Abstract Damping modification factor (DMF) plays an important role in seismic design and hazard analysis. Many studies have dedicated to the DMF, but the existing formulations still show a quite large scatter. This study proposes a new theoretical approach for analyzing the DMF. The proposed approach models the seismic ground motion with a source-based Fourier amplitude spectrum (FAS) and estimates the DMF from the FAS based on random vibration theory. Using the proposed approach, the characteristics of the DMF are explored and explained. It is found that trends in the DMF with variation of the structural period and seismological parameters are mainly controlled by the shape of the FAS. The overall shapes of the DMF and FAS are almost symmetrical with respect to the period axis. When the shape of the FAS changes with seismological parameters, the DMF changes accordingly, and their shapes nearly always remain symmetrical.

中文翻译：

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基于随机振动理论的阻尼修正系数，使用基于震源的地面运动模型

摘要 阻尼修正系数（DMF）在抗震设计和灾害分析中起着重要的作用。许多研究致力于 DMF，但现有配方仍然显示出相当大的分散性。本研究提出了一种新的理论方法来分析 DMF。所提出的方法使用基于源的傅立叶振幅谱 (FAS) 对地震地面运动进行建模，并根据随机振动理论从 FAS 估计 DMF。使用所提出的方法，探索和解释了 DMF 的特性。研究发现，随着构造周期和地震参数变化的 DMF 趋势主要受 FAS 形状的控制。DMF 和 FAS 的整体形状关于周期轴几乎对称。当 FAS 的形状随地震参数变化时，