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SUN Qing, ZHANG Bin, LIU Zheng-wei, WU Xiao-hong, XUE Xiao-min. ANALYSIS OF SUPERHARMONIC AND SUBHARMONIC RESONANCE RESPONSES OF ACTIVE VIBRATION CONTROL SYSTEM WITH DOUBLE TIME DELAY[J]. Engineering Mechanics, 2010, 27(12): 84-089.
Citation: SUN Qing, ZHANG Bin, LIU Zheng-wei, WU Xiao-hong, XUE Xiao-min. ANALYSIS OF SUPERHARMONIC AND SUBHARMONIC RESONANCE RESPONSES OF ACTIVE VIBRATION CONTROL SYSTEM WITH DOUBLE TIME DELAY[J]. Engineering Mechanics, 2010, 27(12): 84-089.
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ANALYSIS OF SUPERHARMONIC AND SUBHARMONIC RESONANCE RESPONSES OF ACTIVE VIBRATION CONTROL SYSTEM WITH DOUBLE TIME DELAY

  • (1. Department of Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China; 2. Henan Electric Power Survey & Design Institute, Zhengzhou 450007,China; 3. School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
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  • The superharmonic and subharmonic resonance responses of a strongly nonlinear delay differential equation are solved using an incremental harmonic balance method. The value of the exciting frequency when the subharmonic resonance occurs is discussed. The influences of the time delay, the feedback gain, the excitation amplitude and the coefficient of nonlinear terms on the system superharmonic and subharmonic resonance response are studied. The results show that the influences of each system parameter on the superharmonic resonance response and the subharmonic resonance response of the system are great. The value of the exciting frequency when the subharmonic resonance occurs is affected by the system parameters.
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