Optimum design and layout of multiple tuned mass dampers for seismic damage control of steel frame buildings

Abstract

This study introduces a seismic damage-based approach to optimizing the design and layout of multiple-tuned-mass-damper (MTMD) systems. Damage is chosen to represent seismic deformations and cumulative hysteretic energy dissipated in structural members. The objective function is to minimize the average maximum story damage under some independently applied, scaled historical ground motions. Constraints are formulated to achieve a uniform story damage distribution while controlling the maximum stroke length (i.e., displacement) of the TMDs. The binary and real grey wolf optimization algorithms are hybridized to solve the optimization problem. A 10-story inelastic steel moment-resisting frame (SMRF) equipped with one optimized TMD at the roof or an optimized MTMD is used to demonstrate the approach. The results indicate that the MTMD-equipped SMRF sustains the least degree of damage and exhibits the most uniform damage distribution among the evaluated structures. In addition, seismic fragility assessments show that the optimum MTMD significantly reduces the probability of failure for the SMRF across different performance levels.