ARTICLE
Conditions for self-synchronization of inertial vibrators of vibratory conveyors in general motion
| 1 | AGH University of Science and Technology, The Faculty of Mechanical Engineering and Robotics, Krakow, Poland |
CORRESPONDING AUTHOR
Grzegorz Cieplok
Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Poland
Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Poland
Submission date: 2019-12-01
Final revision date: 2020-02-03
Acceptance date: 2020-02-25
Online publication date: 2020-04-15
Publication date: 2020-04-15
Journal of Theoretical and Applied Mechanics 2020;58(2):513–524
KEYWORDS
TOPICS
ABSTRACT
The paper concerns the analysis of a self-synchronization process of inertial vibrators in
general motion. These types of systems are found e.g. in the case of vibratory conveyors, in
which the synchronization plane of vibrators is perpendicular to the plane of vibration of
the conveyor trough. The analysis is focused on two basic issues related to movement of the
vibrator. The first issue concerns conditions for obtaining stable motion in a configuration
ensuring generation of useful vibrations. The second one is determination of the value of the
synchronizing moment. In order to obtain analytical dependencies as simply as possible, we
considered a typical build conveyor and the suspension, whose mathematical description we
can bring to a diagonal form.
In the paper, we paid attention to the consequences of using suspensions with highly directional
properties, e.g. metal-elastomer vibration isolators.
REFERENCES (18)
2.
Blekhman I.I., 2000, Vibrational Mechanics: Nonlinear Dynamics Effects, General Approach, Applications, World Scientific Publishing Co. Pte. Ltd.
3.
Cieplok G., 2009, Verification of the nomogram for amplitude determination of resonance vibrations in the run-down phase of a vibratory machine, Journal of Theoretical and Applied Mechanics, 47, 2, 295-306.
4.
Cieplok G., 2018, Estimation of the resonance amplitude in machines with inertia vibrator in the coast-down phase, Mechanics and Industry, 19, 1, 1-9.
5.
Fang P., Hou Y., Nan Y., 2015, Synchronization of two homodromy rotors installed on a double vibro-body in a coupling vibration system, PLOS ONE, 10, 5, 1-22,.
6.
Francke M., Pogromsky A., Nijmeijer H., 2020, Huygens’ clocks: sympathy and resonance, International Journal of Control, 93, 2, 274-281.
7.
Goncharevich I.F., Frolov K.V., 1990, Theory of Vibratory Technology, Hemisphere Publishing Corporation. New York, Philadelphia.
8.
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.
9.
Karmazyn A., Balcerzak M., Perlikowski P., Stefanski A., 2018, Chaotic synchronization in a pair of pendulums attached to driven structure, International Journal of Non-Linear Mechanics, 105, 261-267.
10.
Michalczyk J., 1995, Vibrating Machines. Dynamic Calculations, Vibrations, Noise (in Polish), Wydawnictwo Naukowo-Techniczne, Warszawa.
11.
Michalczyk J., 2012, Inaccuracy in self-synchronisation of vibrators of two-drive vibratory machines caused by insufficient stiffness of vibrators mounting, Archives of Metallurgy and Materials, 57, 3, 823-828.
12.
Michalczyk K., 2017, Natural transverse vibrations of helical springs in sections covered with elastic coatings, Bulletin of the Polish Academy of Sciences: Technical Sciences, 65, 6, 949-959.
13.
Michalczyk K., Bera P., 2019, A simple formula for predicting the first natural frequency of transverse vibrations of axially loaded helical springs, Journal of Theoretical and Applied Mechanic, 57, 3, 779-790.
14.
Michalczyk J., Cieplok G., 2014, Disturbances in self-synchronisation of vibrators in vibratory machines, Archives of Mining Sciences, 59, 1, 225-237.
15.
Michalczyk J., Pakuła S., 2016, Phase control of the transient resonance of the automatic ball balancer, Mechanical Systems and Signal Processing, 72-73, 254-265.
16.
Sikora W., Michalczyk K., Machniewicz T., 2016, A study of the preload force in metalelastomer torsion springs, Acta Mechanica et Automatica, 10, 4, 300-305.
17.
Sikora W., Michalczyk K., Machniewicz T., 2018, Numerical Modelling of Metal-Elastomer Spring Nonlinear Response for Low-Rate Deformations, Acta Mechanica et Automatica, 12, 1, 31-37.
18.
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.
