Abstract
Tuning method of plural TMD with equal dynamic characteristics, which are attached to several arbitrary points, is presented and a numerically determining method of optimal attaching positions of each TMD and optimal allotment of total mass to each TMD, under which maximum response of 1st mode is kept within the limit amplitude and sum of the absolute value of each maximum response in resonance of 2nd and 3rd modes is minimized, is proposed using the optimal design method (Feasible directions method). Usefulness of the optimal tuning procedure of plural TMD is demonstrated from numerical applications for suppression of 1st, 2nd and 3rd vibration modes of simply supported beam and cantilevered beam and optimal number, attaching position and allotment of total mass of plural TMD for both beams are revealed.