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The Self-Synchronization of Mechanical Vibrators of the Resonance Type Vibrating Machinery with Multidegree of Freedom

  • J. Inoue
  • Y. Araki
  • M. Hirakawa
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

This paper investigates the self-synchronization of mechanical vibrators having multidegree of freedom which occurs at resonance. It is shown that all the vibrators rotate with the same mean absolute angular velocity, in spite of the absence of any direct connections between their rotors. Generally speaking, there exist a steady rotation which is associated with the mechanism whereby a Hula-Hoop may be kept in rotation by an oscillatory motion of support. The generating phase angle between the rotation of unbalanced rotors and steady state vibration of the system are analyzed in detail.

Keywords

Multibody System Forced Oscillation Unbalanced Mass Steady State Vibration Unbalanced Rotor 
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References

  1. 1.
    Inoue J.; Hayashi S.; Araki Y.: On the Revolution of Unbalanced Rotor Whose Pivot Point is Caused to Oscillate. Proc. 14th Jap. Nat. Congr. Appl. Mech. (1964) 220–227Google Scholar
  2. 2.
    Inoue J.; Araki Y.; Watanabe Y.: On the Multiple Self-Synchronization of Mechanical Vibrators. Proc. 4th World Congr. on the Theory of Mach. and Mech., I. Mech. E. (1975) 451–458Google Scholar
  3. 3.
    Jordan H.; Mahrenholtz O.; Roder G.; Weis M.: Bedingungen für der selbsttatigen synchronen Betrieb von Wuchtmassenerregen., Industrie-Anzeiger, 89jg. Nr.86 v.27–10, (1967)Google Scholar
  4. 4.
    Blekhman I.I.: Synchronizatsiia Dinamicheskikh Sistem., Izd., “Nauka”, (1971)Google Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1978

Authors and Affiliations

  • J. Inoue
    • 1
  • Y. Araki
    • 2
  • M. Hirakawa
    • 3
  1. 1.Faculty of EngineeringKyushu UniversityJapan
  2. 2.Kyushu Institute of TechnologyJapan
  3. 3.Yasukawa Electric Co. LtdJapan

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