地震地面运动功率谱分析中自相关回归法的数学过程研究

Study on Mathematical Processing of Auto-Regressive Model (ARM) in Power Spectral Analysis of Ground Motion by Earthguake

本文扼要叙述了用于离散时程数据的功率谱分析的自相关回归法 (ARM)的数学过程。本研究进一步确认了赤池氏提出的ARM在地震工程中的适用性。特别是该方法具有由少量随机数据可得稳定、光滑的功率谱密度函数的优点 ,从而 ,可以有效地用来研究地震地面运动的非平稳谱特性。本研究的成果对于高层建筑抗震设计有一定的参考价值。

This paper briefly introduces the mathematical processing of ARM used in power spectral analysis of discrete time-histories data and confirms the usalitity of ARM in earthquake engineering. This method can obtain the stable and smooth power spectral density function from a few random data and can be used for studying the non-stationary spectral characteristics of ground motion by earthguake. The achievements of the study has a certain reference value for anti-seismic design of high-rise buidings.