Norm selection for evaluation criterion for placement planning of active damping devices in structure

Active vibration control has been widely investigated in civil engineering. This study considers the problem of selecting a norm for an evaluation criterion for the planning of the placement of active damping devices (ADDs) in a structure in active vibration control. Using a 4-degree-of-freedom system as an example, we compare the commonly used 2-norm and ∞-norm, and show that the 2-norm is a suitable choice for the performance index of the placement planning of ADDs.