中文摘要：

基于由随机振动理论得到的功率谱密度与加速度反应谱之间的关系,以及由傅里叶幅值谱精确计算输入能量反应谱方法,提出了建立与设计加速度反应谱匹配的输入能量谱方法。计算了与《建筑抗震设计规范》（GB50011-2010）设计反应谱匹配的输入能量谱,通过与实际强震记录输入能量谱特征对比,对设计反应谱长周期段输入能量特征进行了分析。结果表明,由于规范设计谱长周期段取值比较保守,在长周期段输入能量随着周期变长逐渐增加,与实际地震动记录输入能量谱长周期特征明显不同。根据实际强震记录输入能量谱特征,给出了设计反应谱长周期直线下降段的取值建议。

英文摘要：

The process of calculating input energy spectrum from Fourier amplitude spectrum and the correlation between power spectral density and acceleration response spectrum on the basis of random vibration theory are introduced. The approach of calculating the input energy spectra compatible with design acceleration response spectrum is proposed based on the above theory. The synthetic input energy spectrum is calculated to match the design spectrum of ＂Code for aseismic design of buildings（GB 50011-2010）＂. The input energy characteristics of design acceleration response spectra in long-period ranges are analyzed through comparing with the input energy spectra of real accelerograms. The results show that the input energy increases with the period in the long-period range, which are significantly different from the feature of real accelerograms. A revision for the design spectra in long-period ranges is recommended according to the characteristics of the input energy spectra of real accelerograms.