Displacement profile for direct-displacement based seismic design of dual frame-wall resilient system

One significant challenge in the application of the direct displacement-based design (DDBD) method to the resilient seismic resistant dual frame-wall lateral force-resisting system consisting of high-strength moment-resisting frames (HS-MRFs) and self-centring steel plate shear walls (SC-SPSWs) is the determination of the displacement responses at various performance levels, including immediate occupancy (IO), damage control (DC), life safety (LS) and collapse prevention (CP). To address this, a multi-degree-of-freedom (MDOF) model was first introduced. A total of 384 prototype buildings, including 5-, 8-, 12- and 15-storey structures, were designed, considering variations in structural span length, the number of HS-MRF, post-yielding stiffness of both HS-MRF and web plate, and web plate thickness. Subsequently, 76800 times nonlinear time–history (NLTH) analyses were conducted. The results demonstrate that the prototype buildings closely align with the conceptual performance-based design. Lateral deformation responses are significantly influenced by factors such as performance levels, the number of storeys, and the overturning resistance ratio of subsystems, while the post-yielding stiffness appears to have a relatively lesser impact. A displacement-profile model was developed based on the NLTH analyses, and all the adjusted R-squared values (Adj.R²) for different performance levels were found to exceed 0.93, validating the accuracy of the model. To further validate the displacement-profile model, an additional set of prototype buildings with 6, 10 and 14 storeys were designed. The NLTH analysis results indicate that the lateral deformation responses in these structures can be effectively predicted by the displacement-profile model.