Optimal Seismic Design of High‐Rise Buildings With Outrigger Tuned Inertial Mass Damper

ABSTRACT This paper presents a novel optimization method for designing a system with a tuned inertial mass electromagnetic transducer (TIMET) damped outrigger (DO) for high‐rise buildings subjected to earthquakes. The DO system consists of the TIMET devices, which attach vertically between the outrigger and the perimeter columns. The TIMET system can dissipate the kinetic energy by converting it into electrical energy through a motor. The TIMET devices can also be tuned to exploit the resonance effect and enhance the damping. By installing multiple DO systems along the height of the building, different vibration modes can be controlled by adjusting the parameters of each TIMET device. The optimization problem involves finding the DO systems' optimal number, location, and configuration parameters to minimize the structural response. On a regular basis, the system is also used to generate green energy from wind vibrations; however, in this paper, the focus is on the control of earthquake responses. To reduce computational effort, the problem is solved in the frequency domain using the Lyapunov equation, while the earthquake load is modeled using a modified Kanai‐Tajimi filtered white noise. This study presents an efficient solution framework that leads to optimized initial configurations of the DO‐TIMET systems. These could serve as advanced starting points for designs, streamlining the subsequent fine‐tuning process for final implementation and offering an effective pathway to mitigating seismic risk in high‐rise structures. Author's Novelty Novel Optimization Framework : Introduces the first formal, gradient‐based optimization for designing DO‐TIMET systems, effectively finding optimal solutions for the complex, non‐convex problem. Superior Solution Quality : Delivers solutions that are demonstrably better than those from established analytical and stochastic methods. The proposed gradient‐based approach is also significantly more computationally efficient than stochastic optimization. Multi‐Mode Control Strategy : For the first time, it optimizes multiple DO‐TIMET systems to simultaneously control several structural vibration modes in high‐rise buildings. Comprehensive and Practical Design : The optimization simultaneously determines the ideal number, location, and parameters for each damping unit, providing a robust initial design for engineers.