Tuned inerter-based dampers (TIBDs), such as the tuned viscous mass damper (TVMD) and tuned inerter damper (TID), have demonstrated better control performance compared with traditional dampers. To enhance the seismic performance of continuous girder bridges, multiple TIBDs are employed to protect the long-span high-speed railway (HSR) continuous girder bridges under the seismic excitation. The governing equations of the motion of the bridge with TIBDs are reformulated in state-space. Based on the H₂ control strategy, the frequency ratio and damping ratio of TIBDs to tune multiple modes of bridges are optimized. The control performance of TIBDs with optimal parameters is evaluated and compared with that of the viscous dampers (VDs) in terms of mitigating the peak response and root mean square (RMS) response of the bridge. Meanwhile, through analyzing the power spectral density and dissipated energy of different dampers, the mitigation principle of TIBDs is explored. Results show that TIBDs with optimal parameters can effectively improve seismic performance of the long-span HSR continuous girder bridge. Nevertheless, VDs shows better effectiveness of vibration mitigation on some seismic responses at large inertance ratio in the transverse direction. In addition, the control efficiency of seismic mitigation is reduced for optimal TIBD compared with that for VD with the increase of inertance ratio. Note that the non-linear behavior of the ballasted track system for used HSR bridge model is not considered in the study. Therefore, the proposed analysis method and results obtained in this study can provide references for seismic response control in the linear continuous girder bridges using multiple TIBDs.

调谐惯性阻尼器 (TIBD)，例如调谐粘性质量阻尼器 (TVMD) 和调谐惰性阻尼器 (TID)，与传统阻尼器相比，已表现出更好的控制性能。为了提高连续梁桥的抗震性能，在地震激发下，采用多个TIBD保护大跨度高速铁路（HSR）连续梁桥。具有 TIBD 的桥梁运动的控制方程在状态空间中重新表述。基于 H ₂控制策略，优化了TIBDs的频率比和阻尼比以调整桥梁的多种模式。在减轻桥梁的峰值响应和均方根 (RMS) 响应方面，评估了具有最佳参数的 TIBD 的控制性能并与粘性阻尼器 (VD) 的控制性能进行了比较。同时，通过分析不同阻尼器的功率谱密度和耗散能量，探讨了TIBDs的缓解原理。结果表明，优化参数的TIBD可以有效提高大跨度HSR连续梁桥的抗震性能。尽管如此，VDs 对一些横向大惯量比的地震响应显示出更好的减振效果。此外，与VD相比，最佳TIBD的减震控制效率随着惯量比的增加而降低。请注意，研究中未考虑使用的 HSR 桥梁模型的碴轨道系统的非线性行为。因此，本文提出的分析方法和研究结果可为采用多个TIBD的线性连续梁桥的地震反应控制提供参考。