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This paper presents a double-mass dynamic vibration absorber (DVA) that rapidly reduces the motion of the object to be damped (main system) and converts it to the motion of the DVA. In this way, the DVA attenuates the vibration of the main system. A DVA is usually designed to improve the resonance amplitude and convergence time of the main system vibration, and the kinetic energy of the main system is dissipated as heat in the damping element of the DVA. We describe a novel configuration consisting of two DVAs connected by a spring and an inerter. This new structure enables a rapid response reduction of the main system and residual vibration in the DVA. By tuning the responses of both the main system and the DVA, two vibration modes can be realized: a damping mode and a residual vibration mode. The proposed device is optimized using a genetic algorithm and applied to a bridge to demonstrate its performance. [ABSTRACT FROM AUTHOR]