SUN Bin, WU Zhi-qiang. Vibration Suppression of Nonlinear Systems Under Dual-Frequency Excitations With Nonlinear Energy Sink[J]. Applied Mathematics and Mechanics, 2017, 38(11): 1240-1250. doi: 10.21656/1000-0887.370379
Citation: SUN Bin, WU Zhi-qiang. Vibration Suppression of Nonlinear Systems Under Dual-Frequency Excitations With Nonlinear Energy Sink[J]. Applied Mathematics and Mechanics, 2017, 38(11): 1240-1250. doi: 10.21656/1000-0887.370379

Vibration Suppression of Nonlinear Systems Under Dual-Frequency Excitations With Nonlinear Energy Sink

doi: 10.21656/1000-0887.370379
Funds:  The National Basic Research Program of China (973 Program)(2014CB046805); The National Natural Science Foundation of China(11372211;11672349)
  • Received Date: 2016-12-14
  • Rev Recd Date: 2016-12-28
  • Publish Date: 2017-11-15
  • In view of the dual-frequency excitation characteristics of a certain type of civil aero-engines, the dynamic model of a single DOF linear oscillator coupled with the nonlinear energy sink (NES) was established. At the low to high characteristic frequency ratio (1∶4.74) of the typical dual-rotor engine in cruise flight, the system was subjected to a dual-frequency harmonic excitation. The 4th-order Runge-Kutta algorithm was employed to study the vibration suppression effects of the system with the coupled NES. In the aspects of the influences of the external excitation frequencies on the kinetic energy of the main oscillator and the total energy of the system, etc, the numerical results were compared among the system with the NES, the one without the NES and another one coupled with a linear dynamic vibration absorber. The work shows that the NES has better vibration suppression effects on the dual-frequency excitation, and is feasible for the reduction of the vibration of aero-engines.
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