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.
Rights
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DOI
10.25777/pkjf-sv23
Recommended Citation
DuBois, Travis V..
"Optimal Active and Passive Control Design for a Slewing Piezoelectric Laminate Beam"
(1994). Master of Science (MS), Thesis, Mechanical & Aerospace Engineering, Old Dominion University, DOI: 10.25777/pkjf-sv23
https://digitalcommons.odu.edu/mae_etds/471