Optimal Suppression of Vibrations of a Moving Elastic Web

The translational movement of an elastic web (panel) performing transverse vibrations caused by initial disturbances is considered. It is supposed that the web moving with a constant translational velocity is described by the model of an elastic panel (beam) with supported edges of the examined span. The problem of the optimal suppression of vibrations of a multispan panel (web) supported at discrete points is formulated with consideration of forces applied to the web. In order to solve the optimization problem, we use modern methods developed with the control theory of distributed parameter systems described by partial differential equations.