Optimum design and performance of a base-isolated structure with tuned mass negative stiffness inerter damper

Abstract

In order to increase the efficiency of the structures to resist seismic excitation, combinations of inerter, negative stiffness, and tuned mass damper are used. In the present work, the optimum tuning frequency ratio and damping of the tuned mass negative stiffness damper-inerter (TMNSDI) for the base-isolated structure were determined by employing the numerical searching technique under filtered white-noise earthquake excitation and stationary white noise. The energy dissipation index, the absolute acceleration, and the relative displacement of the isolated structure were considered as the optimum parameters, obtained by their maximization. Evaluations of base-isolated structures with and without TMNSDI under non-stationary seismic excitations were investigated. The efficiency of the optimally designed TMNSDI for isolated flexible structures in controlling seismic responses (pulse-type, and real earthquakes) were evaluated in terms of acceleration and displacement. A dynamic system was used for deriving the tuning frequency and tuned mass negative stiffness damper inerter (TMNSDI) for white noise excitation by using explicit formulae of the curve fitting method. The proposed empirical expressions, for design of base-isolated structures with supplementary TMNSDI, showed lesser error. Fragility curve results and story drift ratio indicate reduction in seismic response by 40% and 70% in base-isolated structure using TMNSDI.

Equivalent Linearization and Parameter Optimization of the Negative Stiffness Bistable Damper

“…∥y∥ 2 (25) where y represents the system's output, w represents the seismic input, and ∥y∥ 2 and ∥w∥ 2 are defined as their L 2 norms, symbolizing the system's output energy and the earthquake's energy, respectively. From this derivation, it becomes evident that the NSBDstructure system's output energy diminishes as H∞ norm decreases; thus, achieving the minimum value of H∞ ensures the optimal damping effect of the NSBD.…”

“…Shi and Zhu [20,21] and Shi et al [20][21][22] investigated the significant vibration-damping performances of two innovative devices of magnetic negative stiffness dampers (MNSDs) compared with different active control approaches, as successfully verified by laboratory experiments. Furthermore, numerous other innovative negative stiffness dampers [23][24][25][26][27][28] have been explored for the vibration damping of structures, showing a significant control effect.…”

Parameter optimization of vibration control system for adjacent building structures based on negative stiffness inerter damper

“…The combination of inerter and QZS system gives full play to the advantages of both devices, while mixed-connected type vibration isolators show the best vibration isolation performance 12 , 13 . The introduction of tuned mass negative stiffness inerter damper in base-isolated structures can significantly reduce the seismic response 14 . In practical engineering, vibration isolators need to be designed according to different engineering conditions and mechanical device requirements for vibration isolation to ensure that they can effectively reduce vibration transmission and protect equipment safety.…”