Multi-resonance inhibition of a two-degree-of-freedom piecewise system by one nonlinear energy sink

Xin Wang, Xiao Ye Mao, Hu Ding, Siu Kai Lai, Li Qun Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


A nonlinear energy sink (NES) system is proposed to reduce multiple resonances of a two-degree-of-freedom piecewise system, which extends the application of the NES in engineering. Many engineering devices are subjected to ambient excitations with various vibration magnitudes, such as satellites during the launch phase and the on-orbit phase. Using the design of piecewise stiffness is the most convenient choice for protecting such devices. Although this design is able to mitigate the vibration of structures a certain extent, the structures may severely vibrate in a wide frequency range. Hence, it is necessary to further control the vibration of structures based on the limiting design. NES has been proved to have the advantage of capturing resonance automatically and absorbing vibration energy from the main system irreversibly. Therefore, it is used to realize the multiple resonance reduction of the TDOF piecewise system in this study. To the calculation procedures, the hyperbolic tangent function is used to fit the piecewise restoring force. A parametric analysis of the NES device on the vibration reduction performance is investigated in detail. Improper selection of the governing parameters can result in a “frequency island” phenomenon, which can weaken the vibration damping effect of NES. The particle swarm optimization algorithm is developed acting on the NES’s parameters to determine the most effective vibration control approach of two resonances simultaneously. Experimental studies of the coupled damping scheme are also carried out to verify the correctness of the theoretical results. This work offers a new perspective of using NES on the multi-resonance control for piecewise systems successfully.

Original languageEnglish
JournalInternational Journal of Dynamics and Control
Publication statusAccepted/In press - 2023


  • Harmonic balance method (HBM)
  • Multi-resonance reduction
  • Nonlinear energy sink (NES)
  • Particle swarm optimization (PSO)
  • TDOF piecewise system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Modelling and Simulation
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering


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