Two-sided damping constraint control strategy for high-performance vibration isolation and end-stop impact protection

Zhifeng Hao, Qingjie Cao*, Marian Wiercigroch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

60 Citations (Scopus)


In this paper, a two-sided damping constraint control strategy is proposed to improve the performance of the quasi-zero stiffness isolator. The new control policy is achieved through switching the damping of isolator between the soft and hard modes that depend on a preset value of the relative displacement (PRD). This control approach can largely lower the isolation frequency while enhancing the effectiveness of isolation in high frequencies and preventing the severity of end-stop impacts. To realize such control objective, two key issues are solved including the suppressing of period-3 solutions that coexist with the desired period-1 orbits and the optimization of PRDs based upon the analysis of two-parameter bifurcations and basins of attraction. Finally, the capability of the proposed system in end-stop impact protection is studied, which shows that it can successfully prevent the impact and quickly stabilize the large-amplitude response into the ideal steady-state motion.

Original languageEnglish
Pages (from-to)2129-2144
Number of pages16
JournalNonlinear Dynamics
Issue number4
Early online date1 Mar 2016
Publication statusPublished - Dec 2016

Bibliographical note

The first two authors would like to acknowledge the financial supports from the Natural Science Foundation of China (Grant No. 11372082,11572096) and the National Basic Research Program (973 Program) of China (Grant No. 2015CB057405). ZF Hao would also be indebted to the Scholarship for International Visiting Program of Harbin Institute of Technology and the hospitality of University of Aberdeen.


  • Bifurcation analysis
  • Impact protection
  • Low-frequency isolator
  • Piecewise smooth system
  • SD oscillator with QZS
  • Two-sided damping constraint


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