Optimal damping coefficient of a slowly rotating Timoshenko beam

This paper continues the authors previous investigations of stability of the slowly rotating Timoshenko beam whose movement is controlled by the angular acceleration of the disk of the driving motor into which the beam is rigidly clamped. We consider the problem of optimal value of damping coefficient of a particular type of viscoelastic damping operator. To determine location of spectrum of an appropriate operator we use a transfer function method.