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Constrained modes in control theory - Transmission zeros of uniform beamsMathematical arguments are presented demonstrating that the well-established control system concept of the transmission zero is very closely related to the structural concept of the constrained mode. It is shown that the transmission zeros of a flexible structure form a set of constrained natural frequencies for it, with the constraints depending explicitly on the locations and the types of sensors and actuators used for control. Based on this formulation, an algorithm is derived and used to produce dimensionless plots of the zero of a uniform beam with a compatible sensor/actuator pair.
Document ID
19920067835
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Williams, T.
(Cincinnati, University OH, United States)
Date Acquired
August 15, 2013
Publication Date
July 8, 1992
Publication Information
Publication: Journal of Sound and Vibration
Volume: 156
Issue: 1, Ju
ISSN: 0022-460X
Subject Category
Cybernetics
Accession Number
92A50459
Distribution Limits
Public
Copyright
Other

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