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Boundary controllability of nonlinear beams to bounded states

Published online by Cambridge University Press:  14 November 2011

J. E. Lagnese
J. E. Lagnese
Affiliation:
Department of Mathematics, Georgetown University, Washington, DC 20057, U.S.A
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Synopsis

Considered is a nonlinear model which describes the dynamic behaviour of the not necessarily small longitudinal and transverse displacements of a thin, cantilevered beam. The motion of the beam is driven by a bending moment, an axial force and a vertical shear force that act at the free end of the beam. The main goal is to describe the reachable set of the system, that is, the set of all states that can be reached by varying the end forces within a certain set of admissible controls.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 63 - 72
Copyright
Copyright © Royal Society of Edinburgh 1991

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