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Scaling of constant-ductility residual displacement spectrum

机译：恒定延性残余位移谱的标度

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摘要

Structures undergoing inelastic displacements during earthquake ground motions are known to sustain some amount of residual displacements, which may make those unusable or unsafe. In this study an attempt is made to estimate residual displacements for elastic-perfectly-plastic single-degree-of-freedom oscillators with a given ductility ratio. Such oscillators belong to the class of bilinear hysteresis models applicable to steel structures, with post-yield-stiffness ratio taken as zero, and may be used for the conservative estimates of residual displacements when the post-yield-stiffness ratio is unlikely to become negative. Statistical estimation of residual displacement spectrum via normalization with respect to inelastic or elastic spectral displacements is considered and expressions are proposed for both types of normalizations. The statistical dependence of residual displacement on the seismological and site parameters and strong motion duration is also studied and a simple scaling model is proposed in terms of earthquake magnitude, epicentral distance, and geologic site condition parameter for the seismic region of western U.S.A. According to this model, the variation of residual displacement with period primarily depends on the site conditions, and the residual displacements are more sensitive to ductility ratio at low ductility ratios.
机译：已知在地震地面运动过程中经历非弹性位移的结构会承受一定量的残余位移，这可能会使这些残余位移无法使用或不安全。在这项研究中，尝试估计具有给定延性比的弹性完美塑性单自由度振荡器的残余位移。此类振荡器属于适用于钢结构的双线性磁滞模型的一类，屈服后刚度比为零，当屈服后刚度比不太可能变为负值时，可以用于保守估计残余位移。 。考虑了通过归一化对非弹性或弹性频谱位移进行残余位移谱的统计估计，并针对两种类型的归一化提出了表达式。还研究了残余位移对地震学和场地参数以及强烈运动持续时间的统计依赖性，并针对美国西部地震区的地震震级，震中距离和地质场地条件参数，提出了一个简单的缩放模型。在模型中，残余位移随周期的变化主要取决于工地条件，在低延性比下残余位移对延性比更敏感。

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