The active control study of a damped two-level smart spring system

The vibration reduction performance of a damped two-level smart spring system is studied. The governing equations of the smart spring system are reduced to a first-order ordinary differential equation of matrix form. An active control algorithm employing the relative velocity relationships between the primary and auxiliary systems to prevent the movement of the controlled object is applied in the simulation. Different excitation types are considered to fully examine the validity of the control law. Responses of the controlled object under the control law are obtained and compared to the case of constant friction and the case of no control. The study indicates that the active control algorithm shows a good vibration reduction efficiency and a wide vibration reduction bandwidth.