Optimization of Parameters of Two-component Vibration With Piecewise Acceleration in Vibratory Conveying Devices

2024;
: pp. 19 - 30
1
Hetman Petro Sahaidachnyi National Army Academy

Aim. Study of the parameters of two-component vibration, which ensure the maximum conveying velocity at the specified amplitude and frequency of vibration. Method. Research of the vibratory conveying process was carried out by the step-by-step integration method. Results. The optimal values of the parameters of  two-component vibration for normal oscillations with piecewise constant acceleration and longitudinal harmonic oscillations were determined. The scientific novelty and practical significance. A technique for determining the velocity-optimal parameters of two-component vibration during non-hopping conveying has been developed.

  1. Boothroyd G. Assembly Automation and Product Design. – London: Taylor and Francis Ltd. – 2005. ISBN-10:  9781574446432. doi.org/10.1201/9781420027358
  2. Automation Devices, Inc. Vibratory Parts Feeding Systems. – URL: www.autodev.com/vibratory-parts- feeding-systems/
  3. Balaji B., Burela R. G., Ponniah G. Dynamics of Part Motion on a Linear Vibratory Feeder, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. – 2022. – Vol. 236. – N. 2. – P. 886–893. – URL: http://doi.org/10.1177/09544062211012711
  4. Kruyt N. P., Sloot E. M.,Theoretical and Experimental Study of the Transport of Granular Materials by Inclined Vibratory Conveyors. Powder Technology. – 1996. – N 87. – P. 203–210. – URL: https://doi.org/10.1016/0032-5910(96)03091-4
  5. Okabe S., Yokoyama Y., Jimbo J. Vibratory Conveying by Elliptical Vibration. Journal of the Japan Society of Precision Engineering. – 1974. – N 40 (10). – P. 840–845.
  6. Kurita Y., Matsumura Y., Umezuka S., Nakagawa J. Separation and Transportation by Elliptical Vibration (The Case of Vertical Vibration under the Jump Limit). Journal of Environment and Engineering. – 2010. – Vol. 5. – N 2. – P. 240–252. – URL: http://doi.org/10/1299/jee 5.40
  7. Vrublevskyi I. The Phase Difference between Components of Elliptical Oscillations of Vibratory Conveyor Providing Maximum Conveying Velocity. Ukrainian Journal of Mechanical Engineering and Materials Science.  – 2015. –Vol. 1. – N 1. – P. 47–54.
  8. Dallinger N., Risch T., Nendel K. Simulation of Conveying Processes in Vibratory Conveyors. Logistics Journal Proceedings. – 2012.
  9. Okabe S., Kamiya Y., Tsujikado K., Yokoyama Y. Vibratory Feeding by Nonsinusoidal Vibration – Optimum Wave Form. Journal of Vibration, Acoustic, Stress and Reliability Design. – 1985. – N 107. – P. 188–195. – URL:  https://doi.org/10.1115/1.3269243
  10. Guo B., Duan Z., Zheng J., He Y. Analysis of Material Movement of Non-harmonic Horizontally Vibrated Conveyer, Jixie Gongcheng Xuebao. Journal of Mechanical Engineering. – 2012. – Vol. 48. – N 1. – P. 104– 110. – URL: http://doi.org/10/3901/jme.2012.01.104
  11. Vrublevskyi I. Vibratory Conveying by Harmonic Longitudinal and Polyharmonic Normal Vibrations of Inclined Conveying Track, Transactions of the ASME. Journal of Vibration and Acoustics. – 2022. – Vol. 144. – N 1, 01 1004. – P. 1–7. – URL: https://doi.org/10.1115/1.4051228
  12. Umbanhowar P., Lynch K. M. Optimal Vibratory Stick-slip Transport. IEEE Transactions on Automation Science and Engineering. – 2008. – P. 7–13. – URL: https://doi.org/10.1109/TASE. – 2008.917021
  13. Lavendel E. Synthesis of Optimal Vibro-machines.  – Riga: Zinatne, 1970.
  14. Meirovitch L. Principles and Techniques of Vibrations.  Pearson Education Canada. – 1997.
  15. Vrublevskyi I. Vibratory Conveying by Normal Oscillations with Piecewise Constant Acceleration and Longitudinal Harmonic Oscillations, International Journal for Engineering Modelling – University of Split. – 2024. – Vol. 37. – N 1. – P. 6274. – URL: https:// doi: 10.31534/engmod.2024.1.ri.05v
  16. Vrublevskyi I. Optimization of Vibratory Conveying Upward by Inclined Track with Polyharmonic Normal Vibration. Ukrainian Journal of Mechanical Engineering and Materials Science. – 2020. – Vol. 6. – N 2. – P. 34–42. – URL: https://doi.org/10.23939/ujmems2020.02.034