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Proceedings Paper

Distributed transducers, collocation, and smart structural control
Author(s): Shawn Edward Burke; James E. Hubbard
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Paper Abstract

Collocated sensors and actuators offer significant robustness and design benefits in distributed parameter vibration control. It is shown that sensors and actuators are collocated in this sense when they are both physically coincident and their spatial derivative orders are equal. These requirements are expressed more generally as an integral equation that constrains the transducers' "modified" spatial distributions. Distributed parameter collocation is demonstrated by a transducer placement study for a nondimensional cantilever beam. The first configuration uses two disthbuted piezoceramic actuators and two accelerometer sensors. This combination typically leads to input/output frequency response functions having slow nonminimum phase transmission zeros and poor singular value frequency response characteristics, with high sensitivity to placement. The problem is exacerbated when the accelerometers and distributed actuators are "collocated". The second configuration uses two distributed piezoelectric actuators, now combined with two distributed strain gage sensors. When these equivalent-order distributed transducers are collocated the resulting frequency response matrices are strictly minimum phase, and have desirable singular value characteristics determined solely by the actuator placement's coupling into the beam's modal curvatures. These characteristics are maintained for small strain sensor apertures centered over larger actuator apertures, including some misalignment, for low frequencies. A generalization is developed to facilitate the collocation of transducers having dissimilar spatial derivative order.

Paper Details

Date Published: 1 October 1990
PDF: 11 pages
Proc. SPIE 1307, Electro-Optical Materials for Switches, Coatings, Sensor Optics, and Detectors, (1 October 1990); doi: 10.1117/12.21670
Show Author Affiliations
Shawn Edward Burke, Charles Stark Draper Lab., Inc. (United States)
James E. Hubbard, Charles Stark Draper Lab., Inc. (United States)

Published in SPIE Proceedings Vol. 1307:
Electro-Optical Materials for Switches, Coatings, Sensor Optics, and Detectors
Rudolf Hartmann; M. J. Soileau; Vijay K. Varadan, Editor(s)

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