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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >A new model for spectral velocity ordinates at long periods
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A new model for spectral velocity ordinates at long periods

机译：长时间谱速度纵坐标的新模型

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The estimation of peak linear response via elastic design (response) spectra continues to form the basis of earthquake-resistant design of structural systems in various codes of practice all over the world. Many response spectrum-based formulations of peak linear response require an additional input of the spectral velocity (SV) ordinates consistent with the specified seismic hazard. SV ordinates have been conventionally approximated by pseudo spectral velocity (PSV) ordinates, which are close to the SV ordinates only over the intermediate frequency range coinciding with the velocity-sensitive region. At long periods, PSV ordinates underestimate the SV ordinates, and this study proposes a formulation of a correction factor (>1) that needs to be multiplied by the PSV ordinates in order to close the gap between the two sets of ordinates. A simple model is proposed in the form of a power function in oscillator period to estimate this factor in terms of two governing parameters which are in turn estimated from two single-parameter scaling equations. The parameters considered for the scaling equations are (1) the period at which the PSV spectrum is maximized and (2) the rate of decay of the pseudo spectral acceleration (PSA) amplitudes at long periods. For a given damping ratio, four regression coefficients are determined for the scaling equations with the help of 205 ground motions recorded in western USA. A numerical study undertaken with the help of several design PSA spectra and ensembles of spectrum-compatible ground motions illustrates the effectiveness of the proposed correction factor, together with the proposed scaling models, in comparison with the PSV approximation in a variety of design situations. Both the input parameters mentioned above can be easily obtained from the specified design spectrum, and thus the proposed model is convenient to use.
机译：通过弹性设计（响应）光谱估算峰值线性响应，继续构成世界各地各种实践规范中结构系统抗震设计的基础。许多基于响应谱的峰值线性响应公式都需要额外输入与指定地震危险一致的谱速度（SV）坐标。 SV坐标通常由伪谱速度（PSV）坐标近似，伪谱速度（PSV）坐标仅在与速度敏感区域一致的中频范围内接近S​​V坐标。长期而言，PSV坐标会低估SV坐标，因此本研究提出了一种校正因子（> 1）的公式，需要将其乘以PSV坐标才能弥合两组坐标之间的差距。提出了一个简单的模型，该模型以振荡器周期中的幂函数的形式根据两个控制参数来估计该因子，而这两个控制参数又是从两个单参数缩放方程式中得出的。为比例方程式考虑的参数是（1）PSV频谱最大化的周期和（2）长时间内伪频谱加速度（PSA）振幅的衰减率。对于给定的阻尼比，借助美国西部记录的205次地面运动确定了比例方程的四个回归系数。在几个设计PSA频谱和频谱兼容的地震动集合的帮助下进行的数值研究表明，与各种设计情况下的PSV近似相比，提出的校正因子以及提出的缩放模型的有效性。可以从指定的设计范围轻松获得上述两个输入参数，因此建议的模型使用方便。

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