Dynamic analysis and experiment of Quasi-zero-stiffness system with nonlinear hysteretic damping

Xiaoying Hu, Chunyan Zhou*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Nonlinear Quasi-zero-stiffness (QZS) vibration isolation systems with linear damping cannot lead to displacement isolation with different excitation levels. In this study, a QZS system with nonlinear hysteretic damping is investigated. The Duffing-Ueda equation with a coupling nonlinear parameter η is proposed to describe the dynamic motion of the QZS system. By using the harmonic balance method (HBM), the primary and secondary harmonic responses are obtained and verified by numerical simulations. The results indicate that nonlinear damping can guarantee a bounded response for different excitation levels. The one-third subharmonic response is found to affect the isolation frequency range even when the primary response is stable. To evaluate the performance of the QZS system, the effective isolation frequency Ω e and maximum transmissibility Tp are proposed to represent the vibration isolation range and isolation effect, respectively. By discussing the effect of η on Ω e and Tp, the conditions to avoid nonlinear phenomena and improve the isolation performance are provided. A prototype of the QZS system is then constructed for vibration tests, which verified the theoretical analysis.

Original languageEnglish
Pages (from-to)2153-2175
Number of pages23
JournalNonlinear Dynamics
Volume107
Issue number3
DOIs
Publication statusPublished - Feb 2022

Keywords

  • Harmonic balance method
  • Nonlinear hysteretic damping
  • One-third subharmonic resonance
  • Quasi-zero-stiffness
  • Transmissibility
  • Vibration isolation

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