Acta Mechanica Sinica

, Volume 9, Issue 1, pp 61–71 | Cite as

Harmonic, subharmonic, superharmonic, simultaneous sub/super harmonic and combination resonances of self-excited two coupled second order systems to multi-frequency excitation

  • A. M. Elnaggar
  • A. F. El-Basyouny


Harmonic, subharmonic, superharmonic, simultaneous sub/super harmonic, and combination resonances of the additive type of self-excited two coupled-second order systems to multi-frequency excitation are investigated. The theoretical results are obtained by the multiple-scales method. The steady state amplitudes for each resonance are plotted, showing the influence of the different parameters. Analysis for each figure is given. Approximate solution corresponding to each type of resonance is determined. Stability analyses are carried out for each case.

Key Words

resonance nonlinear oscillation multiple-scales method self-excited system multi-frequency excitation 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1993

Authors and Affiliations

  • A. M. Elnaggar
    • 1
  • A. F. El-Basyouny
    • 1
  1. 1.Mathematics DepartmentFaculty of ScienceBenhaEgypt

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