A Study on Active Dynamic Absorbers

Although it is known that active dynamic absorbers are useful for controlling the 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 the use of the LQ optimum control theory. First, nondimensional representations of the state space formulation of the structure and active dynamic absorber system, the state feedback gain matrix, and the weight matrix are constructed to obtain a generality. Secondly, the relationship between the vibration control effect and parameters of the weight matrix are clarified for designing. The design data are prepared as the nondimensional root locus, the frequency response, and the impulse response charts. The effectiveness of the active dynamic absorber designed through this method is demonstrated experimentally.