Paper Title:
Analysis of Subharmonic Resonance Response of the Time-Delayed System
  Abstract

The subharmonic resonance response of the strongly nonlinear delay differential equation is solved using the incremental harmonic balance method. The value of the exciting frequency when the subharmonic resonance occurs is discussed. The influences of the time delay and the feedback gain on the system subharmonic resonance response are studied. The variation of the subharmonic resonance response with the system parameters is obtained. The results show that the value of the exciting frequency when the subharmonic resonance occurs is affected by the system parameters. The proportion of the one third harmonic in the amplitude increases rapidly with the increase of the exciting frequency. The variation of the amplitude ratio of the one third harmonic and the first harmonic is wavy type. The proportion of the one third harmonic in the amplitude decreases with increasing the displacement feedback gain and increases with increasing the velocity feedback gain. The proportion of the one third harmonic in the amplitude occupies a dominant position in the subharmonic resonance response.

  Info
Periodical
Advanced Materials Research (Volumes 163-167)
Edited by
Lijuan Li
Pages
2910-2915
DOI
10.4028/www.scientific.net/AMR.163-167.2910
Citation
H. Zhang, X. H. Wu, L. Zhang, "Analysis of Subharmonic Resonance Response of the Time-Delayed System", Advanced Materials Research, Vols. 163-167, pp. 2910-2915, 2011
Online since
December 2010
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$32.00
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