Optimal Dynamic Vibration Absorber for Multi-Degree-of-Freedom Systems (Theoretical Considerations on the Case of Random Input)

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