Document Type

Thesis

Date of Award

1-31-1993

Degree Name

Master of Science in Electrical Engineering - (M.S.)

Department

Electrical and Computer Engineering

First Advisor

Timothy Nam Chang

Second Advisor

Nirwan Ansari

Third Advisor

Durgamadhab Misra

Abstract

In this work, the dynamics and control aspects of a vibrating flexible beam us¬ing 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 sepa¬ration scheme and modular controller are the desired modal controllers that stabilize, and regulate the beam dynamics.

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