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1 results

  • Controllability of a slowly rotating Timoshenko beam

  • Martin Gugat
  • Journal:
    ESAIM: Control, Optimisation and Calculus of Variations / Volume 6 / 2001
    Published online by Cambridge University Press:
    15 August 2002, pp. 333-360
    Print publication:
    2001

  • Consider a Timoshenko beam that is clamped to an axis perpendicular tothe axis of the beam.We study the problem to move the beam from a given initial stateto a position of rest, where the movement is controlled by the angularacceleration of the axis to which the beam is clamped.We show that this problem of controllability is solvable if the time ofrotation is long enough and a certain parameter that describes the material of the beamis a rational numberthat has an even numerator and an odd denominator or vice versa.