Abstract
We propose the design method of an active dynamic absorber for controlling vibrations of multi-degree-of-freedom systems using the LQ control theory. The reduced-order model of multi-degree-of-freedom systems is made using the new modeling method proposed here. First, in order to obtain generality for designing the control system, the state equations of the structure included an active dynamic absorber, and the state feedback gain matrix and weighting matrix are represented by the nondimensional equations. Secondly, the relationship between the vibration control effects and parameters of the weighting matrix is clarified for designing. The design data are prepared as the nondimensional root locus. Effectiveness of the active dynamic absorber designed by this method is demonstrated experimentally.
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