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

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

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