Mode shape distortions due to piezoceramic actuators and implications for control

George C. Kirby III; Douglas K. Lindner; Peter Matic; Michael D. Mirmak

doi:10.1117/12.175220

6 May 1994 Mode shape distortions due to piezoceramic actuators and implications for control

George C. Kirby III, Douglas K. Lindner, Peter Matic, Michael D. Mirmak

Proceedings Volume 2190, Smart Structures and Materials 1994: Smart Structures and Intelligent Systems; (1994) https://doi.org/10.1117/12.175220
Event: 1994 North American Conference on Smart Structures and Materials, 1994, Orlando, FL, United States

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.

Citation Download Citation

George C. Kirby III, Douglas K. Lindner, Peter Matic, and Michael D. Mirmak "Mode shape distortions due to piezoceramic actuators and implications for control", Proc. SPIE 2190, Smart Structures and Materials 1994: Smart Structures and Intelligent Systems, (6 May 1994); https://doi.org/10.1117/12.175220

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