Active Vibration Suppression of Axially Moving String via Distributed Force

In the paper the problem of suppression of the waves – traveling along the linear, axially moving string – by the active distributed force is presented. The control law is based upon the idea of wave cancellation. The distributed force density is assumed to be proportional to the string transverse velocity resulting from the original running wave, assumed in the form of packet wave with amplitude modulation. As an objective function of the optimization problem considered the energy dissipated by the damping force segment is taken. Simulation results included demonstrate the effectiveness of the control law assumed and superiority of the distributed damping force over the concentrated force.