Optimum design of tuned mass damper floor system integrated into bending-shear type building based on H_∞, H₂, and stability maximization criteria

A new vibration control system integrating multiple tuned mass damper (TMD) floors into building structures was recently proposed by the authors, which has been demonstrated to be highly effective in mitigating both interstory drifts and floor accelerations for low-rise and medium-rise buildings. Actually, this system is attracting especially for tall buildings, which may not be suitable for base isolation because large tensile forces exert on them. This paper aims to investigate the control effect of the proposed TMD floor system for high-rise buildings that are represented as bending-shear type models. An optimum design criterion integrating stability maximization criterion is developed for such a multi-degree-of-freedom TMD floor integrated high-rise building system. Additionally, a multi-objective optimization genetic algorithm Nondominated Sorting Genetic Algorithm II is employed to solve the multi-objective optimization problem with the combination of the stability maximization criterion and H_∞ or H₂ criterion. Two series of numerical simulations, that is, the cases in which all the floors serve as TMDs and only a limited number of floors serve as TMDs, are conducted. The favorable performance of the proposed TMD floor system for high-rise buildings is demonstrated by comparisons with a fixed floor building equipped with additional high-damping devices achieving 10% first modal damping ratio under a various of seismic excitations. The TMD floor system is verified to have satisfying control effect, which can also solve the post-earthquake long-duration vibration problem of high-rise buildings observed in the 2011 great Tohoku earthquake.