It is well known that the soil damping depends both frequency and strain and the damping is considered as the sum of the hysteretic damping and the scattering damping. In the previous paper, the time history nonlinear ground response analysis method using the causal models for both the hysteretic damping and the scattering damping was proposed. The basic characteristics of the proposed method were studied using the 1 DOF model and the validity of the method was confirmed. In this paper, nonlinear causal hysteretic damping model was applied to the multi node system soil model. The response behavior was compared with the conventional model e.g. Ramberg-Osgood model and SHAKE model. The characteristics of proposed model were studied concerning to the effects of element division, the effect of the peculiar parameters for the model, and the effects of the frequency dependency that is the strong feature of the model. The efficiency of the model was confirmed by these studies.
