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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >Unifying causal model of rate-independent linear damping for effectively reducing seismic response in low-frequency structures
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Unifying causal model of rate-independent linear damping for effectively reducing seismic response in low-frequency structures

机译：汇率无关线性阻尼的统一因果模型，以有效降低低频结构地震响应的影响

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摘要

Rate-independent linear damping (RILD), which is also known as structural damping or hysteretic damping, refers to a type of damping having a constant imaginary part in its complex stiffness that generates damping forces independent of the excitation frequency. In contrast, linear viscous damping (LVD) is another type of damping with a frequency-proportional imaginary part in its complex stiffness, resulting in damping forces proportional to frequency. RILD demonstrates similar performance to that of LVD for the same loss factor when incorporated in a structure to control seismic response displacement. Nevertheless, the damping force generated by the RILD is relatively low in frequency ranges higher than the natural frequency of the primary structure. This leads to efficient displacement control with low damping force when RILD is integrated with low-frequency structures. However, the noncausality of RILD hinders its practical applications, and thus, causal models are widely studied to mimic the RILD behavior. This paper proposes a causal model of RILD using Maxwell elements whose damping force is generated according to the fractional derivative of displacement. The proposed model, further represented by a fractional-order damping function, is found to be a unifying model that includes existing causal RILD models from the literature, thereby providing further insights to better understand the nature of RILD. Furthermore, numerical examples using linear as well as nonlinear structural models illustrate the benefit of physical realization of the proposed methods in improving the seismic performance of low-frequency structures.
机译：速率无关的线性阻尼（R样线），其也称为结构阻尼或滞后阻尼，是指在其复杂的刚度中具有恒定的虚部的阻尼，其产生独立于激发频率的阻尼力。相反，线性粘性阻尼（LVD）是一种在其复杂刚度中具有频率比例的虚部的另一种阻尼，导致阻尼力与频率成比例。当在结构中结合到控制地震反应位移时，R窗体向相同损耗因子的LVD表示类似的性能。然而，由rild产生的阻尼力在高于主要结构的固有频率的频率范围内相对较低。当利用低频结构集成时，这导致具有低阻尼力的高度位移控制。然而，R脱机的非分量阻碍了其实际应用，因此，因果模型被广泛研究以模仿RICS行为。本文提出了利用麦克斯韦元素来提出RIDS的因果模型，其阻尼力根据位移的分数衍生物产生。所提出的模型，进一步由分数级衰减功能表示，该模型是一种统一模型，包括来自文献的现有因果RILD模型，从而提供更好地了解RICT的性质的进一步见解。此外，使用线性以及非线性结构模型的数值示例说明了在提高低频结构的地震性能方面提出了所提出的方法的物理实现的益处。

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