Simulation of soil–structure interaction (SSI) effects is a time-consuming and costly process. However, ignoring the influence of SSI on structural response may lead to inaccurate results, especially in the case of seismic nonlinear analysis. In this article, wavelet transform methodology has been utilized for investigation of the seismic response of soil–structure systems. For this purpose, different story outrigger-braced buildings resting on two different types of soil have been considered for SSI analysis. For each SSI system, several seismic records, with different values of peak ground acceleration (PGA) and peak ground velocity (PGV), have been first decomposed into approximate and detailed signals using a discrete wavelet transform. Then, seismic responses of the SSI systems subjected to the approximate signal have been evaluated. The results of the study show that, for earthquakes with low PGA/PGV ratio, the error percentage of all the parameters is smaller than 5% for the first level, and the error index is below 10% for the third level. As the PGA/PGV ratio of an earthquake increases, the concordance of approximate results with the main results decreases. However, even for the earthquakes with the PGA/PGV ratio higher than 1.2 g s/m, the first-level approximation can be used to predict seismic responses with at least 90% accuracy while significantly reducing the computational time.

土-结构相互作用（SSI）效应的模拟是一个耗时且昂贵的过程。但是，忽略SSI对结构响应的影响可能会导致结果不准确，尤其是在地震非线性分析的情况下。在本文中，小波变换方法已被​​用于调查土木结构系统的地震响应。为此，已考虑将支撑在两种不同类型土壤上的不同支撑层的建筑物进行SSI分析。对于每个SSI系统，首先使用离散小波变换将具有不同峰值地面加速度（PGA）和峰值地面速度（PGV）的几个地震记录分解为近似和详细的信号。然后，已经评估了遭受近似信号的SSI系统的地震响应。研究结果表明，对于低PGA / PGV比的地震，第一级所有参数的误差百分比均小于5％，第三级误差系数低于10％。随着地震的PGA / PGV比值增加，近似结果与主要结果的一致性降低。但是，即使对于PGA / PGV比高于1.2 g s / m的地震，也可以使用一级近似法以至少90％的精度预测地震响应，同时显着减少计算时间。近似结果与主要结果的一致性降低。但是，即使对于PGA / PGV比高于1.2 g s / m的地震，也可以使用一级近似法以至少90％的精度预测地震响应，同时显着减少计算时间。近似结果与主要结果的一致性降低。但是，即使对于PGA / PGV比高于1.2 g s / m的地震，也可以使用一级近似法以至少90％的精度预测地震响应，同时显着减少计算时间。