Abstract:The inerter system can control multiple performance objectives of the structures, but the existing inerter-based structural design methods mainly focus on a single performance indicator. To meet the safety and functional requirements of structures, a compound multi-objective targeted control design method for inerter-based seismic mitigation structures combined with nonlinear viscous damping elements was proposed. The method aims at both displacement and acceleration control indices, e.g. the inter-story drift angle and the absolute acceleration. To determine the parameters of the inerter system and the installation position of the inerter, the principle of master degree of freedom and analytical design formulas are utilized. In this method, the relative deformation at the installation location is considered as the master degree-of-freedom, and the shape of the targeted control mode is considered as a structural deformation shape. By transforming the complex original structure into a master oscillator structure with the inerter, the parameters can be easily determined based on the use of closed-form design formulae. A standard model is taken as an example to demonstrate the applicability of the proposed method. Nonlinear damping elements are used in the inerter system, and the influence of the support stiffness on the mitigation performance is considered. The results show that this method can satisfy the performance indicators of inter-story drift and floor absolute acceleration with smaller inerter system design parameters. The structural safety and normal use function requirements are met, which comply with the latest codes and standards. This multi-objective performance control strategy is expected to provide powerful guidance for practical engineering structure design.