NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Modal identities for elastic bodies, with application to vehicle dynamics and controlIt is a standard procedure to analyze a flexible vehicle in terms of its vibration frequencies and mode shapes. However, the entire mode shape is not needed per se, but two integrals of the mode shape, pi and hi, which correspond to the momentum and angular momentum in Mode i. Together with the natural frequencies omega-i, these modal parameters satisfy several important identities, 25 of which are derived in this paper. Expansions in terms of both constrained and unconstrained modes are considered. A simple illustrative example is included. The paper concludes with some remarks on the theoretical and practical utility of these results, and several potential extensions to the theory are suggested.
Document ID
19800045468
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Hughes, P. C.
Date Acquired
August 10, 2013
Publication Date
March 1, 1980
Subject Category
Physics (General)
Report/Patent Number
ASME PAPER 79-WA/APM-34
Accession Number
80A29638
Funding Number(s)
CONTRACT_GRANT: JPL-955369
CONTRACT_GRANT: NSERC-A-4183
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available