About this Journal Submit a Manuscript Table of Contents 
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 717543, 12 pages
doi:10.1155/2012/717543
Research Article

Nonlinear Response of Vibrational Conveyers with Nonideal Vibration Exciter: Superharmonic and Subharmonic Resonance

H. Bayıroğlu,1 G. F. Alışverişçi,1 and G. Ünal2

1Yıldız Technical University, 34349 Istanbul, Turkey
2Yeditepe University, 34755 Istanbul, Turkey

Received 17 October 2011; Accepted 24 November 2011

Academic Editor: Swee Cheng Lim

Copyright © 2012 H. Bayıroğlu et al. 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. J. M. Balthazar, D. T. Mook, H. I. Weber et al., “An overview on non-ideal vibrations,” Mechanica, vol. 38, no. 6, pp. 613–621, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. Y. Rocard, General Dynamics of Vibrations, Ungar, New York, NY, USA, 3rd edition, 1960.
  3. R. Mazert, Mécanique Vibratoire, C. Béranger, editor, Paris, France, 1955.
  4. Y. G. Panovko and I. I. Gubanova, Stability and Oscillations of Elastic Systems, Consultans Bureau, New York, NY, USA, 1965.
  5. V. O. Kononenko, Vibrating Problems with a Limited Power Supply, Iliffe, London, UK, 1969.
  6. R. M. Evan-Ivanowski, Resonance Oscillations in Mechanical Systems, Elsevier, Amsterdam, The Netherlands, 1976.
  7. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations, John Wiley & Sons, New York, NY, USA, 1979.
  8. S. Ganapathy and M. A. Parameswaran, “Transition over resonance and power requirements of an unbalanced mass-driven vibratory system,” Mechanism and Machine Theory, vol. 21, no. 1, pp. 73–85, 1986. View at Scopus
  9. M. R. Bolla, J. M. Balthazar, J. L. P. Felix, and D. T. Mook, “On an approximate analytical solution to a nonlinear vibrating problem, excited by a nonideal motor,” Nonlinear Dynamics, vol. 50, no. 4, pp. 841–847, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Götzendorfer, Vibrated granular matter: transport, fluidization, and patterns, Ph.D. thesis, University Bayreuth, 2007.
  11. V. Piccirillo, J. M. Balthazar, and B. R. Pontes Jr., “Analytical study of the nonlinear behavior of a shape memory oscillator: part II-resonance secondary,” Nonlinear Dynamics, vol. 60, no. 4, pp. 513–524, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. J. Awrejcewicz and C. H. Lamarque, Bifurcation and Chaos in Nonsmooth Mechanical Systems, World Scientific, River Edge, NJ, USA, 2003.
  13. A. H. Nayfeh and C. M. Chin, Perturbation Methods with Mathematica, Dynamics Press, Virgina, va, USA, 1999.
  14. S. Lynch, Dynamical Systems with Applications Using Mathematica, Birkhäauser, Boston, Mass, USA, 2007.