Modelling and stabilization of a nonlinear hybrid system of elasticity

Boumediène Chentouf

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)621-629
Number of pages9
JournalApplied Mathematical Modelling
Volume39
Issue number2
DOIs
Publication statusPublished - 2015

Fingerprint

Angular velocity
Hybrid systems
Hybrid Systems
Elasticity
Stabilization
Nonlinear Systems
Modeling
Flexible Beam
Feedback Law
Feedback
Rigid Body
Perpendicular
Vibration
Decay
Upper bound
Zero

Keywords

  • Exponential stability
  • Non-homogeneous beam
  • Nonlinear hybrid system
  • Rotating flexible structure
  • Torque and boundary controls

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation

Cite this

Modelling and stabilization of a nonlinear hybrid system of elasticity. / Chentouf, Boumediène.

In: Applied Mathematical Modelling, Vol. 39, No. 2, 2015, p. 621-629.

Research output: Contribution to journalArticle

Chentouf, Boumediène. / Modelling and stabilization of a nonlinear hybrid system of elasticity. In: Applied Mathematical Modelling. 2015 ; Vol. 39, No. 2. pp. 621-629.
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