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Theoretical Limits of Damping Attainable by Smart Beams with Rate FeedbackUsing a generally accepted model we present a comprehensive analysis (within the page limitation) of an Euler- Bernoulli beam with PZT sensor-actuator and pure rate feedback. The emphasis is on the root locus - the dependence of the attainable damping on the feedback gain. There is a critical value of the gain beyond which the damping decreases to zero. We construct the time-domain response using semigroup theory, and show that the eigenfunctions form a Riesz basis, leading to a 'modal' expansion.
Document ID
19980237463
Acquisition Source
Ames Research Center
Document Type
Other
Authors
Balakrishnan, A. V.
(California Univ. Los Angeles, CA United States)
Date Acquired
September 6, 2013
Publication Date
April 1, 1997
Subject Category
Cybernetics
Meeting Information
Meeting: Smart Structures and Materials
Location: San Diego, CA
Country: United States
Start Date: March 2, 1997
End Date: March 6, 1997
Sponsors: International Society for Optical Engineering
Funding Number(s)
CONTRACT_GRANT: NCC2-374
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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