Share Email Print
cover

Proceedings Paper

Nonlinear control of plate vibrations
Author(s): Osama N. Ashour; Ali H. Nayfeh
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

A nonlinear active vibration absorber to control the vibrations of plates is investigated. The absorber is based on the saturation phenomenon associated with dynamical systems with quadratic nonlinearities and a two-to-one internal resonance. The technique is implemented by coupling a second-order controller with the plate's response through a sensor and an actuator. Energy is exchanged between the primary structure and the controller and, near resonance, the plate's response saturates to a small value. Numerical results are presented for a cantilever rectangular plate. Modal analysis is used to solve for the plate displacement. Finite-element methods are used to extract the eigenmodes of the system. A numerical study is conducted to optimize the location of the actuators to maximize its controllability. In this regard, the control gain is maximized for the PZT actuators. Furthermore, a more general method is introduced, which is based on a global measure of controllability for linear systems.

Paper Details

Date Published: 16 August 2001
PDF: 11 pages
Proc. SPIE 4327, Smart Structures and Materials 2001: Smart Structures and Integrated Systems, (16 August 2001); doi: 10.1117/12.436573
Show Author Affiliations
Osama N. Ashour, Virginia Polytechnic Institute and State Univ. (United States)
Ali H. Nayfeh, Virginia Polytechnic Institute and State Univ. (United States)


Published in SPIE Proceedings Vol. 4327:
Smart Structures and Materials 2001: Smart Structures and Integrated Systems
L. Porter Davis, Editor(s)

© SPIE. Terms of Use
Back to Top