Generation of Time History Compatible with Multi-Damping Response Spectra

Based on the method developed by M. Hirasawa and M. Watabe (1992), the authors deduced the related mathematical formulas. Taking an artificial ground motion compatible with single-damping as the original time history, a small corrected time history was calculated by solving linear equations using a singular value decomposition method. We performed iteration to obtain the simulated earthquake motion compatible with multi-damping within a certain accuracy. The influences of selective matching frequencies are discussed preliminarily. Although the current criterion still has no explicit demand on different numbers of matching frequencies for various damping factors, it should be taken into account in practice.

同时满足多个阻尼反应谱的人造地震动时程合成

应用Ｍ．Ｈｉｒａｓａｗａ和Ｍ．Ｗａｔａｂｅ（１９９２）提出的方法，进行了相应的数学推导：即以满足某个阻尼比的反应谱的人造地震动作为初始时程，采用奇异值分解法，通过解线性方程组求出校正时程，并经多次叠代以逐步逼近，最后得到了在一定精度范围内能满足多个阻尼比的反应谱的加速度时程。文中对控制频率点的作用和选取进行了初步的讨论，认为尽管现行的规范对不同阻尼比的控制频率点数尚无明确的规定，但在实际工作中应给予必要考虑。