Skip to main content
Log in

Effect of self-synchronization of DC motors on the amplitude of vibration of a rectangular plate

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

The present paper shows the condition for which three motors working on the same plate can enter into synchronization with the phase difference equal to 0, π/5, 2π/5, 4π/5, π 8π/5, or 2π depending on the physical characteristics of the motors and the plate. The motors are considered as non-ideal oscillators and act as external excitation on a specific area of the plate. The analysis of the vibration of the plate indicates through numerical simulation that one can obtain a reduction of vibration when the motors are different and rotates in opposite directions.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B.R. Nana Nbendjo, I.L. Caldas, R.L. Viana, Nonlin. Dynam. 70, 401 (2012)

    Article  MathSciNet  Google Scholar 

  2. J.M. Balthazar, J.L. Palacious Felix, R.M.L.R.F. Brasil, Mat. Sc. For. 440/441, 371 (2003)

    Google Scholar 

  3. A.A. Nanha Djanan, B.R. Nana Nbendjo, P. Woafo, Nonlin. Dynam. 63, 477 (2011)

    Article  Google Scholar 

  4. A.H. Nayfeh, D.T. Mook, Nonlinear Oscillations (Wiley, New-york, 1979)

  5. J.M. Balthazar, D.T. Mook, H.I. Weber, et al., Meccanica 30, 613 (2003)

    Article  Google Scholar 

  6. J.L. Palacious Felix, J.M. Balthazar, Nonlin. Dynam. 55, 1 (2009)

    Article  Google Scholar 

  7. A.A. Nanha Djanan, B.R. Nana Nbendjo, P. Woafo, Mech. Res. Com. 54, 72 (2013)

    Article  Google Scholar 

  8. J.M. Balthazar, J.L. Palacious Felix, R.M.L.R.F. Brasil, J. Vib. Cont. 10, 1739 (2004)

    Article  MATH  Google Scholar 

  9. I.I. Bleckhman, Self-synchronization in science and Technology (ASME Press, New York, 1988)

  10. M. Dimenberg, E. Cobb, Mensching, J. Vib. Cont. 7, 221 (2001)

    Article  Google Scholar 

  11. A.S. Pikovsky, M. Rosenblum, J. Kurths, Synchronization-A Unified Approach to Nonlinear Science (Cambridge University Press, Cambridge, UK, 2001)

  12. K. Czolczynski, P. Perlikowski, A. Stefanski, et al., Commun. Nonlinear Sci. 17, 3658 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  13. K. Czolczynski, P. Perlikowski, A. Stefanski, et al., Int. J. Bifurcat. Chaos 22, 1250128 (2012)

    Article  MathSciNet  Google Scholar 

  14. A.A. Nanha Djanan, B.R. Nana Nbendjo, P. Woafo, J. Vib. Cont., doi: 10.1177/1077546313506925 (2013)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. R. N. Nbendjo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Djanan, A.A.N., Nbendjo, B.R.N. & Woafo, P. Effect of self-synchronization of DC motors on the amplitude of vibration of a rectangular plate. Eur. Phys. J. Spec. Top. 223, 813–825 (2014). https://doi.org/10.1140/epjst/e2014-02142-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2014-02142-x

Keywords

Navigation