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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2012, Vol. ›› Issue (6): 1020-1029.

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Vibration Suppression of a Two-degree-of-freedom Nonlinear Energy Sink Under Harmonic Excitation

KONG Xianren, ZHANG Yechi   

  1. Research Center of Satellites, School of Astronautics, Harbin Institute of Technology, Harbin 150080, China
  • Received:2011-08-28 Revised:2011-11-01 Online:2012-06-25 Published:2012-06-26
  • Supported by:

    Changjiang Scholars and Innovative Research Team (IRT0520)

Abstract: Vibration suppression in the vicinity of the main resonance of a two-degree-of-freedom (2-DOF) nonlinear energy sink (NES) is investigated. The effectiveness of the 2-DOF NES is studied at both the periodic and quasi-periodic response regimes. Slow dynamics of a linear oscillator coupled with a 2-DOF small mass NES is established using the complex-averaging method. Stability of fixed points is investigated and a strongly modulated response (SMR) regime is found. The slow dynamics of the system is verified by the incremental harmonic balance (IHB) method, and the efficiency of vibration suppression at both periodic and strongly modulated response regimes are compared. Finally, the efficiency of vibration suppression is also compared with an equal-mass single-DOF (SDOF) NES which is optimally tuned. The simulation results show that the efficiency of vibration suppression can be enhanced by the 2-DOF NES when strongly modulated response occurs, and better performance of vibration suppression is observed compared to the same-mass SDOF NES.

Key words: nonlinear energy sink, vibration suppression, incremental harmonic balance method, harmonic excitation, strong nonlinear system

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