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Zeitschrift für Analysis und ihre Anwendungen

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Volume 18, Issue 2, 1999, pp. 437–448
DOI: 10.4171/ZAA/891

Published online: 1999-06-30

On the Controllability of a Slowly Rotating Timoshenko Beam

Werner Krabs[1] and Grigory M. Sklyar[2]

(1) Technische Hochschule Darmstadt, Germany
(2) Szczecin University, Poland

We consider a slowly rotating Timoshenko beam in a horizontal plane whose move-ment is controlled by the angular acceleration of the disk of a driving motor into which the beam is clamped. The problem to be solved is to transfer the beam from a position of rest into a position of rest under a given angle within a given time. We show that this problem is solvable, if the time of rotation prescribed is large enough.

Keywords: Controllability, Tirnoshenko Beam

Krabs Werner, Sklyar Grigory M.: On the Controllability of a Slowly Rotating Timoshenko Beam. Z. Anal. Anwend. 18 (1999), 437-448. doi: 10.4171/ZAA/891