On a Problem of Resonance Mode Tuning for Vibration Machines

Authors: Panovko G.Ya., Shokhin A.E., Eremeykin S.A. Published: 03.08.2017
Published in issue: #4(115)/2017  

DOI: 10.18698/0236-3941-2017-4-106-111

Category: Mechanical Engineering and Machine Science | Chapter: Machines, Units and Technological Processes  
Keywords: mechanical system, oscillations, resonance, asynchronous electric motor, limited capacity, simulation, control system

The paper deals with stabilization of resonance oscillations modes in mechanical systems excited by unbalanced rotors of electric motors of an asynchronous type. We examine the issues by constructing a "dynamic portrait" of the system. We suggest using a numerical algorithm for controlling the excitation frequency with a change in the mass of the system, the algorithm being based on measuring the phase shift between the oscillations of the system and the disturbing force. We give the results of numerical simulation of the tuning process for the resonance oscillations mode with a slow change in the mass of the system.


[1] Blekhman I.I. Vibrational mechanics: nonlinear dynamic effects, general approach, applications. Singapore, New Jersey, London, Hong Kong, World Scientific Publishing Co. Pte. Ltd., 2000. 509 p.

[2] Vaysberg L.A. Proektirovanie i raschet vibratsionnykh grokhotov [Designing and calculation of vibrational screens]. Moscow, Nedra Publ., 1986. 144 p.

[3] Rand R.H., Kinsey R.J., Mingori D.L. Dynamics of spinup through resonance. Intern. J. of Nonlinear Mechanics, 1992, vol. 27, no. 3, pp. 489-502.

[4] Fidlin A. Nonlinear oscillations in mechanical engineering. Berlin, Heidelberg, Springer-Verlag, 2006. 358 p.

[5] Tomchina O.P. Passing through resonances in vibratory actuators by speedgradient control and averaging. Proc. 1st Int. Conf. Control of Oscillations and Chaos. Vol. 1. 1997, St. Petersburg, pp. 138-141 (in Russ.). DOI: 10.1109/COC.1997.633518 Available at: http://ieeexplore.ieee.org/document/633518/

[6] Boikov V., Andrievsky B., Shiegin V. Experimental study of unbalanced rotors synchronization of the mechatronic vibration setup. Cybernetics and Physics, 2016, vol. 5, no. 1, pp. 5-11. Available at: http://lib.physcon.ru/doc?id=370c87090b0b

[7] Panovko G., Shokhin A., Eremeykin S. An algorithm for automatic adjustment of the vibrational technological machine to the resonant regime. Vibroengineering PROCEDIA, 2014, vol. 3, pp. 100-104.

[8] Sokolovskiy G.G. Elektroprivody peremennogo toka s chastotnym regulirovaniem [AC-drives with frequency regulation]. Hoscow, Academia Publ., 2006. 265 p.

[9] Niselovskaya E.V., Panovko G.Ya., Shokhin A.E. Oscillations of the mechanical system, excited by unbalanced rotor of induction motor. Journal of Machinery Manufacture and Reliability, 2013, vol. 42, no. 6, pp. 457-462. DOI: 10.3103/S1052618813060083 Available at: http://link.springer.com/article/10.3103/S1052618813060083

[10] Panovko G.Ya., Shokhin A.E., Eremeykin S.A. Experimental analysis of the oscillations of a mechanical system with self-synchronized inertial vibration exciters. Journal of Machinery Manufacture and Reliability, 2015, vol. 44, no. 6, pp. 492-496. DOI: 10.3103/S1052618815060114 Available at: http://link.springer.com/article/10.3103/S1052618815060114