第１部門①

[11001-05-04] Data-driven seismic response analysis based on dynamic mode decomposition with time-delay embedding (Proceedings of Symposium on Applied Mechanics)

*Akihiro Shioi^1,2, Yu Otake¹, Ikumasa Yoshida³, Shogo Muramatsu⁴ (1. Tohoku University, 2. KOZO KEIKAKU ENGINEERING Inc., 3. Tokyo City University, 4. Niigata University)

Keywords:dynamic mode decomposition, time-delay embedding, seismic response analysis, data-driven, koopman operator

This study aims to develop a data-driven method for seismic response analysis based on the simultaneous analysis of seismic acceleration records in three directions at the ground surface and engineering bedrock. In seismic response analysis, it is necessary to take into account the non-stationarity of seismic motions and the nonlinearity of geomaterials. Therefore, we propose a method that combines time-delay embedding and dynamic mode decomposition. In this study, we apply the proposed method to actual observation records and construct a high-dimensional linear model that reproduces the seismic response with high accuracy, thereby demonstrating its effectiveness for extrapolation estimation.