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Nonlinear Dynamics

, Volume 28, Issue 3–4, pp 309–322 | Cite as

Adaptive Control of Flexible Structures Using a Nonlinear Vibration Absorber

  • O. N. Ashour
  • A. H. Nayfeh
Article

Abstract

A nonlinear adaptive vibration absorber to control the vibrations offlexible structures is investigated. The absorber is based on thesaturation phenomenon associated with dynamical systems possessingquadratic nonlinearities and a two-to-one internal resonance. Thetechnique is implemented by coupling a second-order controller with thestructure through a sensor and an actuator. Energy is exchanged betweenthe structure and the controller and, near resonance, the structure'sresponse saturates to a small value.

Experimental results are presented for the control of a rectangularplate and a cantilever beam using piezoelectric ceramics andmagnetostrictive alloys as actuators. The control technique isimplemented using a digital signal processing board and a modelingsoftware. The control strategy is made adaptive by incorporating anefficient frequency-measurement technique. This is validated bysuccessfully testing the control strategy for a nonconventionalproblem, where nonlinear effects hinder the application of thenonadaptive controller.

adaptive control vibration absorber Terfenol-D saturation 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • O. N. Ashour
    • 1
  • A. H. Nayfeh
    • 1
  1. 1.Department of Engineering Science and MechanicsVirginia Polytechnic Institute and State UniversityBlacksburgU.S.A

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