<p>To overcome the low-frequency limitations of traditional vibration isolation systems, this paper innovatively integrates an air spring, exhibiting favorable nonlinear characteristics, with annular permanent magnets, developing a quasi-zero-stiffness (QZS) isolator based on an air spring and multi-magnetic ring configuration. Through the integration of theoretical derivation and experimental verification, the nonlinear characteristics of the air spring under varying air pressure conditions are systematically characterized. Based on the molecular current hypothesis, a theoretical mathematical model for the multi-magnetic ring mechanism is developed, and the validity of the theoretical derivation is confirmed via simulation analysis. On this basis, a dynamic model of the QZS vibration isolation system incorporating an air spring and multi-magnetic rings is established. The amplitude–frequency response equation and instability interval are determined using the harmonic balance method, and the effects of different parameters on the system’s response amplitude and transmissibility are analyzed. Finally, the topological structure of various responses in parameter space distribution is demonstrated by using a global bifurcation diagram, two-parameter color-coded pixel diagram, attraction domain, and so on, and reveals its complex nonlinear dynamic behavior, which provides a key theoretical basis for further structural parameter optimization and performance improvement of the structure. The results show that the proposed QZS vibration isolation system demonstrates effective low-frequency vibration isolation performance. Compared with the linear vibration isolation system, the initial vibration isolation frequency of the proposed QZS vibration isolator is reduced by about 78.8%, the peak transmissibility is reduced by about 76.8%, and the peak frequency is reduced by about 82.8%, which significantly improves the low-frequency vibration isolation performance.</p>

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Dynamic characteristics of quasi-zero stiffness system composed of air spring and multiple magnetic rings

  • Xing Nie,
  • Zhengming Xiao,
  • Tao Wan,
  • Tianyang Zhou,
  • Zeming Lian

摘要

To overcome the low-frequency limitations of traditional vibration isolation systems, this paper innovatively integrates an air spring, exhibiting favorable nonlinear characteristics, with annular permanent magnets, developing a quasi-zero-stiffness (QZS) isolator based on an air spring and multi-magnetic ring configuration. Through the integration of theoretical derivation and experimental verification, the nonlinear characteristics of the air spring under varying air pressure conditions are systematically characterized. Based on the molecular current hypothesis, a theoretical mathematical model for the multi-magnetic ring mechanism is developed, and the validity of the theoretical derivation is confirmed via simulation analysis. On this basis, a dynamic model of the QZS vibration isolation system incorporating an air spring and multi-magnetic rings is established. The amplitude–frequency response equation and instability interval are determined using the harmonic balance method, and the effects of different parameters on the system’s response amplitude and transmissibility are analyzed. Finally, the topological structure of various responses in parameter space distribution is demonstrated by using a global bifurcation diagram, two-parameter color-coded pixel diagram, attraction domain, and so on, and reveals its complex nonlinear dynamic behavior, which provides a key theoretical basis for further structural parameter optimization and performance improvement of the structure. The results show that the proposed QZS vibration isolation system demonstrates effective low-frequency vibration isolation performance. Compared with the linear vibration isolation system, the initial vibration isolation frequency of the proposed QZS vibration isolator is reduced by about 78.8%, the peak transmissibility is reduced by about 76.8%, and the peak frequency is reduced by about 82.8%, which significantly improves the low-frequency vibration isolation performance.