Skip to main content

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

  • Conference paper
Dynamics of Multibody Systems
  • 251 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  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) 220–227

    Google Scholar 

  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) 451–458

    Google Scholar 

  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. Blekhman I.I.: Synchronizatsiia Dinamicheskikh Sistem., Izd., “Nauka”, (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag, Berlin/Heidelberg

About this paper

Cite this paper

Inoue, J., Araki, Y., Hirakawa, M. (1978). The Self-Synchronization of Mechanical Vibrators of the Resonance Type Vibrating Machinery with Multidegree of Freedom. In: Magnus, K. (eds) Dynamics of Multibody Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86461-2_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-86461-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86463-6

  • Online ISBN: 978-3-642-86461-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics