将目前常用的非线性动力状态方程v=H·v+f(v,t)变换为v=H·v+f(v,t)+r(t),其中H·v、f(v,t)和r(t)分别是右端项的线性齐次部分、非线性部分和非齐次荷载项。将精细积分法和预估-校正Adams-Bashforth-Moulton多步法相结合,对非线性动力方程进行求解。数值算例表明:该方法的稳定性和计算精度明显优于现有的Adams-Bashforth-Moulton方法,可用于多自由度结构体系的非线性地震反应分析。 The current nonlinear dynamic equation of state v = H · v + f (v, t) is transformed into v = H · v + f (v, t) + r t) and r (t) are respectively the linear homogeneous part, non-linear part and non-homogeneous load term of the right end term. The fine integral method is combined with the predictor-corrector Adams-Bashforth-Moulton multi-step method to solve the nonlinear dynamic equation. Numerical examples show that the proposed method is superior to the existing Adams-Bashforth-Moulton method in terms of stability and computational accuracy, and can be applied to nonlinear seismic response analysis of multi-degree-of-freedom structural system.