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<p><?tk 2?>Seismic isolation is extensively employed to prevent damage to bridge structures by lengthening the vibration period and reducing inertia forces; yet, this advantage frequently results in increased displacement demands on the isolators. Achieving an optimal balance between force reduction and displacement control, therefore, remains a central challenge in the design of bilinear isolation systems. This study presents an analytical solution to optimize the energy dissipation capacity of seismic isolation bearings in bridge structures using a bilinear model. Addressing the trade-off between reducing lateral forces and controlling displacement in base isolation systems, the study introduces a systematic approach to maximize the effective damping ratio by identifying optimal constitutive parameters of characteristic strength <i>Q</i><sub><i>d</i></sub> and post-elastic stiffness <i>K</i><sub><i>d</i></sub> that simultaneously reduce both lateral forces and displacements of the isolated structure. A simplified single-degree-of-freedom model is used to derive closed-form relationships between isolator parameters and seismic responses. The effective damping ratio is explicitly expressed as a function of the bilinear parameters, which directly links energy dissipation to the post-elastic stiffness ratio and the ductility. Parametric studies, performed on the self-developed MATLAB codes, based on the single-mode spectral analysis method, identify optimal parameter ranges, which are further validated through nonlinear time-history analyses using scaled real ground motions. The results show that isolators with the post-elastic ratio α &lt; 0.2 and the ductility ratio µ &lt; 20 significantly improve the energy dissipation performance, achieving an effective balance between force reduction and displacement control. The proposed method provides a practical and effective tool for designing seismic isolation systems with high energy dissipation capacity, which effectively reduces the lateral force and displacement of the isolated structure.</p>

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Improving energy dissipation capability of seismic isolators through bilinear model parameter optimization

  • 期刊论文

  • 发表日期：

    2026年3月24日

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  • Ba Thang Phung,
  • Xuan Dai Nguyen,
  • Thanh Dong Nguyen

摘要

Seismic isolation is extensively employed to prevent damage to bridge structures by lengthening the vibration period and reducing inertia forces; yet, this advantage frequently results in increased displacement demands on the isolators. Achieving an optimal balance between force reduction and displacement control, therefore, remains a central challenge in the design of bilinear isolation systems. This study presents an analytical solution to optimize the energy dissipation capacity of seismic isolation bearings in bridge structures using a bilinear model. Addressing the trade-off between reducing lateral forces and controlling displacement in base isolation systems, the study introduces a systematic approach to maximize the effective damping ratio by identifying optimal constitutive parameters of characteristic strength Qd and post-elastic stiffness Kd that simultaneously reduce both lateral forces and displacements of the isolated structure. A simplified single-degree-of-freedom model is used to derive closed-form relationships between isolator parameters and seismic responses. The effective damping ratio is explicitly expressed as a function of the bilinear parameters, which directly links energy dissipation to the post-elastic stiffness ratio and the ductility. Parametric studies, performed on the self-developed MATLAB codes, based on the single-mode spectral analysis method, identify optimal parameter ranges, which are further validated through nonlinear time-history analyses using scaled real ground motions. The results show that isolators with the post-elastic ratio α < 0.2 and the ductility ratio µ < 20 significantly improve the energy dissipation performance, achieving an effective balance between force reduction and displacement control. The proposed method provides a practical and effective tool for designing seismic isolation systems with high energy dissipation capacity, which effectively reduces the lateral force and displacement of the isolated structure.