The velocity response spectrum (SV) plays an important role in the seismic design of structures that incorporate supplementary velocity-dependent dampers, which can be approximated by the pseudo-velocity response spectrum converted from the acceleration response spectrum (SA). However, the error of this approximation is significant for short and long periods. This paper aims to develop a model for transforming the SA into the SV. To systematically explore the relationship between SA and SV and find the parameters affecting it, a theoretical SA-SV relationship is derived based on random vibration theory. Accordingly, statistical analyses using a large number of ground motion records were conducted to establish a simple model for transforming the SA to the SV. The results of the proposed model are found to agree very well with those obtained from actual seismic motion records. This study promotes the accurate conversion from SA to SV and is particularly useful for the seismic design of structures equipped with velocity-dependent dampers.

中文翻译：

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使用加速度响应谱估计速度响应谱


速度响应谱 (SV) 在包含辅助速度相关阻尼器的结构的抗震设计中起着重要作用，可以通过从加速度响应谱 (SA) 转换的伪速度响应谱来近似。然而，这种近似的误差对于短期和长期来说都是很大的。本文旨在开发一种将 SA 转换为 SV 的模型。为了系统地探讨SA和SV之间的关系并找到影响其的参数，基于随机振动理论推导了理论SA-SV关系。因此，利用大量地震动记录进行统计分析，建立了将SA转换为SV的简单模型。发现所提出的模型的结果与从实际地震运动记录中获得的结果非常吻合。这项研究促进了从 SA 到 SV 的精确转换，对于配备速度相关阻尼器的结构的抗震设计特别有用。