Many studies on the inelastic response spectra have mainly focused on structures with the conventional hysteretic behavior. However, for self-centering structures with the flag-shaped (FS) hysteretic behavior, the corresponding study is limited. The primary aim of this study is to investigate the inelastic response spectra of self-centering structures with FS hysteretic behavior subjected to the near-fault pulse-type ground motion. To this end, the smooth FS hysteretic model based on Bouc–Wen model is developed, and the characteristics of pulse-type ground motions are described in detail. It is found that the general features of inelastic response spectra of the FS model are sensitive to the acceleration-, velocity-, and displacement-sensitive spectral regions of the ground motion. The inelastic displacement, velocity, acceleration, and ductility factor spectra of the FS hysteretic model for pulse-type ground motions are much larger than those for ordinary ground motions, while the residual displacement spectra under the two types of ground motions are both very small due to its self-centering capacity. Moreover, the inelastic response spectra are affected by the ground motion characteristics and structural hysteresis behavior, especially the large pulse period and peak ground velocity (PGV) significantly increase the inelastic displacement, velocity, and acceleration spectra.

关于非弹性响应谱的许多研究主要集中在具有常规滞后行为的结构上。但是，对于具有旗形（FS）滞后行为的自定心结构，相应的研究是有限的。这项研究的主要目的是研究在近断层脉冲型地震动作用下具有FS滞回特性的自定心结构的非弹性响应谱。为此，建立了基于Bouc–Wen模型的光滑FS滞回模型，并详细描述了脉冲型地震动的特征。发现FS模型的非弹性响应谱的一般特征对地面运动的加速度，速度和位移敏感谱区域敏感。非弹性位移，速度，加速度，FS滞回模型的脉冲型地面运动的延性和延性因子谱远大于普通地面运动的延性谱，而由于其自定心能力，两种地面运动下的残余位移谱都非常小。此外，非弹性响应谱受地震动特征和结构滞后行为的影响，特别是大的脉冲周期和峰值地速（PGV）会显着增加非弹性位移，速度和加速度谱。