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Proceedings Paper

Spatial compensator design for active vibration damping with links to temporal compensator design
Author(s): John E. Meyer; Shawn Edward Burke
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Paper Abstract

A technique for spatial compensator design is developed for the active vibration damping of interconnected flexible structures. Spatially gain weighted distributed transducers are utilized in order to `shape' the system's forward-loop transfer function, thereby increasing control effectiveness by increasing loop gain over a specified bandwidth. Colocated transducer locations and spatial distributions are chosen to shape the system's loop transfer function, making modal coefficients `large' within the control bandwidth, and `small' for higher frequency modes of vibration while remaining simple to implement in hardware. Temporal compensator design is linked to spatial compensator design by showing the dependency of the maximum velocity feedback gain on transducer modal coefficients. Closed-loop control experiments were performed in order to demonstrate the utility of the compensator design technique on a dynamically complex, interconnected structure: a 56' by 59' nine-bay aluminum grillage. A velocity feedback dissipative temporal compensator design was evaluated. For a band-limited transient disturbance exciting the first twelve modes of vibration (up to 40 Hz), the experiment showed a decrease in settling time from over 30 seconds to less than 8 seconds. For a band-limited stochastic input with a 2 - 22 Hz bandwidth, disturbance attenuation up to 8 dB was shown. In order to assess the model robustness of the compensator design, modifications were made to the experimental plant, changing plant natural frequencies up to 21.2%. Without changing the temporal compensator used in the previous tests, similar closed-loop vibration damping performance was observed, exhibiting significant compensator robustness to plant variations.

Paper Details

Date Published: 8 May 1995
PDF: 14 pages
Proc. SPIE 2443, Smart Structures and Materials 1995: Smart Structures and Integrated Systems, (8 May 1995); doi: 10.1117/12.208294
Show Author Affiliations
John E. Meyer, Failure Analysis Associates, Inc. (United States)
Shawn Edward Burke, Boston Univ. (United States)

Published in SPIE Proceedings Vol. 2443:
Smart Structures and Materials 1995: Smart Structures and Integrated Systems
Inderjit Chopra, Editor(s)

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