Synthesizing a resonance anti-phase two-mass vibratory machine whose operation is based on the Sommerfeld effect

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.217628

Keywords:

inertial vibration exciter, resonant vibrations, antiphase vibratory machine, auto-balancer, two-mass vibratory machine, Sommerfeld effect

Abstract

This paper reports the synthesized two-mass antiphase resonance vibratory machine with a vibration exciter in the form of a passive auto-balancer. In the vibratory machine, platforms 1 and 2 are viscoelastically attached to the stationary bed and are tied together viscoelastically. A passive auto-balancer is mounted on platform 2.

It has been established that the vibratory machine has two resonant frequencies and two corresponding forms of platform oscillations. Such values for the supports’ parameters have been analytically selected at which:

‒ there is an antiphase mode of motion at which platforms 1 and 2 oscillate in the opposite phase and the principal vector of forces acting on the bed (when disregarding the forces of gravity) is zero;

‒ the frequency of platform oscillations under an antiphase mode coincides with the second resonance frequency.

The antiphase mode occurs when the loads in an auto-balancer get stuck in the vicinity of the second resonance frequency, which is caused by the Sommerfeld effect.

The dynamic characteristics of a vibratory machine have been investigated by numerical methods. It has been established that in the case of small internal and external resistance forces:

‒ there are five theoretically possible modes of load jamming;

‒ the antiphase (second) form of platform oscillations is theoretically implemented under jamming modes 3 and 4;

‒ jamming mode 3 is locally asymptotically stable while jamming mode 4 is unstable;

‒ for the loads to get stuck in the vicinity of the second resonance frequency, the vibratory machine must be provided with the initial conditions close to jamming mode 3, or the rotor must be smoothly accelerated to the working frequency;

‒ the dynamic characteristics of the vibratory machine during operation can be controlled in a wide range by changing both the rotor speed and the number of loads in the auto-balancer.

The reported results are applicable for the design of resonant antiphase two-mass vibratory machines for general purposes

Author Biographies

Gennadiy Filimonikhin, Central Ukrainian National Technical University Universytetskyi ave., 8, Kropyvnytskyi, Ukraine, 25006

Doctor of Technical Sciences, Professor, Head of Department

Department of Machine Parts and Applied Mechanics

Volodymyr Yatsun, Central Ukrainian National Technical University Universytetskyi ave., 8, Kropyvnytskyi, Ukraine, 25006

PhD, Associate Professor

Department of Road Cars and Building

Andrii Kyrychenko, Central Ukrainian National Technical University Universytetskyi ave., 8, Kropyvnytskyi, Ukraine, 25006

Doctor of Technical Sciences, Professor, Dean

Andrii Hrechka, Central Ukrainian National Technical University Universytetskyi ave., 8, Kropyvnytskyi, Ukraine, 25006

PhD, Associate Professor, Head of Department

Department of Metal Cutting Machines and Systems

Kyryl Shcherbyna, Central Ukrainian National Technical University Universytetskyi ave., 8, Kropyvnytskyi, Ukraine, 25006

PhD

Department of Metal Cutting Machines and Systems

References

  1. Kryukov, B. I. (1967). Dinamika vibratsionnyh mashin rezonansnogo tipa. Kyiv: Naukova dumka, 210.
  2. Gursky, V., Kuzio, I., Korendiy, V. (2018). Optimal Synthesis and Implementation of Resonant Vibratory Systems. Universal Journal of Mechanical Engineering, 6 (2), 38–46. doi: https://doi.org/10.13189/ujme.2018.060202
  3. Zhao, J., Liu, L., Song, M., Zhang, X. (2015). Influencing Factors of Anti-Resonant Inertial Resonant Machine Vibration Isolation System. 2015 3rd International Conference on Computer and Computing Science (COMCOMS). doi: https://doi.org/10.1109/comcoms.2015.22
  4. Li, X., Shen, T. (2016). Dynamic performance analysis of nonlinear anti-resonance vibrating machine with the fluctuation of material mass. Journal of Vibroengineering, 18 (2), 978–988. Available at: https://www.jvejournals.com/article/16559
  5. Zhao, C., He, B., Liu, J., Han, Y., Wen, B. (2017). Design method of dynamic parameters of a self-synchronization vibrating system with dual mass. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-Body Dynamics, 232 (1), 3–20. doi: https://doi.org/10.1177/1464419316689643
  6. Shokhin, A. E., Panovko, G. Ya., Salamandra, K. B. (2016). On the choice of dynamic regimes for two-mass vibrating machine Vibroengineering Procedia, 8, 185–190. Available at: https://www.jvejournals.com/article/17720
  7. Sommerfeld, A. (1904). Beitrage zum dinamischen Ausbay der Festigkeislehre. Zeitschriff des Vereins Deutsher Jngeniere, 48 (18), 631–636.
  8. Yaroshevich, N., Puts, V., Yaroshevich, Т., Herasymchuk, O. (2020). Slow oscillations in systems with inertial vibration exciters. Vibroengineering PROCEDIA, 32, 20–25. doi: https://doi.org/10.21595/vp.2020.21509
  9. Lanets, O., Shpak, Ya., Lozynskyi, I., Leonovych, P. (2013). Realizatsiya efektu Zommerfelda u vibratsiynomu maidanchyku z inertsiynym pryvodom. Avtomatyzatsiya vyrobnychykh protsesiv u mashynobuduvanni ta pryladobuduvanni, 47, 12–28. Available at: http://nbuv.gov.ua/UJRN/Avtomatyzac_2013_47_4
  10. Lanets, O. S., Hurskyi, V. M., Lanets, O. V., Shpak, Ya. V. (2014). Obgruntuvannia konstruktsiyi ta modeliuvannia roboty rezonansnoho dvomasovoho vibrostola z inertsiynym pryvodom. Visnyk Natsionalnoho universytetu "Lvivska politekhnika". Dynamika, mitsnist ta proektuvannia mashyn i pryladiv, 788, 28–36. Available at: http://ena.lp.edu.ua:8080/bitstream/ntb/24646/1/6-28-36.pdf
  11. Kuzo, I. V., Lanets, O. V., Gurskyi, V. M. (2013). Synthesis of low-frequency resonance vibratory machines with an aeroinertia drive. Naukovyi visnyk Natsionalnoho hirnychoho universytetu, 2, 60–67. Available at: http://nbuv.gov.ua/UJRN/Nvngu_2013_2_11
  12. Filimonikhin, G., Yatsun, V. (2015). Method of excitation of dual frequency vibrations by passive autobalancers. Eastern-European Journal of Enterprise Technologies, 4 (7 (76)), 9–14. doi: https://doi.org/10.15587/1729-4061.2015.47116
  13. 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: https://doi.org/10.1016/j.ymssp.2012.06.001
  14. Artyunin, A. I., Eliseyev, S. V. (2013). Effect of “Crawling” and Peculiarities of Motion of a Rotor with Pendular Self-Balancers. Applied Mechanics and Materials, 373-375, 38–42. doi: https://doi.org/10.4028/www.scientific.net/amm.373-375.38
  15. Jung, D., DeSmidt, H. (2017). Nonsynchronous Vibration of Planar Autobalancer/Rotor System With Asymmetric Bearing Support. Journal of Vibration and Acoustics, 139 (3). doi: https://doi.org/10.1115/1.4035814
  16. Artyunin, A. I., Barsukov, S. V., Sumenkov, O. Y. (2019). Peculiarities of Motion of Pendulum on Mechanical System Engine Rotating Shaft. Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019), 649–657. doi: https://doi.org/10.1007/978-3-030-22041-9_70
  17. Yatsun, V., Filimonikhin, G., Dumenko, K., Nevdakha, A. (2017). Equations of motion of vibration machines with a translational motion of platforms and a vibration exciter in the form of a passive auto-balancer. Eastern-European Journal of Enterprise Technologies, 5 (1 (89)), 19–25. doi: https://doi.org/10.15587/1729-4061.2017.111216
  18. Yatsun, V., Filimonikhin, G., Dumenko, K., Nevdakha, A. (2017). Search for two-frequency motion modes of single-mass vibratory machine with vibration exciter in the form of passive auto-balancer. Eastern-European Journal of Enterprise Technologies, 6 (7 (90)), 58–66. doi: https://doi.org/10.15587/1729-4061.2017.117683
  19. Yatsun, V., Filimonikhin, G., Dumenko, K., Nevdakha, A. (2018). Search for the dual­frequency motion modes of a dual­mass vibratory machine with a vibration exciter in the form of passive auto­balancer. Eastern-European Journal of Enterprise Technologies, 1 (7 (91)), 47–54. doi: https://doi.org/10.15587/1729-4061.2018.121737
  20. Yatsun, V., Filimonikhin, G., Haleeva, A., Krivoblotsky, L., Machok, Y., Mezitis, M. et. al. (2020). Searching for the two­frequency motion modes of a three­mass vibratory machine with a vibration exciter in the form of a passive auto­balancer. Eastern-European Journal of Enterprise Technologies, 4 (7 (106)), 103–111. doi: https://doi.org/10.15587/1729-4061.2020.209269
  21. Yatsun, V., Filimonikhin, G., Pirogov, V., Amosov, V., Luzan, P. (2020). Research of anti­resonance three­mass vibratory machine with a vibration exciter in the form of a passive auto­balancer. Eastern-European Journal of Enterprise Technologies, 5 (7 (107)), 89–97. doi: https://doi.org/10.15587/1729-4061.2020.213724

Downloads

Published

2020-12-31

How to Cite

Filimonikhin, G., Yatsun, V., Kyrychenko, A., Hrechka, A., & Shcherbyna, K. (2020). Synthesizing a resonance anti-phase two-mass vibratory machine whose operation is based on the Sommerfeld effect. Eastern-European Journal of Enterprise Technologies, 6(7 (108), 42–50. https://doi.org/10.15587/1729-4061.2020.217628

Issue

Section

Applied mechanics