Targeted Dual‐Objective Optimization of an Inerter Isolation System for Concurrent Displacement and Acceleration Mitigation

ABSTRACT Current research on dual‐objective optimization designs aimed at the targeted dual‐control of displacement and acceleration remains limited. This study investigates a single‐degree‐of‐freedom (SDOF) structure with an inerter isolation system. The inerter isolation system comprises a tuned viscous mass damper (TVMD) and a rubber bearing connected in parallel, termed the TVMD‐rubber isolation system (TRIS). Through comparative analysis with conventional isolation systems, a dual‐objective performance control framework is proposed to simultaneously optimize the isolation displacement mitigation ratio and the absolute floor acceleration mitigation ratio. The relationship between TVMD design parameters and the dual control objectives is analyzed, revealing that for prescribed displacement and acceleration mitigation demands, minimizing the stiffness ratio of the inerter system enables the targeted control of both responses. On this basis, a multi‐objective optimization approach is proposed for the inerter isolation system that incorporates targeted dual‐control of displacement and acceleration responses. Numerical case studies confirm the efficacy of the proposed approach, showing that optimized inerter isolation system parameters achieve statistically targeted control of both isolation displacement and absolute floor acceleration under white noise excitation and selected ground motion. Furthermore, the effectiveness of this targeted control is proven to remain robust even when accounting for the nonlinearity of the superstructure.