Abstract

Although it is known that active dynamic absorbers are useful for controlling vibration of structures, the design method for popular usage has not yet been established. This paper proposes the design method of the active dynamic absorber by use of the LQ optimum control theory. First, nondimensional representation of the state equation of the structure and active dynamic absorber system, the state feedback gain matrix, and the weight matrix, respectively, are constructed to obtain a generality. Secondly, the relationship between the vibration control effect and parameters of the weighting matrix are made clear for designing. The design data are prepared as the nondimensional root locus, frequency response, and impulse response charts. Effectiveness of the active dynamic absorber designed through the method is demonstrated experimentally.

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