Gugat M (2001)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2001
Publisher: EDP Sciences
Book Volume: 6
Pages Range: 333-360
URI: http://www.esaim-cocv.org/articles/cocv/abs/2001/01/cocvVol6-13/cocvVol6-13.html
DOI: 10.1051/cocv:2001113
Open Access Link: http://archive.numdam.org/ARCHIVE/COCV/COCV_2001__6_/COCV_2001__6__333_0/COCV_2001__6__333_0.pdf
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.
APA:
Gugat, M. (2001). Controllability of a slowly rotating Timoshenko beam. Esaim-Control Optimisation and Calculus of Variations, 6, 333-360. https://doi.org/10.1051/cocv:2001113
MLA:
Gugat, Martin. "Controllability of a slowly rotating Timoshenko beam." Esaim-Control Optimisation and Calculus of Variations 6 (2001): 333-360.
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