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Spatial synchronization of unbalanced rotors excited with paralleled and counterrotating motors in a far resonance system

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Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Dynamic characteristics of the vibration screening machinery is influenced by synchronization between induction motors. Therefore, estimating the synchronous state between the motors is a crucial process for designing the vibration screening machinery. In this paper, two rotors excited with paralleled and counterrotating motors in a far resonance system are concerned. To master the synchronization of the system, the dynamic model is firstly established; then, the synchronous condition of the system is derived with the Poincar´e method; subsequently, the synchronous stability of the system is discussed by the Hamilton principle; finally, some computation simulations are implemented to verify correctness of theoretical analysis. The research result shows that the system actuated by rotors of the identical mass is planar motion as the stable phase difference between the rotors is stabilized in the zero phase. The system actuated by nonequivalent mass rotors exhibits spatial motion as the stable phase difference stabilizes in a nonzero phase.
Słowa kluczowe
Rocznik
Strony
723--738
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
autor
  • School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
  • Key Laboratory of Oil & Gas Equipment, Ministry of Education, Southwest Petroleum University, Chengdu, China
  • School of Petroleum Engineering, Southwest Petroleum University, Chengdu, China
autor
  • School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
autor
  • School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
autor
  • School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
autor
  • School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
autor
  • School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
Bibliografia
  • 1. Balthazar J., Felix J., Brasil R., 2004, Short comments on self-synchronization of two non- -ideal sources supported by a flexible portal frame structure, Journal of Vibration and Control, JVC, 10, 12, 1739-1748
  • 2. Balthazar J., Felix J., Brasil R., 2005, Some comments on the numerical simulation of self- -synchronization of four non-ideal exciters, Applied Mathematics and Computation, 164, 2, 615-625
  • 3. Banaszewski T., Schollbach A., 1998, Vibration analysis of machines with self-synchronizing unbalance-type exciters, Aufbereitungs-Technik, 39, 8, 383-393
  • 4. Blekhman I.I., 1988, Synchronization in Science and Technology, ASME Press, New York
  • 5. Chen X.Z., Kong X.X., Zhang X.L., Li L.X., Wen B.C., 2016, On the synchronization of two eccentric rotors with common rotational axis theory and experiment, Shock and Vibration, 2016
  • 6. Czolczynski K., Perlikowski P., Stefanski A., Kapitaniak T., 2012, Synchronization of pendula rotating in different directions, Communications in Nonlinear Science and Numerical Simulation, 17, 9, 3658-3672
  • 7. Czolczynski K., Perlikowski P., Stefanski A., Kapitaniak T., 2013, Synchronization of the self-excited pendula suspended on the vertically displacing beam, Communications in Nonlinear Science and Numerical Simulation, 18, 2, 386-400
  • 8. Fang P., Hou Y.J., 2018, Synchronization characteristics of a rotor-pendula system in multiple coupling resonant systems, Proceedings of The Institution of Mechanical Engineers Part C – Journal of Mechanical Engineering Science, 232, 10, 1802-1822
  • 9. Fang P., Yang Q.M., Hou Y.J., Chen Y., 2014, Theoretical study on self-synchronization of two homodromy rotors coupled with a pendulum rod in a far-resonant vibrating system, Journal of Vibroengineering, 16, 5, 2188-2204
  • 10. Hou Y.J., Du M.J., Fang P., Zhang L., 2018, Synchronization and stability of an elastically coupled tri-rotor vibration system, Journal of Theoretical and Applied Mechanics, 55, 1, 227
  • 11. Inoue J., Araki Y., Miyaura S., 1951, Self-synchronization of mechanical system (multiple cycle), Proceedings of Japanese Mechanical Engineering Society, 42, 103-110
  • 12. Kapitaniak M., Czolczynski K., Perlikowski P., Stefanski A., Kapitaniak T., 2014, Synchronous states of slowly rotating pendula, Physics Reports, 541, 1, 1-44
  • 13. Kong X.X., Zhang X.L., Chen X.Z., Wen B.C., Wang B., 2016a, Phase and speed synchronization control of four eccentric rotors driven by induction motors in a linear vibratory feeder with unknown time-varying load torques using adaptive sliding mode control algorithm, Journal of Sound and Vibration, 370, 23-42
  • 14. Kong X.X., Zhang X.L., Chen X.Z., Wen B.C., Wang B., 2016b, Synchronization analysis and control of three eccentric rotors in a vibrating system using adaptive sliding mode control algorithm, Mechanical Systems and Signal Processing, 72-73, 432-450
  • 15. Nanha Djanan A.A., Nana Nbendjo B.R., Woafo P., 2013, Electromechanical control of vibration on a plate submitted to a non-ideal excitation, Mechanics Research Communications, 54, 72-82
  • 16. Nanha Djanan A.A., Nana Nbendjo B.R., Woafo P., 2014, Effect of self-synchronization of DC motors on the amplitude of vibration of a rectangular plate, The European Physical Journal Special Topics, 223, 813-825
  • 17. Paz M., Cole J., 1992, Self-synchronization of two unbalanced rotors, Journal of Vibration and Acoustics, 114, 1, 37-41
  • 18. Sperling L., Ryzhik B., Linz C., Duckstein H., 2000, Simulation of two-plane automatic balancing of a rigid rotor, 2nd International Conference on Control of Oscillations and Chaos (COC-2000), St. Petersburg, Russia: Elsevier
  • 19. Tang L.P., Zhu X.H., Li J.H., 2019, Effects of the synchronous variation of the static and the kinetic friction coefficients on stick-slip vibration of drillstring, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 43, 275-283, DOI: 10.1007/s40997-018-0156-y
  • 20. Wen B.C., Fan J., Zhao C.Y., 2009, Synchronization and Controled Synchronization in Engineering, Science Press, Beijing
  • 21. Xiao J.Y., Zhong S.M., Li Y.T., Xu. F., 2017, Finite-time Mittag-Leffler synchronization of fractional-order memristive BAM neural networks with time delays, Neurocomputing, 219, 431-439
  • 22. Zhang X.L., Wen B.C., Zhao C.Y., 2014, Vibratory synchronization transmission of two exciters in a super-resonant vibrating system, Journal of Mechanical Science and Technology, 28, 6, 2049-2058
  • 23. Zhang X.L., Wen B.C., Zhao C.Y., 2016, Theoretical study on synchronization of two exciters in a nonlinear vibrating system with multiple resonant types, Nonlinear Dynamics, 85, 1, 141-154
  • 24. Zhang X.L., Wen B.C., Zhao C.Y., 2017, Vibratory synchronization transmission of a cylindrical roller in a vibrating mechanical system excited by two exciters, Mechanical Systems and Signal Processing, 96, 88-103
  • 25. Zhao C.Y., Zhang Y.M., zhang X.L., 2010a, Synchronisation and general dynamic symmetry of a vibrating system with two exciters rotating in opposite directions, Chinese Physics B, 19, 3
  • 26. Zhao C.Y., Zhu H.T., Zhang Y.M., Wen B.C., 2010, Synchronization of two coupled exciters in a vibrating system of spatial motion, Acta Mechanica Sinica, 26, 477-493
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-485cc37c-a72b-486b-af36-0415228ac291
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