Abstract
As for the prediction of nonlinear earthquake response of a single-degree-of-freedom system with Takeda's hysteretic model, the authors have proposed an equivalent linearization method based on the asymmetric steady state response, which gives the average value of the maximum responses obtained from the time history response analysis using twenty-five design input ground motions with random phase. In this paper, the variation of the maximum response from the average value is discussed in detail, and it is shown that the variation of the maximum response can be expressed by that of the symmetric ratio of response and that of the displacement amplitude. Finally, a method for the maximum response considering the two variations is proposed. The method gives good agreement with the results of the time history response analysis using the design input ground motions with actual phase of some observed ground motions as well as random phase.
