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Perturbation analysis of internal balancing for lightly damped mechanical systems with gyroscopic and circulatory forcesApproximate expressions are developed for internally balanced singular values corresponding to the modes of mechanical systems with gyroscopic forces, light damping, and small circulatory forces. A brief overview is first given of the balanced realization model reduction method, including a discussion of recent work. The models considered are defined, and a perturbation analysis is used to show that the modal representation becomes asymptotically balanced as damping reduces to zero. The approximate balanced singular values are calculated, and a simple example of a flexible, dual-spin spacecraft is given as an illustration of the results.
Document ID
19870060538
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Blelloch, P. A.
(California Univ. Los Angeles, CA, United States)
Mingori, D. L.
(California Univ. Los Angeles, CA, United States)
Wei, J. D.
(California, University Los Angeles, United States)
Date Acquired
August 13, 2013
Publication Date
August 1, 1987
Publication Information
Publication: Journal of Guidance, Control, and Dynamics
Volume: 10
ISSN: 0731-5090
Subject Category
Spacecraft Design, Testing And Performance
Accession Number
87A47812
Funding Number(s)
CONTRACT_GRANT: NAS7-918
Distribution Limits
Public
Copyright
Other

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