Abstract
In this article, a model of the interaction between the jaw of a vibratory jaw crusher with the rock under processing in the form of a lump material is considered. To describe the motion of the rock and its sequential fracture into finer fragments, the crushing chamber is divided into zones of equal height. In each current zone, the material to be processed breaks into smaller fractions after a definite number of loading cycles and is then moved to the next zone where it is crushed further. The material being crushed in the current zone is described by a phenomenological model that considers the viscoelastic properties and reproduces the process of the sequential fracture of the material under processing upon multiple compressions. Differential equations of the jaw movements have been derived that consider the layer-by-layer interaction with the rock under processing. The amplitudes of the vibrations of the jaw with time and the distribution of the forces over the length of the jaw have been analyzed.
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REFERENCES
Vaisberg, L.A., Zarogatskii, L.P., and Turkin, V.Ya., Vibratsionnye drobilki. Osnovy rascheta, proektirovaniya i tekhnologicheskogo primeneniya (Vibrating Crushers. Basics of Calculation, Design, and Technological Application), St. Petersburg: VSEGEI, 2004.
Muravlev, A.V. and Devyatov, A.S., Development of A.A. Ilyushin’s theory of elastoplastic processes and experimental and theoretical methods for studying the viscoplastic properties of materials under finite deformations, Probl. Mashinostr. Avtom., 2016, no. 1, p. 84.
Bondar’, V.S., Danshin, V.V., and Semenov, P.V., The simplest variant of approximation of plasticity functionals of the theory of elastoplastic processes, Probl. Mashinostr. Avtom., 2012, no. 3, p. 82.
Goncharevich, I.F. and Frolov, K.V., Teoriya vibratsionnoi tekhniki i tekhnologii (Theory of Vibration Equipment and Technology), Moscow: Nauka, 1981.
Vaisberg, L.A. and Kamenev, E.E., The relationship of structural features and physical and mechanical properties of rocks, Gorn. Zh., 2017, no. 9, p. 53.
Nagaev, R.F., Turkin, V.Ya., and Shishkin, E.V., Dynamics of a vibratory jaw crusher with a non-rigid attachment of vibration exciters, Obogashch. Rud, 2002, no. 3, p. 39.
Shishkin, E.V., Pugina, O.A., and Kazakov, S.V., Shockless vibrations of a vibrating jaw crusher with an inclined crushing chamber, Fundam. Osn. Mekh., 2016, no. 1, p. 55.
Shishkin, E.V. and Safronov, A.N., Dynamics of a vibratory jaw crusher taking into account the effect of technological load, Obogashch. Rud, 2016, no. 6, p. 39.
Arkhipov, M.N., Vetyukov, M.M., Nagaev, R.F., and Utimishev, M.M., Dynamics of a vibrating jaw crusher taking into account the effect of technological load, Probl. Mashinostr. Nadezhnosti Mash., 2006, no. 1, p. 21.
Nagaev, R.F. and Karagulov, R.R., Dynamics of a vibration machine taking into account the material being processed, Probl. Mashinostr. Nadezhnosti Mash., 2001, no. 1, p. 48.
Makarov, A.V., Investigation of the process of destruction of rocks by jaw crushers and the development of methods for improving their design, Extended Abstract of Cand. Sci. (Eng.) Dissertation, Tomsk, 2004.
Danilin, A.N., Kuznetsova, E.L., and Rabinskii, L.N., Hysteresis model for energy dissipation during vibrations of mechanical systems, Vestn. Permsk. Nats. Issled. Politekh. Univ., 2014, no. 4, p. 45
Nagaev, R.F. and Utimishev, M.M., On the movement of material in the working cavity of the vibrating jaw crusher, Probl. Mashinostr. Nadezhnosti Mash., 2002, no. 1, p. 85
Tumidiajski, T., Gawenda, T., Saramak, D., and Naziemiec, Z., Stochastic modeling and control of comminution processes in jaw crushers, IMPC 2006—Proceedings of the 23rd International Mineral Processing Congress, Istanbul, 2006
Lindqvist, M. and Evertsson, C.M., Linear wear in jaw crushers, Miner. Eng., 2003, no. 16, p. 1.
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This work was supported by the Russian Science Foundation, project no. 18-19-00708.
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Translated by O. Lotova
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Altshul, G.M., Gouskov, A.M. & Panovko, G.Y. Modeling of the Interaction between a Rock Being Processed and a Vibratory Jaw Crusher. J. Mach. Manuf. Reliab. 50, 26–33 (2021). https://doi.org/10.3103/S1052618821010052
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DOI: https://doi.org/10.3103/S1052618821010052