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根据隔震结构的特，点提出解耦假定，建立了振动系统分解法，将多层隔震框架的串联多质点振动体系分解为结构与基底限位阻尼器组成的弹塑性刚体滑移振动和上部结构体系内部的弹性相对振动两个系统．针对相对坐标系下的弹塑性滑移振动运动方程，用Ｗｉｌｓｏｎ－θ法构造了系统分解法直接动力分析新算法．通过输入不同地震波显示，使用系统分解法求得的上部结构动力反应与普通直接动力分析法结果相差不大，但却可将隔震器设计阶段的弹塑性动力分析简化为单自由度体系．
According to the special characteristics of the isolated structure, the decoupling assumption is proposed and the vibration system decomposition method is established to decompose the series-multi-point vibration system of the multi-layer vibration isolation frame into the elastic-plastic rigid body slip vibration consisting of the structure and the base-position damper. The two systems of elastic relative vibration in the upper structural system. Aiming at the elasto-plastic slip motion equation in relative coordinate system, a new method of direct dynamic analysis of system decomposition method was constructed by Wilson-θ method. By inputting different seismic waves, the dynamic response of the superstructure obtained by using the system decomposition method is not much different from that of the ordinary direct dynamic analysis method, but the elasto-plastic dynamic analysis at the design stage of the isolator can be simplified to a single degree of freedom system.