Dual-Demand-Based Optimal Design of Grounded Tuned Mass Damper Inerter for Seismic Response Mitigation

Compared with tuned mass damper (TMD), grounded tuned mass damper inerter (GTMDI) has higher damping efficiency and wider vibration control range. In the previous study of GTMDI design method, there was no clear basis for the determination of mass ratio and inerter-mass ratio simultaneously, and only the values of stiffness ratio and damping ratio can be determined in detail. For the deficiency, a global optimization design method of GTMDI is proposed in this paper with the two objectives of the performance demands of the original structure and the deformation performance of the damping element, namely, dual-demand-based optimal design method (DDOM). And the optimization objectives and optimization basis of the mass ratio and inerter-mass ratio are given in detail. After the target vibration mitigation ratio of the original structure is determined, four optimal design parameters of GTMDI can be obtained simultaneously by DDOM. The design concept of DDOM is that better energy dissipation effect is obtained through the deformation enhancement of damping element to control the vibration response of the main structure. At the same time, the values of optimal parameters of GTMDI are small, so the cost control can also be realized by DDOM.