A novel Lever-type Inerter-based Vibration Absorber (LIVA) is proposed. The proposed LIVA is based on a lever supported on a flexible auxiliary structure, connecting between the primary structure and a paralleled inerter-dashpot system. Based on analytical H_∞ and H₂ optimization, the formulas of the optimal parameters for the LIVA are derived. The parametric influences on optimal parameters and control performance of the LIVA are systematically investigated. Consequently, the control performance of the LIVA can be enhanced by increasing the auxiliary mass, lever ratio, or the frequency of the auxiliary structure. Considering practical aspect, the influences of damping ratios are discussed to compensate the assumptions adopted in analytical optimization. Thus, a design criterion is proposed to ensure the effectiveness of the LIVA. Finally, the vibration absorption performance of the LIVA is illustrated and compared through time domain analysis subjected to a recent earthquake event. The results have shown that the proposed LIVA exhibits a superior control performance than traditional TMD and another lever-type vibration absorber reported in a literature due to the leverage and inertance effects. Moreover, compared to the existed lever-type vibration absorbers with a fixed fulcrum, the proposed LIVA supported by a flexible auxiliary structure appears more feasible in practice.

提出了一种新型杠杆式惰性减振器 (LIVA)。拟议的 LIVA 基于支撑在柔性辅助结构上的杠杆，连接主结构和并联的惯性阻尼器系统。基于解析H _∞和H ₂优化，导出LIVA的最优参数的公式。系统地研究了参数对 LIVA 最佳参数和控制性能的影响。因此，可以通过增加辅助质量、杠杆比或辅助结构的频率来提高 LIVA 的控制性能。考虑到实际方面，讨论了阻尼比的影响，以补偿分析优化中采用的假设。因此，提出了一个设计标准来确保 LIVA 的有效性。最后，通过对近期地震事件的时域分析，说明并比较了 LIVA 的减振性能。结果表明，由于杠杆和惯性效应，所提出的 LIVA 比传统的 TMD 和文献中报道的另一种杠杆式减振器具有更好的控制性能。此外，与现有的固定支点杠杆式减振器相比，所提出的由柔性辅助结构支撑的 LIVA 在实践中显得更加可行。