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Proceedings Paper

Mode shape distortions due to piezoceramic actuators and implications for control
Author(s): George C. Kirby III; Douglas K. Lindner; Peter Matic; Michael D. Mirmak
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Paper Abstract

While the phenomenon of shifts in the poles of flexible structures caused by local stiffening due to bonded piezoceramic actuators is well documentated, shifts in the zeros associated with the distorted mode shapes due to localized stiffening has yet to be investigated. The finite element method in conjunction with state space models was used to derive transfer functions for both collocated and noncollocated sensor/actuator pairs. Models that considered the mode shape distortions compared favorably with experimental measurements. With the numerical models validated by experiments, state variable feedback control gains were determined using linear quadratic regulator design for noncollocated and collocated sensor/actuator pairs for the cases of classical mode shapes and distorted mode shapes. It is demonstrated that lack of consideration of distorted mode shapes can lead to a loss of performance of the control systems.

Paper Details

Date Published: 6 May 1994
PDF: 11 pages
Proc. SPIE 2190, Smart Structures and Materials 1994: Smart Structures and Intelligent Systems, (6 May 1994); doi: 10.1117/12.175220
Show Author Affiliations
George C. Kirby III, Naval Research Lab. (United States)
Douglas K. Lindner, Virginia Polytechnic Institute and State Univ. (United States)
Peter Matic, Naval Research Lab. (United States)
Michael D. Mirmak, Univ. of Pennsylvania (United States)

Published in SPIE Proceedings Vol. 2190:
Smart Structures and Materials 1994: Smart Structures and Intelligent Systems
Nesbitt W. Hagood, Editor(s)

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