Modelling and stabilization of a nonlinear hybrid system of elasticity
In this article, we briefly present a model which consists of a non-homogeneous flexible beam clamped at its left end to a rigid disk and free at the right end, where another rigid body is attached. We assume that the disk rotates with a non-uniform angular velocity while the beam is supposed to rot...
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| Veröffentlicht in: | Applied mathematical modelling 2015-01, Vol.39 (2), p.621-629 |
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| container_title | Applied mathematical modelling |
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| creator | Chentouf, Boumediène |
| description | In this article, we briefly present a model which consists of a non-homogeneous flexible beam clamped at its left end to a rigid disk and free at the right end, where another rigid body is attached. We assume that the disk rotates with a non-uniform angular velocity while the beam is supposed to rotate with the disk in another plane perpendicular to that of the disk. Thereafter, we propose a wide class of feedback laws depending on the assumptions made on the physical parameters. In each case, we show that whenever the angular velocity is not exceeding a certain upper bound, the beam vibrations decay exponentially to zero and the disk rotates with a desired angular velocity. |
| doi_str_mv | 10.1016/j.apm.2014.06.015 |
| format | Article |
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| ispartof | Applied mathematical modelling, 2015-01, Vol.39 (2), p.621-629 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Angular velocity Beams (structural) Disks Exponential stability Mathematical models Modelling Non-homogeneous beam Nonlinear hybrid system Rigid-body dynamics Rotating flexible structure Torque and boundary controls Vibration |
| title | Modelling and stabilization of a nonlinear hybrid system of elasticity |
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