This paper proposes a multi-degree-of-freedom dynamic absorber, which has multiple auxiliary masses and can suppress multiple vibration modes of structures passively during earthquake. The designable parameters of the dynamic absorber are determined by utilizing a theory of H∞ static output feedback control and by solving a Bilinear-Matrix-Inequality (BMI) problem. Finally, numerical simulations for the two-degree-of-freedom dynamic absorber show the advantages of the proposed method compared with the conventional single-degree-of-freedom dynamic absorber.

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