Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2016, Article ID 8641754, 22 pages
http://dx.doi.org/10.1155/2016/8641754
Research Article

Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration

School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, China

Received 30 May 2015; Accepted 28 September 2015

Academic Editor: Tai Thai

Copyright © 2016 Yongjun Hou and Pan Fang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. I. Blekhman, Synchronization in Science and Technology, ASME Press, New York, NY, USA, 1988.
  2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization—A Universal Concept in Nonlinear Sciences, Cambridge University Press, 2001.
  3. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, “Synchronization in complex networks,” Physics Reports, vol. 469, no. 3, pp. 93–153, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. H. Zhang, X.-Y. Wang, X.-H. Lin, and C.-X. Liu, “Stability and synchronization for discrete-time complex-valued neural networks with time-varying delays,” PLoS ONE, vol. 9, no. 4, Article ID e93838, 2014. View at Publisher · View at Google Scholar · View at Scopus
  5. W.-J. Yuan and C. Zhou, “Interplay between structure and dynamics in adaptive complex networks: emergence and amplification of modularity by adaptive dynamics,” Physical Review E, vol. 84, no. 1, Article ID 016116, 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Peña Ramirez, K. Aihara, R. H. B. Fey, and H. Nijmeijer, “Further understanding of Huygens' coupled clocks: the effect of stiffness,” Physica D: Nonlinear Phenomena, vol. 270, pp. 11–19, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. V. Jovanovic and S. Koshkin, “Synchronization of Huygens clocks and the Poincaré method,” Journal of Sound and Vibration, vol. 331, no. 12, pp. 2887–2900, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. P. Koluda, P. Perlikowski, K. Czolczynski, and T. Kapitaniak, “Synchronization configurations of two coupled double pendula,” Communications in Nonlinear Science and Numerical Simulation, vol. 19, no. 4, pp. 977–990, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. R. Dilão, “Anti-phase synchronization and ergodicity in arrays of oscillators coupled by an elastic force,” The European Physical Journal: Special Topics, vol. 223, no. 4, pp. 665–676, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Marcheggiani, R. Chacón, and S. Lenci, “On the synchronization of chains of nonlinear pendula connected by linear springs,” The European Physical Journal: Special Topics, vol. 223, no. 4, pp. 729–756, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. B. C. Wen, J. Fan, and C. Y. Zhao, Synchronization and Controled Sychronization in Engineering, Science Press, Beijing, China, 2009.
  12. L.-P. Zhang, H.-B. Jiang, and Q.-S. Bi, “Reliable impulsive synchronization for a class of nonlinear chaotic systems,” Chinese Physics B, vol. 19, no. 1, Article ID 010507, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  13. X. Zhang, B. Wen, and C. Zhao, “Vibratory synchronization and coupling dynamic characteristics of multiple unbalanced rotors on a mass-spring rigid base,” International Journal of Non-Linear Mechanics, vol. 60, pp. 1–8, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. P. Fang, Y. Hou, Y. Nan, and Z. Wang, “Synchronization of two homodromy rotors installed on a double vibro-body in a coupling vibration system,” PLoS ONE, vol. 10, no. 5, Article ID e0126069, 2015. View at Publisher · View at Google Scholar
  15. L. Sperling, B. Ryzhik, C. Linz, and H. Duckstein, “Simulation of two-plane automatic balancing of a rigid rotor,” Mathematics and Computers in Simulation, vol. 58, no. 4–6, pp. 351–365, 2002. View at Publisher · View at Google Scholar
  16. J. M. Balthazar, J. L. P. Felix, and R. M. L. R. F. Brasil, “Short comments on self-synchronization of two non-ideal sources supported by a flexible portal frame structure,” Journal of Vibration and Control, vol. 10, no. 12, pp. 1739–1748, 2004. View at Publisher · View at Google Scholar · View at Scopus
  17. J. M. Balthazar, J. L. P. Felix, and R. M. Brasil, “Some comments on the numerical simulation of self-synchronization of four non-ideal exciters,” Applied Mathematics and Computation, vol. 164, no. 2, pp. 615–625, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. A. A. N. Djanan, B. R. N. Nbendjo, and P. Woafo, “Effect of self-synchronization of DC motors on the amplitude of vibration of a rectangular plate,” European Physical Journal: Special Topics, vol. 223, no. 4, pp. 813–825, 2014. View at Publisher · View at Google Scholar · View at Scopus
  19. P. Fang, Q. Yang, Y. Hou, and Y. Chen, “Theoretical study on self-synchronization of two homodromy rotors coupled with a pendulum rod in a far-resonant vibrating system,” Journal of Vibroengineering, vol. 16, no. 5, pp. 2188–2204, 2014. View at Google Scholar