Approaches in the development of motion sensors in the dynamics of granular media

Document Type : Original Article


Irkutsk State Transport University, 15 Chernyshevsky St., Irkutsk, 664074


For the processes implemented in the technologies of vibrational strengthening of parts, it is necessary to develop options and justify the constructive and technical schemes of measuring devices that react to the existence of special modes of interaction of the granular working medium with a vibrating surface. Development of methodological positions for the development of measuring devices for evaluating the properties of the vibrational fields of technological machines. Three directions of construction of measuring devices are considered. A signal carrying useful information is formed by changing the sound pressure in the capsule with the microphone. The variants of constructive implementation of schemes for measuring the parameters of the vibrational field are considered. The article uses analytical approaches to the theory of vibrational displacements; it proposes and studies modes with a continuous tossing and the time of approach of the medium element, multiple to the period of the oscillation of the support surface. When processing experimental results, statistical analysis methods are used. A technique for processing the sensor signal is developed and proposed with the use of programs of analysis and detection of regularities. It is shown that the processes of interaction with a continuous tossing have properties that can be reflected in the forms of self-organization of the movement of the elements of the measuring device. The article presents the results of experiments.


Google Scholar


[1]      Vibration technique: reference in 6 volumes. Ed. board: V.N. Chelomei (chair). vol.4. Vibrating machines and processes. In Ye.Ye. Lavendell (ed.) Moscow: Mashinostroenie Publ.; 1981. n.d.
[2]      G.Ja. P. Dynamics of vibrating processes. Moscow-Izhevsk RKhD Publ 2006.
[3]      Yu.R. K. Dynamics vibrohardening process: monograph. Voronezh: IPC NauchnajŠ° Kniga Publ. 2011.
[4]      L.A. Vaisberg IV. Demidov and K.S. Ivanov, Mechanics of granular media under vibration impacts: the description of the methods and mathematical modeling. Obogashenie Rud 2015;4:21–31.
[5]      Majumdar SN, Kearney MJ. Inelastic collapse of a ball bouncing on a randomly vibrating platform. Phys Rev E 2007;76:031130. doi:10.1103/PhysRevE.76.031130.
[6]      Kruelle CA. Physics of granular matter: pattern formation and applications. Rev Adv Mater Sci 2009;20:113–24.
[7]      Ford KJ, Gilchrist JF, Caram HS. Transitions to vibro-fluidization in a deep granular bed. Powder Technol 2009;192:33–9. doi:10.1016/j.powtec.2008.11.017.
[8]      Golovanevskiy VA, Arsentyev VA, Blekhman II, Vasilkov VB, Azbel YI, Yakimova KS. Vibration-induced phenomena in bulk granular materials. Int J Miner Process 2011;100:79–85. doi:10.1016/j.minpro.2011.05.001.
[9]      Eliseev AV, A.G.Pnyov, Kashuba VB, Sitov IS. Unilateral constraints in the economic interactions of the granular medium and the vibrating surface: scientific and methodological basis of the vibration hardening technology. Sist Metod Tekhnologii 2014;3:17–31.
[10]    Eliseev A V, Sel’vinskii V V, Eliseev S V. Dynamics of vibrating elements of interactions of technological systems based on unilateral constraints: monograph 2015.
[11]     Eliseev AV, Mamaev LA, Sitov IS. Some approaches to the justification scheme of inertial vibration excitation in technological machines. Sist Metod Tekhnologii 2015;4:16–24.
[12]    Sitov IS, Eliseev A V. Theoretical basis of the interaction of a particle with a vibrating surface with unilateral constraints. Sist Metod Tehnol BrGU Bratsk 2012:16.
[13]    A.P. K, S.V. E, A.G. P, A.V. E. Theoretical Foundations of vibration technology: dynamic interactions with unilateral constraints. Irkutsk: ISTU Publ., 2015. Rus. Dep. in VINITI 12.01.2016 No. 16 B2016. n.d.
[14]    Eliseev AV, Vuong QT. Some features are one dimensional vibration control field processing machines. Mod Technol Syst Anal 2016;1:33–41.
[15]    S.V. E, A.I. A, E.V. K, A.V. E. The sensor of definition of boundary parametres of interaction of bodies in vibrating systems (patent). Useful model patent 148250 RF. MPK G01P 15/09(2006/01), publ.: 27.11.2014. Bull. No.33 n.d.
[16]    L.N. B, N.V. S. Tables of mathematical statistics. Moscow: Nauka Publ. GlavnajŠ° redakcijŠ° fiziko matematicheskoi literatury 1983.