The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title:	Modal control of flexible beam using smart mateirals
Author:	Mallepalle, Sujata
View Online:	njit-etd1993-119 (viii, 97 pages ~ 2.1 MB pdf)
Department:	Department of Electrical and Computer Engineering
Degree:	Master of Science
Program:	Electrical Engineering
Document Type:	Thesis
Advisory Committee:	Chang, Timothy Nam (Committee chair) Ansari, Nirwan (Committee member) Misra, Durgamadhab (Committee member)
Date:	1993-01
Keywords:	Smart materials Automatic control
Availability:	Unrestricted
Abstract:	In this work, the dynamics and control aspects of a vibrating flexible beam using modal analysis are studied. To damp the vibrations of the system, the vibrations of each mode has to he controlled, which can he done if we know the individual mode shape. and the resonance frequency. These quantities can be derived mathematically or measured experimentally with a spectrum analyzer. Individual modal velocities can be computed by integration of the product of beam velocity and the mode shape, over the interval of beam length. The integration is carried out using numerical meth-ods. The necessary discrete ordinates are obtained by measuring the system velocity at several points on the beam. This mode velocity estimation method constitutes the mode separation scheme which is the principle feature of this thesis. Controlling of the system vibrations can be achieved by controlling individual mode vibrations. The control action for each mode are decoupled from others, because of the frequency separation. So the resulting the controller is modular, consisting of No (No = number of outputs to be regulated) structurally identical modules. The combined mode separation scheme and modular controller are the desired modal controllers that stabilize, and regulate the beam dynamics.