摘要
地震地面运动具有强烈的随机性,地震地面运动随机过程的功率谱密度函数和相关函数对结构随机地震反应分析具有重要意义。综合国内外的研究成果,介绍了四种常见的地震地面运动模型,分别阐述了各个模型的适用范围和物理意义,并给出功率谱密度函数及滤波方程;对于各个模型的相关函数则给出了两种求解方法,一种通过滤波方程,引入状态向量建立状态方程,由振型叠加原理进行推导,另一种通过自相关函数与功率谱密度函数存在的傅里叶变换关系,利用复变函数理论中的留数定理进行推导。所计算的地震地面运动模型的相关函数为结构随机地震反应时域分析提供有益的参考。
Earthquake ground motion has proved to be strongly stochastic.Its spectral density function and correlation function have great significance to the stochastic seismic response analysis of structures.On the basis of comprehensive study of research work of earthquake ground motion home and abroad,four modals of earthquake ground motion are presented based on their scope of application and physic meaning.Furthermore,the spectral density functions and filter equations of the four modals are generalized.For the correlation functions of the models,two methods are deduced.One is by the filter equations and state equations.The other is by the relation between correlation function and spectral density function and the residue theorem in the complex variable function theory.The correlation functions of the common modals of earthquake ground motion conduce to great value for random response analysis.
出处
《建筑监督检测与造价》
2009年第6期15-18,31,共5页
Supervision Test and Cost of Construction
关键词
地震地面运动模型
滤波方程
留数定理
相关函数
earthquake ground motion modal
filter equation
residue theorem
correlation function
