On the Controllability of a Slowly Rotating Timoshenko Beam | Zendy

Werner Krabs | Zendy; Grigory M. Sklyar | Zendy

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On the Controllability of a Slowly Rotating Timoshenko Beam

Author(s) -

Werner Krabs,

Grigory M. Sklyar

Publication year - 1999

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/891

Subject(s) - controllability , beam (structure) , rest (music) , physics , rotation (mathematics) , position (finance) , acceleration , timoshenko beam theory , plane (geometry) , classical mechanics , angular displacement , angular velocity , angular acceleration , control theory (sociology) , mechanics , mathematics , geometry , optics , computer science , quantum mechanics , acoustics , control (management) , finance , artificial intelligence , economics

We consider a slowly rotating Timoshenko beam in a horizontal plane whose movement 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.

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