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<p>The high-static-low-dynamic stiffness (HSLDS) characteristics are the core attribute enabling quasi-zero-stiffness (QZS) vibration isolators to deliver exceptional low-frequency vibration isolation performance. Adopting distinct structural configurations, numerous single-degree-of-freedom (SDOF) QZS isolators with diverse nonlinear stiffness characteristics have been designed to achieve superior low-frequency isolation. However, the absence of quantitative metrics for HSLDS characteristics has led to arbitrariness in nonlinear stiffness design. This study innovatively proposes&#xa0;normalized dynamic stiffness coefficients as the metric to quantify&#xa0;HSLDS&#xa0;characteristics of different QZS isolators. Compared with previous studies, the advantage of the proposed metric lies in its ability to directly reflect the intrinsic nonlinear stiffness properties of QZS isolators, remaining independent of both the system dimensions and spring stiffness. Consequently, by directly comparing the values of the proposed dynamic stiffness coefficients, the superiority of the stiffness nonlinearity design in QZS isolators can be conveniently evaluated. The correlation between nonlinear stiffness fitting coefficients and static characteristics of QZS systems is analyzed. Moreover, the influence of dynamic stiffness coefficients, static equilibrium displacement, and loaded mass on system dynamic response and vibration isolation performance is investigated. The results demonstrate that smaller odd-order dynamic stiffness coefficients combined with larger fourth-order coefficient characterizing asymmetric stiffness can enhance vibration isolation performance.&#xa0;Reducing&#xa0;dynamic stiffness coefficients&#xa0;can be achieved by either&#xa0;enhancing the intrinsic nonlinear load capacity&#xa0;of QZS isolators or&#xa0;minimizing stiffness nonlinearity near the equilibrium position. The implemented static and dynamic tests validate the accuracy of theoretical analysis, confirming the effectiveness of the dynamic stiffness coefficients in evaluating the HSLDS characteristics. This work provides critical guidance for the stiffness nonlinearity design and evaluation of QZS vibration isolators.</p>

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Quantitative evaluation for high-static-low-dynamic stiffness characteristics of quasi-zero stiffness isolators

  • 期刊论文

  • 发表日期：

    2026年3月17日

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  • Chuanyun Yu,
  • Kangfan Yu,
  • Qiang Chen,
  • Jianrun Zhang,
  • Qingguo Fei

摘要

The high-static-low-dynamic stiffness (HSLDS) characteristics are the core attribute enabling quasi-zero-stiffness (QZS) vibration isolators to deliver exceptional low-frequency vibration isolation performance. Adopting distinct structural configurations, numerous single-degree-of-freedom (SDOF) QZS isolators with diverse nonlinear stiffness characteristics have been designed to achieve superior low-frequency isolation. However, the absence of quantitative metrics for HSLDS characteristics has led to arbitrariness in nonlinear stiffness design. This study innovatively proposes normalized dynamic stiffness coefficients as the metric to quantify HSLDS characteristics of different QZS isolators. Compared with previous studies, the advantage of the proposed metric lies in its ability to directly reflect the intrinsic nonlinear stiffness properties of QZS isolators, remaining independent of both the system dimensions and spring stiffness. Consequently, by directly comparing the values of the proposed dynamic stiffness coefficients, the superiority of the stiffness nonlinearity design in QZS isolators can be conveniently evaluated. The correlation between nonlinear stiffness fitting coefficients and static characteristics of QZS systems is analyzed. Moreover, the influence of dynamic stiffness coefficients, static equilibrium displacement, and loaded mass on system dynamic response and vibration isolation performance is investigated. The results demonstrate that smaller odd-order dynamic stiffness coefficients combined with larger fourth-order coefficient characterizing asymmetric stiffness can enhance vibration isolation performance. Reducing dynamic stiffness coefficients can be achieved by either enhancing the intrinsic nonlinear load capacity of QZS isolators or minimizing stiffness nonlinearity near the equilibrium position. The implemented static and dynamic tests validate the accuracy of theoretical analysis, confirming the effectiveness of the dynamic stiffness coefficients in evaluating the HSLDS characteristics. This work provides critical guidance for the stiffness nonlinearity design and evaluation of QZS vibration isolators.