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<p>Inerter-based dampers have attracted significant attention as efficient passive vibration control devices. However, their design optimization in multi-degree-of-freedom (MDOF) structures remains insufficiently explored, particularly regarding energy dissipation and placement. This study proposes a power flow-based optimization framework for the design and placement of tuned viscous mass dampers (TVMDs). A closed-form solution for the optimal parameters was derived by minimizing the structural energy dissipation power. Comparative analyses with viscous dampers and the classical fixed-point method demonstrated that the proposed approach achieved superior control performance with smaller damping coefficients. Time-history simulations of MDOF structures further verify that installing TVMDs at stories with maximum inter-story drift can achieve enhanced control effectiveness. Compared with non-optimal placements, this strategy yields control performance gains of up to 20.0%. These findings provide a rigorous analytical basis for the power-oriented TVMD design. They also offer theoretical insights and practical guidance for improving the seismic resilience of building structures.</p>

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Earthquake-induced response mitigation and parameter optimization of multi-story inerter coupling system based on power flow analysis

  • 期刊论文

  • 发表日期：

    2026年3月13日

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  • Jian Huang,
  • Linfei Hao,
  • Ping Tan

摘要

Inerter-based dampers have attracted significant attention as efficient passive vibration control devices. However, their design optimization in multi-degree-of-freedom (MDOF) structures remains insufficiently explored, particularly regarding energy dissipation and placement. This study proposes a power flow-based optimization framework for the design and placement of tuned viscous mass dampers (TVMDs). A closed-form solution for the optimal parameters was derived by minimizing the structural energy dissipation power. Comparative analyses with viscous dampers and the classical fixed-point method demonstrated that the proposed approach achieved superior control performance with smaller damping coefficients. Time-history simulations of MDOF structures further verify that installing TVMDs at stories with maximum inter-story drift can achieve enhanced control effectiveness. Compared with non-optimal placements, this strategy yields control performance gains of up to 20.0%. These findings provide a rigorous analytical basis for the power-oriented TVMD design. They also offer theoretical insights and practical guidance for improving the seismic resilience of building structures.