Input motion inversion in elastoplastic soil model using modal iterative error correction method

In conducting simulation analyses for the safety assessment of buildings following an earthquake, the input motion should be set to reproduce an observed wave at an observed point. If the analysis model is linear, the input motion can be easily set, whereas it is difficult to do so if the analysis model exhibits nonlinearity. This study proposes a new time‐domain inversion method using a generalized inverse of the perturbation impulse matrix and the iterative method. First, the method outline and details are described. Second, the effectiveness of the method is verified through experimentation. As a result, it is verified that the input motion that reproduces the surface response of a nonlinear soil model can be calculated using the proposed methods. It is confirmed that the proposed methods for inversion in nonlinear soil models is very effective, the analysis of which has been difficult until now. This paper propose a new method of setting the input motion to reproduce a designated waveform in a nonlinear soil model. The proposed MIEC method is a system identification method that uses singular value decomposition of an impulse response matrix to select significant modes and repeatedly correct the error.