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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)
The paper is a continuation of our previous work on the controllability problems of a slowly rotating Timoshenko beam. The optimal control problem for this system is stated and the numerical method of obtaining its solution is given. Our approach is based upon the use of a special character of functions generating a corresponding moment problem.