摘要
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.
引文
1 Hino ,M .Spectralanalyses .Asakurashoten .Japanese ,1997
2 Omote .S .,Maeda ,J .Narahashi.H .Spatialcorrelationsofthegroundmotionrecordedbythestrongmotionearthquakesinstru mentarray -vibrationalcharacteristicsofthegroundattheHi gashi -Matsuyamasubarraystations ,Proc/6thJapanEarthq .Engr .Sympo .1982 .2 2 5~ 2 32
3 Tomiazwa .M .Leastsquaresestimationofdynamicalcharacter isticsofsoillayerandofpowerspectraldensityofbedrockexcita tion ,Proc .5thJapanEarthq .Engr .Sympo .1978.81~ 88
4 Akaike ,H .Nakagawa ,H .Statisticalanalysisandcontrolofdy namicsystem ,Saiensusha .Japanese ,1972
5 Akaike .H .Fittingautoregressivemodelsforprediction ,An ninst .Statist .196 9,2 1.2 43~ 2 47
6 Akaike .H .Powerspectrumestimationthroughautroegressivemodelfitting ,Ann .Inst .Statist.196 9,2 1.40 7~ 419