Date of Award

Spring 1994

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Engineering Mechanics

Committee Director

Thomas E. Alberts

Committee Member

Atul G. Kelkar

Committee Member

Oscar R. Gonzalez

Call Number for Print

Special Collections; LD4331.E57D83

Abstract

This thesis presents the development and experimental verification of a distributed parameter model for a slewing beam system with piezoelectric actuators and sensors. Also presented is the development of an optimal active control synergism which employs IMSC, (Independent Modal Space Control) and an optimally designed, viscoelastic damping treatment. The beam is pinned at the proximal end and patches of thin piezoelectric laminates are attached to its surface. Formulation is general enough to allow the patches to be located anywhere on the beam's surface. A viscoelastic material with a constraining layer covers the rest of the beam. The differential equation of motion for this system is transformed to Laplace domain transfer functions after application of the appropriate boundary conditions. Transfer functions relating the various actuator/sensor pairs are developed. The transfer functions are rationalized using a form of the Maclaurin series expansion so that there is no need to assume mode shapes. Optimal control gains are found by minimizing a performance index. A methodology for computing the physical forces from the abstract, modal forces from IMSC, is also found. An optimal length for a segmented constraining layer is also determined. Experimental results, which verify the model, and control algorithm are presented using a beam experiment at the U.S. Air Force Academy, Frank J. Seiler Research Laboratory. The results of these experiments show a close agreement with the analytical predictions.

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DOI

10.25777/pkjf-sv23

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