同时满足多个阻尼反应谱的人造地震动时程合成

Generation of Time History Compatible with Multi damping Response Spectra

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。

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