Spatial compensator design for active vibration damping with links to temporal compensator design

John E. Meyer; Shawn Edward Burke

doi:10.1117/12.208294

8 May 1995 Spatial compensator design for active vibration damping with links to temporal compensator design

John E. Meyer, Shawn Edward Burke

Proceedings Volume 2443, Smart Structures and Materials 1995: Smart Structures and Integrated Systems; (1995) https://doi.org/10.1117/12.208294
Event: Smart Structures and Materials '95, 1995, San Diego, CA, United States

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.

Citation Download Citation

John E. Meyer and Shawn Edward Burke "Spatial compensator design for active vibration damping with links to temporal compensator design", Proc. SPIE 2443, Smart Structures and Materials 1995: Smart Structures and Integrated Systems, (8 May 1995); https://doi.org/10.1117/12.208294

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available