MODAL COUPLING CONTROLLER DESIGN USING A NORMAL FORM METHOD, PART I: DYNAMICS

✍ Scribed by A. Khajepour; M.F. Golnaraghi; K.A. Morris

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 227 KB
• Volume: 205
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1072

✦ Synopsis

There are several techniques available for vibration suppression of oscillatory systems. However, application of these techniques may not cause a fast rate of decay. This paper is part I of a comprehensive study which uses modal coupling to control vibrations in oscillatory systems (see reference [1] for part II). A second order auxiliary oscillatory system is used as the controller, coupled to the plant via non-linear coupling terms. In part I the dynamics associated with the system is fully investigated using normal form theory.

Earlier studies on Modal Coupling Control (MCC) have resorted to perturbation methods for design purposes. These studies were restricted to linear and undamped plants using specific coupling terms. Also, the selection of controller parameters in these studies was based on trial and error. In this work, by extending MCC to a general class of non-linear systems with a damped or undamped oscillatory linear part, the trial and error in parameter selection is eliminated. The general form of the coupling terms is derived and a phenomenon called neck which is developed in the plant response upon applying the proposed controller is introduced. In part II of this work the authors focus on the control aspects of the method and use the neck phenomenon to define an algorithm for the controller implementation. The controller is then applied to a piezo-actuated flexible beam.