中文摘要：

建立与抗震规范设防水准相一致的地震动随机模型，给出了非比例阻尼结构体系地震反应运动方程，推导了非比例阻尼结构体系分析的复振型时域闭合解和地震随机响应的闭合解。通过随机响应的峰值因子和变异系数获得了非比例阻尼结构体系的地震随机响应峰值均值和方差，提出了设防烈度下非比例阻尼结构体系随机响应峰值区间估计方法。计算31条实际地震记录的复振型时域闭合解，并与地震随机响应的闭合解进行了比较，算例结果表明随机响应峰值区间估计方法的合理性和有效性。地震响应区间分析方法将是工程抗震设计的一个重要方法。

英文摘要：

The seismic random model of ground motion under earthquake fortification level was given based on the new seismic code. The close forms of complex mode time history response and random seismic response were obtained according to the second order differential equation of ground motion for nonclassically dynamic system. The mean value and variance of random seismic peak response were derived by peak factor and variation coefficient. The interval estimation method of random seismic peak response for non-classically dynamic system under earthquake fortification level is proposed. The maximum time history responses are studied by 31 actual ground records. The mean value of maximum responses is in accordance with that of random seismic peak response. The availability and reasonableness of the method were examined by typical examples. The interval estimation method could be an important method for seismic design in the future.