Optimal dynamic vibration absorber for multi-degree-of-freedom systems. (Theoretical consideration in the case of random input)

This study deals with the optimization problem of a dynamic vibration absorber (DVA) for multi-degree-of-freedom systems subjected to random input with a dominant frequency. A new design method, which optimizes the parameter of DVA composed of such passive elements as a spring and a damper, is proposed. In this method, a suboptimization method based on the optimal control theory is applied for the optimization problem with control structure constraints due to passive elements. This method can consider the input information and the constraints on the stroke of DVAs. The vibration control performance of this method is investigated and is compared with the previous method, in numerical calculations. As a result, the usefulness of the present method is verified.