This paper explores the influence of linear hysteretic damping on the performance of passive tunedinerter devices. An inerter is a device that produces a force proportional to the relative acceleration across its two terminals; devices incorporating inerters have received widespread attention in the earthquake engineering community, because they offer the ability to improve the seismic response of structures. However, the majority of this research has assumed that the damping components within the tuned-inerter device exhibit viscous, rather than hysteretic, damping. This restriction imposes an essential question on how the hysteretic damping model will change the performance of the device compared to the viscous damping model. It is shown that the response of viscous and hysteretic inerter systems have significant differences in displacement amplitude due to the frequency-dependency of the damping. Therefore, a new formulation for obtaining the optimum loss factor of the hysteretic damping in the inerter system is proposed. Next, the challenges associated with accurately predicting the time-response of a hysteretically damped system are discussed. A numerical time-integration method is extended to address these challenges, using a new formulation that has the benefit of being broadly applicable to multi-degree-of-freedom hysteretic linear systems and nonstationary random signals. The results show that the earthquake responses from the hysteretic damping model can differ significantly from the ones obtained via the viscous model.

中文翻译：

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具有线性滞后阻尼的调谐惰性阻尼器

本文探讨了线性滞后阻尼对无源调谐器设备性能的影响。惯性器是一种产生与其两端的相对加速度成正比的力的装置；装有惰化器的装置在地震工程界受到了广泛关注，因为它们提供了改善结构地震响应的能力。然而，大部分研究都假设调谐惯性装置内的阻尼组件表现出粘性阻尼，而不是滞后阻尼。这一限制提出了一个基本问题，即与粘性阻尼模型相比，滞后阻尼模型将如何改变设备的性能。结果表明，由于阻尼的频率相关性，粘性和滞后惯性系统的响应在位移幅度上有显着差异。因此，提出了一种用于获得惯性系统中滞后阻尼的最佳损耗因子的新公式。接下来，将讨论与准确预测滞后阻尼系统的时间响应相关的挑战。数值时间积分方法被扩展以解决这些挑战，使用一种新公式，该公式具有广泛适用于多自由度滞后线性系统和非平稳随机信号的好处。结果表明，滞后阻尼模型的地震响应与通过粘性模型获得的地震响应有很大不同。