Ductility Inverse-Mapping Capacity Spectrum Method for Variable Level of Ground Motion

本文提出了一种含被动阻尼器的单自由度体系的延性逆映射方法，该方法可以求出给定最大反应变形时的最大地震动加速度。在传统的能力谱方法中，最大反应变形是通过迭代过程计算的最大地面运动加速度的规定。这是因为用于响应评估的等效线性模型是根据未知的最大变形来描述的。与传统的能力谱法需要逐次计算不同，本文方法不需要数值上不稳定的迭代过程。

A ductility inverse-mapping method for SDOF systems including passive dampers is proposed which enables one to find the maximum acceleration of ground motion for the prescribed maximum response deformation. In the conventional capacity spectrum method, the maximum response deformation is computed through iterative procedures for the prescribed maximum acceleration of ground motion. This is because the equivalent linear model for response evaluation is described in terms of unknown maximum deformation. While successive calculations are needed in the conventional capacity spectrum method, no numerically unstable iterative procedure is required in the proposed method.