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Apparent translational component for rotational ground motions

机译：旋转地面运动的表观翻译成分

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Even though the rotational ground motion may contribute significantly to the response of certain structures, their effects are generally ignored in seismic design, because of non-availability of appropriate instruments for direct recording of the rotational components. Like many others, a simplified framework was proposed by the authors elsewhere (Rodda and Basu in Int J Earthq Impact Eng 1(3):253-288, 2016) to extract the rotational motion as a temporal derivative of an apparent translational component (ATC) followed by scaling with an apparent velocity. ATC was defined such that its time derivative is closely correlated with the respective rotational motion. But the a priori knowledge of rotational motion is required in estimating the ATC for rocking component. An empirical procedure has been proposed here to bypass the requirement of rotational motion a priori. This paper also assesses the definition of ATC through examining the similitude between the time derivative of ATC and the respective rotational motion (benchmark) quantitatively. Similitude is assessed on smoothened response spectra (by Hamming window) of the time derivative of ATC and that of rotational motion. A new definition of spectral contrast angle (SCA) based on distance correlation has been proposed to assess the spectral similitude. To differentiate the similar from non-similar spectra, SCA corresponding to an acceptable degree of similarity is proposed by studying a large ensemble of ground motions from the PEER database. This similitude study is further extended using relative energy build up and energy spectra.
机译：尽管旋转地面运动可能会对某些结构的响应产生重大影响，但在抗震设计中，它们的影响通常被忽略，因为没有合适的仪器直接记录旋转部件。与其他许多人一样，其他地方的作者（Rodda和Basu in Int J Earthq Impact Eng 1（3）：253-288，2016）提出了一个简化框架，以提取旋转运动作为视平移分量（ATC）的时间导数，然后以视速度缩放。ATC的定义使其时间导数与各自的旋转运动密切相关。但是，在估计摇摆部件的ATC时，需要获得旋转运动的先验知识。这里提出了一个经验过程，以绕过旋转运动的先验要求。本文还通过定量检验ATC的时间导数与相应旋转运动（基准）之间的相似性，评估了ATC的定义。相似性通过ATC时间导数和旋转运动时间导数的平滑响应谱（通过汉明窗）进行评估。提出了一种基于距离相关的光谱对比角（SCA）的新定义，用于评估光谱相似性。为了区分相似和非相似谱，通过研究来自对等数据库的大量地震动，提出了对应于可接受相似程度的SCA。利用相对能量积累和能谱进一步扩展了这种相似性研究。

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