Seismic design method of high-performance structure based on gradient function

As seismic research advances, the concept of seismic design that prioritizes both structural safety and post-earthquake operational functions has received increasing attention. Numerous high-performance structural systems with redundant members or damage-reduction elements have emerged continuously, and the structural function degrades progressively as different seismic defense lines are compromised. Therefore, this paper proposes a gradient functional seismic design method suitable for high-performance structures. By managing the damage sequence and degree of different seismic fortification lines in the structure, the structural function is reduced according to the expected gradient, ensuring structural resilience under different level of seismic fortification. This method categorizes the functional gradient into three stages: serviceability, damage control, and collapse prevention. By correlating structural function with component damage, the method translates the desired functional targets of the structure into specific damage targets for each component, establishing a seismic design process that considers diverse functional goals. The results of numerical example demonstrate the accuracy and practicability of this method.