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We present our works concerning controllability problem for Timoshenko beams rotating in a horizontal plane. Characterization of the set of null-reachability is given, the optimal control problem is stated and a numerical method of obtaining the solution is presented.
This paper continues the authors' previous investigations of stability of a slowly rotating Timoshenko beam whose movement is controlled by the angular acceleration of the driving motor into which the beam is rigidly clamped. We consider a viscoelastic damping operator with respect to both variables - deflection of the center line, and rotation angle of… (More)