ARTICLE
Self-synchronization of drive vibrators of an antiresonance vibratory conveyor
 
More details
Hide details
1
AGH University of Science and Technology, Department of Mechanical Engineering and Robotics, Cracow, Poland
 
 
Submission date: 2023-02-03
 
 
Final revision date: 2023-06-12
 
 
Acceptance date: 2023-06-29
 
 
Online publication date: 2023-09-18
 
 
Publication date: 2023-10-30
 
 
Corresponding author
Grzegorz Cieplok   

Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Poland
 
 
Journal of Theoretical and Applied Mechanics 2023;61(4):729-739
 
KEYWORDS
TOPICS
ABSTRACT
A theoretical analysis of synchronization of inertial vibrators of a vibratory conveyor with a dynamic damper is presented in this paper. It is shown that for the over-resonance regime and counter-running drive vibrators, there is only one stable state of the system warranting formation of necessary sectional vibrations of the trough. The analytical form of the momentsynchronizing vibrators is also determined, and on the basis of this, the influence of angular vibrations of the body on the synchronizing process of the drive vibrators is determined. Due to the differences in the participation of angular vibrations in the self-synchronizing process in relation to classical solutions, the presented results fundamentally influence the design of long antiresonance conveyors.
 
REFERENCES (25)
1.
Asami T., 2019, Exact algebraic solution of an optimal double-mass dynamic vibration absorber attached to a damped primary system, Journal of Vibration and Acoustics, 141, 5, 051013.
 
2.
Ascari A., 1980, The transient behaviour of the dynamic vibration absorber for linear frequency rise, Meccanica, 15, 2, 107-111.
 
3.
Blekhman I.I., 1971, Sinkhronizatsiya dinamicheskikh sistem (Synchronisation of Dynamic Systems, in Russian), Nauka, Moscow.
 
4.
Blekhman I.I., 2000, Vibrational Mechanics, World Scientific.
 
5.
Chedjou J.C., Kyamakya K., Mathis W., Moussa I., Fomethe A., Fono V.A., 2008, Chaotic synchronization in ultra-wide-band communication and positioning systems, Journal of Vibration and Acoustics, 130, 1, 011012.
 
6.
Cieplok G., Wójcik K., 2020, Conditions for self-synchronization of inertial vibrators of vibratory conveyors in general motion, Journal of Theoretical and Applied Mechanics, 58, 2, 513-524.
 
7.
Czubak P., Gajowy M., 2022, Influence of selected physical parameters on vibroinsulation of base-exited vibratory conveyors, Open Engineering, 12, 1, 382-393.
 
8.
Dimentberg M.F., McGovern L., Norton R.L., Chapdelaine J., Harrison R., 1997, Dynamics of an unbalanced shaft interacting with a limited power supply, Nonlinear Dynamics, 13, 2, 171-187.
 
9.
Fang P., Zou M., Peng H., Du M., Hu G., Hou Y., 2019, Spatial synchronization of unbalanced rotors excited with paralleled and counterrotating motors in a far resonance system, Journal of Theoretical and Applied Mechanics, 57, 3, 723-738.
 
10.
Fasana A., Giorcelli E., 2010, A vibration absorber for motorcycle handles, Meccanica, 45, 1, 79-88.
 
11.
Frahm H., 1911, Device for Damping Vibrations of Bodies, U.S. Patent 989958.
 
12.
Gajowy M., 2019, Operational properties of vibratory conveyors of the anti-resonance type, 2019 20th International Carpathian Control Conference (ICCC), 17.
 
13.
Hou Y., Du M., Fang P., Zhang L., 2017, Synchronization and stability of an elastically coupled tri-rotor vibration system, Journal of Theoretical and Applied Mechanic, 55, 1, 227-240.
 
14.
KMCGlobalEurope, 2020, Antyrezonansowy przenośnik wibracyjny, PL Patent P.434041.
 
15.
Li Y., Ren T., Meng X., Zhang M., Zhao P., 2020, Experimental and theoretical investigation on synchronization of a vibration system flexibly driven by two motors, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 234, 13, 2550-2562.
 
16.
Michalczyk J., Cieplok G., 2014, Disturbances in self-synchronisation of vibrators in vibratory machines, Archives of Mining Sciences, 59, 1, 225-237.
 
17.
Paz M., Cole J.D., 1992, Self-synchronization of two unbalanced rotors, Journal of Vibration and Acoustics, 114, 1, 37-41.
 
18.
Shokhin A.E., Krestnikovskii K.V., Nikiforov A.N., 2021, On self-synchronization of inertial vibration exciters in a vibroimpact three-mass system, IOP Conference Series: Materials Science and Engineering, 1129, 1, 012041.
 
19.
Smirnova V.B., Proskurnikov A.V., 2021, Self-synchronization of unbalanced rotors and the swing equation, IFAC-PapersOnLine, 54, 17, 71-76, 6th IFAC Conference on Analysis and Control of Chaotic Systems, Chaos.
 
20.
Surówka W., Czubak P., 2021, Transport properties of the new vibratory conveyor at operations in the resonance zone, Open Engineering, 11, 1, 1214-1222.
 
21.
Zhang N., Wu S., Li Y., 2019, Synchronous behavior analysis of two rotors in self-synchronization system, IOP Conference Series: Materials Science and Engineering, 631, 3, 032013.
 
22.
Zhang X., Wen B., Zhao C., 2016, Theoretical study on synchronization of two exciters in a nonlinear vibrating system with multiple resonant types, Nonlinear Dynamics, 85, 1, 141-154.
 
23.
Zhao C., Zhao Q., Gong Z., Wen B., 2011, Synchronization of two self-synchronous vibrating machines on an isolation frame, Shock and Vibration, 55, 1-2, 73-90.
 
24.
Zhao C., Zhu H., Zhang Y., Wen B., 2010, Synchronization of two coupled exciters in a vibrating system of spatial motion, Acta Mechanica Sinica, 26, 477-493.
 
25.
Zou M., Fang P., Hou Y., Chai G., Chen J., 2020, Self-synchronization theory of tri-motor excitation with double-frequency in far resonance system, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 234, 16, 3166-3184.
 
eISSN:2543-6309
ISSN:1429-2955
Journals System - logo
Scroll to top