基于能量的平稳地震动功率谱转换关系持时取值研究  

Study on duration of conversion of stationary power spectral density based on energy

作　　者：王德才[1] 华贝 叶献国[2] 

机构地区：[1]合肥工业大学建筑与艺术学院,合肥230601 [2]合肥工业大学土木与水利工程学院,合肥230009

出　　处：《应用力学学报》2017年第5期828-834,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51378167);安徽省自然科学基金(1708085QE103)

摘　　要：功率谱密度函数与反应谱的转换关系广泛应用于随机振动分析和人工地震动合成过程中,地震动持时对转换结果有着重要的影响。依据傅里叶幅值谱精确计算输入能量谱方法,并结合功率谱与幅值谱的关系,建立了与功率谱相对应的输入能量谱。以大量地震动记录统计得到的输入能量谱作为参考,提出了功率谱与设计谱转换过程中持时的确定方法。以Ⅱ类场地为例,选择了多条天然地震动记录和谱匹配时域调整记录进行统计计算,确定了合理的持时取值,通过人工合成记录验证了持时取值的合理性。The conversion between power spectral density functions and response spectra is widely used in random vibration analysis and procedure of generating artificial ground motions, where duration has significant influence on the results. The synthetic input energy spectra are calculated to match power spectral density based on method of exact computation of input energy spectra from Fourier amplitude spectra and the relationship between power spectral density and Fourier amplitude spectra. By comparison with mean input energy spectra of large numbers of ground motion records, a method for determining the duration of the conversion is proposed. Natural ground motion records under type II soil condition and spectrum-compatible time domain adjusted records are selected to perform a statistic analysis and then the reasonable value of duration is determined. The rationality of duration is validated by artificial records.

关 键 词：功率谱密度 设计反应谱 持时 输入能量谱 地震动记录 

分 类 号：P319.5[天文地球—固体地球物理学]