Abstract
Using the optimization algorithm, design parameters of Multi-Tuned Mass Damper systems composed of a few dampers (a-few-TMD systems) are optimized with respect to two kinds of robust widths. One is the robust width against the variance in the natural frequency of the structure and the other is that against the variance in the damping coefficient of TMD. A-few-TMD systems gain advantage over conventional single types in terms of these two robust widths. Through parametric studies, a set of robust design formulas for a-few-TMD systems with uniform mass distributions is derived. The design formulas cover the practical range of the mass ratio in control of civil structures (0.001 to 0.04) and are composed of functions of design conditions, that is, the total mass ratio and the required additional damping coefficient.
