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<p>This study proposes a nonlinear quasi-zero stiffness (QZS) vibration isolator using a 2-degree-of-freedom (DOF) link spring and curved surface mechanism (LCM) to enhance vibration isolation performance and maintain stability in a static equilibrium position. The 2-DOF QZS vibration isolation system (VIS) offers the advantage of improved performance by lowering the resonance frequency and widening the isolation frequency band within a specific frequency range. The proposed 2-DOF QZS VIS with LCM (2-DOF VIS-LCM) not only retains these benefits but also converts small amplitude displacements into larger displacement changes, addressing the limitation of a narrow vibration isolation operating range. The restoring forces generated by the vertical springs and link springs consist of both linear and cubic nonlinear stiffness components. When subjected to external excitation, the positive stiffness of the vertical spring is balanced by the negative stiffness of the link spring, resulting in low dynamic stiffness or quasi-zero stiffness (QZS) and thus achieving effective vibration isolation. The static analysis of the 2-DOF VIS-LCM explores its displacement-stiffness and displacement-restoring force characteristics, providing the QZS conditions under static equilibrium. Furthermore, the amplitude-frequency response equations of the 2-DOF system were derived using the harmonic balance method (HBM) and validated against numerical analysis results. Experimental testing demonstrated the superior vibration isolation performance of the 2-DOF VIS-LCM. The influence of various parameters on dynamic response and force transmissibility was also examined. The findings indicate that the 2-DOF VIS-LCM outperforms traditional systems, including the 1-DOF linear VIS, 1-DOF QZS VIS with LCM, and 2-DOF linear VIS.</p>

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Force transmissibility of two degree-of-freedom quasi-zero stiffness vibration isolation system with link-spring and curved surface mechanism

  • 期刊论文

  • 发表日期：

    2026年3月9日

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  • Sangho Pyo,
  • Suwon Bae,
  • Seunghun Baek

摘要

This study proposes a nonlinear quasi-zero stiffness (QZS) vibration isolator using a 2-degree-of-freedom (DOF) link spring and curved surface mechanism (LCM) to enhance vibration isolation performance and maintain stability in a static equilibrium position. The 2-DOF QZS vibration isolation system (VIS) offers the advantage of improved performance by lowering the resonance frequency and widening the isolation frequency band within a specific frequency range. The proposed 2-DOF QZS VIS with LCM (2-DOF VIS-LCM) not only retains these benefits but also converts small amplitude displacements into larger displacement changes, addressing the limitation of a narrow vibration isolation operating range. The restoring forces generated by the vertical springs and link springs consist of both linear and cubic nonlinear stiffness components. When subjected to external excitation, the positive stiffness of the vertical spring is balanced by the negative stiffness of the link spring, resulting in low dynamic stiffness or quasi-zero stiffness (QZS) and thus achieving effective vibration isolation. The static analysis of the 2-DOF VIS-LCM explores its displacement-stiffness and displacement-restoring force characteristics, providing the QZS conditions under static equilibrium. Furthermore, the amplitude-frequency response equations of the 2-DOF system were derived using the harmonic balance method (HBM) and validated against numerical analysis results. Experimental testing demonstrated the superior vibration isolation performance of the 2-DOF VIS-LCM. The influence of various parameters on dynamic response and force transmissibility was also examined. The findings indicate that the 2-DOF VIS-LCM outperforms traditional systems, including the 1-DOF linear VIS, 1-DOF QZS VIS with LCM, and 2-DOF linear VIS.