Z-transferred discrete-time infinite impulse response filter as foundation–soil impedance function for SDOF dynamic structural response considering soil–structure interaction

This paper proposed a novel dynamic structural analysis of a single-degree-of-freedom system considering soil–structure interaction (SSI). The z-transferred discrete-time infinite impulse response filter serving as a foundation–soil impedance function to get a transfer function between the ground displacement and foundation shear was proposed first. The corresponding time history of the foundation shear caused by a specific input of ground displacement can be determined through the filter obtained, and the succeeding structural responses are then able to be found by the base force propagating function. Case studies comparing the structural dynamic response with and without SSI were carried out. Without consideration of SSI, there was an overestimation of structural displacement for the structure with a shorter period, but in contrast to that, an underestimation for the structure with a longer period was concluded based on the results obtained.