Research by a 3D modelling of the screen box flat translatory vibrations excited by a ball auto-balancer
DOI:
https://doi.org/10.15587/1729-4061.2016.85460Keywords:
vibroexciter, dual-frequency vibrations, 3D modeling, unbalance, resonant vibration machine, auto-balancer, screenAbstract
The study investigates vibrations of a screen box with its flat translational motion being excited by a ball auto-balancer.
The CAD system Solidworks is used to develop a 3D model of a vibration machine and a dual-frequency vibroexciter in the form of a ball auto-balancer.
The 3D modeling has helped establish the law of motion of the center of mass of the box. The trajectory of its motion is studied, and the tests have shown that the motion is the sum of two circular motions:
– a slow circular motion at an angular velocity of the balls’ rotation;
– a fast circular motion at an angular velocity of the rotor rotation.
The motion trajectory of the center of mass of the box is an epitrochoid. The projections of the center of mass of the box onto the coordinate axes in the motion plane allegedly change under the law of dual-frequency vibrations.
Under the assumption that the projections of the center of mass of the box produce dual-frequency vibrations, the software package Statistica for statistical analysis was used to choose the coefficients under a relevant law. Eventually, it has been established that:
– the process of determining the values of the coefficients is steady (robust), and the coefficients practically do not change with changes in the time interval;
– the amplitude of slow vibrations is directly proportional to the total mass of the balls;
– the amplitude of fast vibrations is directly proportional to the unbalance on the auto-balancer body.
For both short and long intervals of time (during several slow vibrations of the box), the discrepancy between the law of vibrations of the center of mass of the box that was found through the 3D modeling and the law of dual-frequency of vibrations found by the method of statistical analysis does not exceed 1 %.
The results of the study show that the auto-balancer works as two independent inertial vibroexciters. The first vibroexciter is formed by the balls that are closely pressed to each other. They rotate around the longitudinal axis of the shaft at the frequency of the box’s own vibrations. It generates its slow resonant circular vibrations. The second vibroexciter is formed by the unbalanced mass on the auto-balancer body. It excites a fast circular motion of the box at the speed of the shaft rotation.References
- Vlasova, V. V. (2007). Mineral processing. Irkutsk: IGTU, 159.
- Lapshin, E. S., Shevchenko, A. I. (2012). Analysis of the condition of development vibrating screening at dehydration of mineral raw materials. Geotechnical Mechanics, 101, 84–104.
- Hou, Y., Gao, J., Liang, J. (2012). Dynamics Simulation for Solid Conveyance of Dual-Frequency Vibrating Screen. Advanced Science Letters, 15 (1), 391–395. doi: 10.1166/asl.2012.4149
- Bulat, A. F., Shevchenko, G. A. (2010). Influence polyfrequency oscillation sieving surfaces of vibrating screens on separation of bulk materials. Scientific Bulletin of National Mining University, 4, 137–143.
- Filimonikhin, G. B., Yatsun, V. V. (2015). Method of excitation of dual frequency vibrations by passive autobalancers. Eastern-European Journal of Enterprise Technologies, 4 (7 (76)), 9–14. doi: 10.15587/1729-4061.2015.47116
- Filimonikhin, G. B., Yatsun, V. V. (2016). Investigation of the process of excitation of dual-frequency vibrations by ball auto-balancer of GIL 42 screen. Eastern-European Journal of Enterprise Technologies, 1 (7 (79)), 17–23. doi: 10.15587/1729-4061.2016.59881
- Filimonikhin, G., Yatsun, V., Dumenko, K. (2016). Research into excitation of dual frequency vibrational-rotational vibrations of screen duct by ball-type auto-balancer. Eastern-European Journal of Enterprise Technologies, 3 (7 (81)), 47–52. doi: 10.15587/1729-4061.2016.72052
- Artyunin, A. I., Khomenko, A. P., Eliseev, S. V., Ermoshenko, Y. V. (2015). The generalized model of vibration mechanics and nonlinear effect of "jam" of the pendulum at the resonant frequencies of the mechanical system. Mechanical Industry and Engineering Education, 1 (42), 61–67.
- Artyunin, A. I. (1993). Research of the movement of a rotor with the autobalancer. Mechanical engineering, 1, 15–19.
- Artyunin, A. I., Alhunsaev, G. G. (2005). About special regime of movement rigid rotor with elastic supports and pendulum autobalancing. Proceedings of the higher educational institutions. Mechanical Engineering, 10, 8–14.
- Artyunin, A. I., Ermoshenko, Y. V., Popov, S. I. (2015). Experimental study of the effect of "jam" of the pendulum at the resonant frequencies of the mechanical system. Modern technologies. System analysis. Modeling, 2 (46), 20–25.
- Ryzhik, B., Sperlingm, L., Duckstein, H. (2002). Display of the Sommerfeld-Effect in a Rigid Rotor One-plain Autobalancing Device. Proc. Of XXX Summer School “Advanced Problems in Mechanics”, 554–563.
- Ryzhik, B., Sperling, L., Duckstein, H. (2004). Non-synchronous Motions Near Critical Speeds in a Single-plane Autobalancing Device. Technische Mechanik, 24, 25–36.
- Lu, C.-J., Tien, M.-H. (2012). Pure-rotary periodic motions of a planar two-ball auto-balancer system. Mechanical Systems and Signal Processing, 32, 251–268. doi: 10.1016/j.ymssp.2012.06.001
- Lavendel, E. E. (1981). Vibration technique: Enchiridion. In 6 Vol. Vol. 4. Vibrating processes and machines. Moscow, 509.
- Savelov, A. A. (1960). Flat curves: Systematization, properties, applications (reference guide). Moscow: FIZMATLIT, 293.
- Halafyan, A. A. (2007). STATISTICA 6. Statistical analysis of data. Moscow: LLC "Binom-Press", 512.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Gennadiy Filimonikhin, Volodymyr Yatsun, Mihail Lichuk, Irina Filimonikhina
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
