It 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, p, and h, which correspond to the momentum and angular momentum in Mode i. Together with the natural frequencies, 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 practrical utility of these results, and several potential extensions to the theory are suggested. (Wassmann)
Modal identities for elastic bodies, with application to vehicle dynamics and control
Wellenidentitaeten fuer elastische Koerper mit Anwendungen bei der Dynamic und Steuerung von Fahrzeugen
ASME-Papers ; 1-8
1979
8 Seiten, 5 Bilder, 13 Quellen
Conference paper
English
Modal identities for multibody elastic spacecraft
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