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摘要
Resonance and performance analysis of a harmonically forced Quasi-Zero-Stiffness (QZS) vibration isolator considering the effect of mistuned mass is presented in this paper. The QZS vibration isolator is comprised of vertical spring used as load bearing element and inclined springs used as negative stiffness correctors. The dynamic motion of the QZS vibration isolator considering the effect of mistuned mass can be approximately described by the Helmholtz-Duffing equation. Firstly, the primary resonance is obtained by using Harmonic Balance Method (HBM). Different shapes of Frequency Response Curves (FRCs) are found for different combinations of mistuned mass and force amplitude. The influence of excitation amplitude and damping ratio on the primary resonance are considered. The peak amplitudes of primary resonance and stability analysis are also investigated. Then the 1/2 subharmonic resonance, the phenomenon of period-doubling bifurcations and their development into chaotic motion are analyzed by approximate analytic and numerical methods. The bifurcation diagram, time histories, Fourier spectra, phase plane plots and Poincare maps are used to show this development. Finally, force transmissibility is proposed to evaluate the performance of the QZS vibration isolator and compared with an equivalent linear vibration isolator. The results show that the QZS vibration isolator can outperform the equivalent linear one to offer a wider isolation frequency band and lower maximum transmissibility when the excitation amplitude is not too large.
- 出版日期2017-2
- 单位南京航空航天大学
