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Controllability of a slowly rotating Timoshenko beam

Published online by Cambridge University Press:  15 August 2002

Martin Gugat
Martin Gugat*
Affiliation:
Technische Universität Darmstadt, Fachbereich Mathematik, Arbeitsgruppe 10, Schlossgartenstr. 7, 64289 Darmstadt, Germany; gugat@mathematik.tu-darmstadt.de.
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Abstract

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

Keywords

Rotating Timoshenko beamexact controllabilityeigenvaluesmoment problem.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 6 , 2001 , pp. 333 - 360
Copyright
© EDP Sciences, SMAI, 2001

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