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<p>Negative stiffness-assisted dampers exhibit simultaneous enhancement of negative stiffness and energy dissipation, yet the linear damping assumption constrains current understanding. Harnessing the potential of nonlinear viscous damping elements to improve energy dissipation efficiency, this study proposes a nonlinear viscous damping-integrated negative stiffness amplifying dampers (NVD-NSAD) and establishes the nonlinear energy dissipation enhancement theory by deriving analytical formulae and fitting design curves. The mechanical basis of the proposed NVD-NSAD is constructed, enabling derivation of the governing equation of motion and linearized stochastic responses for the NVD-NSAD-equipped structure. Proceeding from the stochastic responses and nonlinear time history analysis, the nonlinear energy dissipation enhancement formula is extended based on linear NSAD. Then, performance diagrams of NVD-NSAD-equipped structures are explored against key design parameters, leading to the proposal of adjusted energy dissipation enhancement-based design criteria and formulae for NVD-NSAD. Ultimately, typical design cases under seismic excitations are investigated to illustrate the design procedure and necessitate the consideration of the ground motion intensity and viscous damping nonlinearity. Results demonstrate that NVD-NSAD achieves higher energy dissipation enhancement and dynamic response mitigation with low damping exponents and more efficient deformation amplification. Clearly verified by the theoretical formulae, the nonlinear energy dissipation enhancement remains true for NVD-NSAD-equipped structure, with the derived equivalent nominal damping ratio accurately reflecting the enhanced damping property. The user-friendly design curves and corresponding formulae effectively ensure predetermined dynamic performances and energy dissipation enhancement in NVD-NSAD-equipped structures, reducing time and computation costs. Consequently, the established energy dissipation enhancement theory can be successfully applied to both linear and nonlinear NSAD systems, thereby providing a comprehensive theoretical foundation for explaining the working mechanism of NSAD.</p>

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Energy dissipation enhancement of nonlinear viscous damping-integrated negative stiffness amplifying dampers

  • 期刊论文

  • 发表日期：

    2025年1月15日

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  • Zhipeng Zhao,
  • Minjun Wu,
  • Yixian Li,
  • Yuan Jiang,
  • Xiuyan Hu,
  • Dagen Weng

摘要

Negative stiffness-assisted dampers exhibit simultaneous enhancement of negative stiffness and energy dissipation, yet the linear damping assumption constrains current understanding. Harnessing the potential of nonlinear viscous damping elements to improve energy dissipation efficiency, this study proposes a nonlinear viscous damping-integrated negative stiffness amplifying dampers (NVD-NSAD) and establishes the nonlinear energy dissipation enhancement theory by deriving analytical formulae and fitting design curves. The mechanical basis of the proposed NVD-NSAD is constructed, enabling derivation of the governing equation of motion and linearized stochastic responses for the NVD-NSAD-equipped structure. Proceeding from the stochastic responses and nonlinear time history analysis, the nonlinear energy dissipation enhancement formula is extended based on linear NSAD. Then, performance diagrams of NVD-NSAD-equipped structures are explored against key design parameters, leading to the proposal of adjusted energy dissipation enhancement-based design criteria and formulae for NVD-NSAD. Ultimately, typical design cases under seismic excitations are investigated to illustrate the design procedure and necessitate the consideration of the ground motion intensity and viscous damping nonlinearity. Results demonstrate that NVD-NSAD achieves higher energy dissipation enhancement and dynamic response mitigation with low damping exponents and more efficient deformation amplification. Clearly verified by the theoretical formulae, the nonlinear energy dissipation enhancement remains true for NVD-NSAD-equipped structure, with the derived equivalent nominal damping ratio accurately reflecting the enhanced damping property. The user-friendly design curves and corresponding formulae effectively ensure predetermined dynamic performances and energy dissipation enhancement in NVD-NSAD-equipped structures, reducing time and computation costs. Consequently, the established energy dissipation enhancement theory can be successfully applied to both linear and nonlinear NSAD systems, thereby providing a comprehensive theoretical foundation for explaining the working mechanism of NSAD.