基于反应谱计算的基本原理,对于单自由度弹性体系在水平地震运动xg(t)作用下的动力平衡微分方程,分别使用gradient和diff进行计算,并与使用cumtrapz命令积分计算的精确计算反应谱积分公式和简化的反应谱计算积分公式值进行了比较,xg(t)分别选取了实测的爆炸震动数据和天然地震数据,经过计算发现,对于高频比较显著的爆炸震动波,用上述方法计算出的反应谱在低频部分有小的差别,对反应谱的整体特征影响不大.但对于低频比较显著的天然地震波,用cumtrapz积分计算的积分公式与用diff命令计算的微分方程结果接近,用gradient命令计算的结果误差较大,因此在计算富于低频的震动波的反应谱时,用gradient命令求微分方程是不合适的.-Based on the basic principle of response spectra calculated for a single degree of freedom elastic system under horizontal seismic movement xg (t) the role of dynamic equilibrium equations were calculated using the gradient and the diff and calculate integrals using cumtrapz command accurate calculation of response spectra integral formula and simplified response spectrum integral formulas to calculate values ​ ​ were compared, xg (t) were selected measured vibration data explosion and natural seismic data, through calculated that more significant for high-frequency shock waves of explosions, calculated using the above method the response spectrum in the low frequency part of a small difference, is not characteristic of the overall impact of the response spectrum, but more significant for low-frequency seismic waves natural, integral formula calculated by cumtrapz integral equations with the results of calculations using the diff command to close by the results gradient calcu