiy, V.N., Bukin, S.L., Sukhorukov, M.Y. (2012). Nonlinear Antiresonance Vibrating Screen. In: Beran, J., Bílek, M., Hejnova, M., Zabka, P. (eds) Advances in Mechanisms Design. Mechanisms and Machine Science, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5125-5_22
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DOI: https://doi.org/10.1007/978-94-007-5125-5_22
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