Incremental Power-Based Seismic Analysis: An Application to the Tunnel-Soil-Pile Interaction Model

This research presents the incremental power-based seismic analysis (IPSA) technique by proposing formulations, and these formulations are implemented on the previous experimental steel and concrete tunnel-soil-pile interaction (TSPI) models.

For this reason, the square root sum of squares (SRSS) and root mean square (RMS) incremental momentum power (IMP) are evaluated by using proposed formulations and previous experimental data in the cases of the tunnel and pile.

The differences of the SRSS and RMS responses of the steel and concrete tunnels and piles are calculated by using proposed formulations for Kobe seismic excitation with various peak ground accelerations of 0.05 g, 0.10 g, 0.15 g, and 0.20 g. The accuracy of the IPSA technique is evaluated for the SRSS and RMS responses of the tunnel and pile which is proved by using an example. The slight difference (< 2.5%) is found for the variations of the two locations (tunnel or pile) SRSS and RMS IMP.

The maximum fluctuation of the mass normalized incremental kinematic power (MN-IKP) is found within a range of (− 0.001 to 0.001) m²/s³. The accuracy of the IMP (98.7–100%) is higher than the moment (94.94–99.01%) in the cases of the tunnel and pile of the TSPI model.