Journal of Vibration Engineering & Technologies

, Volume 6, Issue 6, pp 471–481 | Cite as

Resonance Response of a Quasi-zero Stiffness Vibration Isolator Considering a Constant Force

  • Chun ChengEmail author
  • Shunming Li
  • Yong Wang
  • Xingxing Jiang
Original Paper



Investigating the influence of additional constant force on the primary resonance and 1/3 sub-harmonic resonance of a quasi-zero stiffness vibration isolator.


The frequency response curves (FRCs) of primary resonance and 1/3 sub-harmonic resonance are derived using the incremental harmonic balance method. The parametric analysis is then conducted to obtain the influence of additional constant force.


First, increasing the constant force can lead to the increase of resonant frequency and make the system exhibit softening characteristic. The phenomenon of frequency overlap could occur in the FRC under certain conditions. Second, increasing the constant force can make the 1/3 sub-harmonic resonance region shrink. At last, the 1/3 sub-harmonic resonance can be avoided by controlling the excitation level within a certain small range.


Vibration isolator Quasi-zero stiffness Primary resonance Sub-harmonic resonance Incremental harmonic balance method 



This work was supported by the Funding of Jiangsu Innovation Program for Graduate Education (KYLX15_0256), the National Natural Science Foundation of China (51675262), the Open Project of State Key Laboratory for Strength and Vibration of Mechanical Structures (SV2015-KF-01), and the Fundamental Research Funds for the Central Universities (XZA15003).


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Copyright information

© Krishtel eMaging Solutions Private Limited 2018

Authors and Affiliations

  • Chun Cheng
    • 1
    Email author
  • Shunming Li
    • 1
  • Yong Wang
    • 1
  • Xingxing Jiang
    • 1
  1. 1.College of Energy and Power EngineeringNanjing University of Aeronautics and AstronauticsNanjingPeople’s Republic of China

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