Abstract This paper presents a study to investigate the equivalent viscous damping (EVD) for the hysteretic response of a multiple cosine-curved dome (MCCD) system. The system comprises of several serially connected units with elastic multistable behavior. The system relies on consecutive snap-through buckling events of the connected units to elastically dissipate energy. The study aims to facilitate the direct displacement-based design of structures incorporating such systems as the main damping mechanism to dissipate seismic energy. Time-history analyses of linear and nonlinear single degree of freedom systems were performed to compare spectral displacements and EVD ratios of the hysteretic response of MCCD systems to their substitute linear systems in terms of maximum displacements. A set of 62 ground motion records were considered for the analysis. A statistical study was conducted on the resulting displacements and the EVD ratios to develop expressions for EVD ratios of the hysteretic response. Results show that using proposed EVD ratios for the substitute linear systems yields good approximations for the peak spectral displacements compared to the original nonlinear systems.

中文翻译：

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具有通过弹性不稳定性耗散能量的系统的等效粘性阻尼

摘要 本文提出了一项研究，以研究多余弦曲线圆顶 (MCCD) 系统滞后响应的等效粘性阻尼 (EVD)。该系统由多个具有弹性多稳态行为的串联单元组成。该系统依靠连接单元的连续快速屈曲事件来弹性耗散能量。该研究旨在促进结构的直接基于位移的设计，这些结构将此类系统作为主要阻尼机制以消散地震能量。执行线性和非线性单自由度系统的时程分析，以比较 MCCD 系统与其替代线性系统在最大位移方面的滞后响应的光谱位移和 EVD 比。分析时考虑了一组 62 个地面运动记录。对产生的位移和 EVD 比率进行了统计研究，以开发迟滞响应的 EVD 比率的表达式。结果表明，与原始非线性系统相比，将建议的 EVD 比率用于替代线性系统可以产生很好的峰值光谱位移近似值。