• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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HOU Yongjun. Self-synchronization and Stability of Two-Times Frequency Shaker Excited by Bi-shaft[J]. Journal of Southwest Jiaotong University, 2012, 25(1): 104-108. doi: 10.3969/j.issn.0258-2724.2012.021.01.017
Citation: HOU Yongjun. Self-synchronization and Stability of Two-Times Frequency Shaker Excited by Bi-shaft[J]. Journal of Southwest Jiaotong University, 2012, 25(1): 104-108. doi: 10.3969/j.issn.0258-2724.2012.021.01.017

Self-synchronization and Stability of Two-Times Frequency Shaker Excited by Bi-shaft

doi: 10.3969/j.issn.0258-2724.2012.021.01.017
  • Received Date: 04 Jul 2010
  • Publish Date: 25 Feb 2012
  • Differential equations of phase angle differences between two exciting shafts of a bi-frequency self-synchronous shaker were derived based on the differential equations of shaker motion and those of rotation of the two exciting shafts. The necessary conditions for self-synchronization of the two shafts was obtained by finding the equilibrium point of the status equations, and the stability condition of the shaker was determined by applying the Lyapunov stability theory. A simulation example was presented. The results show that the second power of ratio of the natural torsional frequency of shaker to the exciting frequency of lower speed shaft is a criterion (4/7 in this example), below the criterion the motion of the shaker is stable.

     

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