International Journal of Theoretical Physics

, Volume 31, Issue 8, pp 1531–1548 | Cite as

Response of self-excited three-degree-of-freedom systems to multifrequency excitations

  • A. M. Elnagar
  • A. F. El-Bassiouny
Article
Received:

Abstract

The response to multifrequency excitation of a three-degree-of-freedom self-excited system is analyzed by using multiple scales. Five cases of resonance are considered: Harmonic, subharmonic, superharmonic, simultaneous sub/superharmonic, and combination resonances. The steady-state amplitudes for each case are plotted, showing the influences of the several parameters. Approximate solutions are found and stability analyses are carried out for each case.

Keywords

Field Theory Elementary Particle Quantum Field Theory Approximate Solution Stability Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. M. Elnagar
    • 1
  • A. F. El-Bassiouny
    • 1
  1. 1.Mathematics DepartmentFaculty of ScienceBenhaEgypt

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