Purpose <p>Experimental analysis of grooving with slender blades reveals two chatter types: regenerative diametrical chatter and mode-coupling snaking chatter on the side walls, linked to two distinct vibration modes. Since grooving is a fixed width of cut operation, traditional stability diagrams offer little guidance for selecting chatter-free cutting parameters. Hence, the only feasible strategy is to damp the two modes responsible for contributing to chatter. Though blades exist to damp diametrical chatter, but no solution yet addresses the mode responsible for snaking chatter. This paper discusses a remedy for that problem by showing how two absorbers can be integrated within the blade.</p> Methods <p>Classical analytical methods to tune absorbers assume that there is just one mode and one absorber that requires tuning. Since we require two to be tuned in different directions, we propose a new solution using multi-component receptance coupling. We treat the blade and absorbers as separate subsystems, then combine receptances to find absorber parameters that minimize the assembled system’s response.</p> Results and. conclusions <p>Model predictions show that the newly conceptualized blade can damp the peak amplitude of the in-plane bending mode by 53% and of the out-of-plane bending mode by 67%. The absorber parameters we identified are realistic, and the simulation-based results are promising. Together, these support the design, development, and prototyping of new damped blades with two integrated absorbers. Our methods are also easily extendable to other systems requiring the integration and tuning of multiple absorbers.</p>