The influence of spin on mode shapes and frequencies
A qualitative appreciation of the influence of spin on structural oscillations can be gained by consideration of the simple systems illustrated in Fig. 2. In each of the figures 2a), 2b), 2c) the dynamical system is a single particle P of mass m, constrai
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PETER W. LIKINS ROBERT E. ROBERSON UNIVERSITY OF
CALIFORNIA
JENS WITTENBURG L'NIVERSITY OF
HANNOVER
DYNAMICS OF FLEXIBLE SPACECRAFT
DEPARTMENT OF GENERAL MECHANICS COURSE HELD IN DUBROVNIK SEPTEMBER 1971
UDINE 1971
SPRINGER-VERLAG WIEN GMBH
This work is suqect to copyright All rights are reserved, whether the whole or part of the material is concerned specifically those of translation. reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.
©
1972 by Springer-Verlag Wien
Originally published by Springer-Verlag Wien New York in 1972
ISBN 978-3-211-81199-3 DOI 10.1007/978-3-7091-2908-1
ISBN 978-3-7091-2908-1 (eBook)
P R E F A C E
At the suggestion of P~ofesso~ Sob~e~o of CISM, I o~ganized a se~ies of lectu~es to be p~esented by me and seve~al colleagues at Dub~ovnik in Septembe~ 1971, unde~ the joint auspice of CISM and the Unive~si ty of Zag~eb. Fo~ his encou~agement and suppo~t, I wish to immediately exp~ess my thanks. The lectu~es we~e o~ganized in two se~ies, and th~ee hou~s of lectu~es we~e p~esented in each se~ ies each day du~ing 13 - 17 Septembe~. This book contains the lectu~es of the second se~ies, given by Unde~ signed, by P~ofesso~ P.W. Likins, and by D~. W. Wittenbu~g. Each se~ies was devoted to one aspect of special cu~~ent impo~tance ~elating to the ~otational behaviou~ of
spacec~aft.
The subject of this second se~ies was the dynamics of flexible ~otating spacec~aft. This is a topic of conside~able cu~~ent inte~est to ~otational dynamics as a science, as well as to its technological application a~ea of ~otating spacec~aft. We have attempted to desc~ibe he~e the two majo~ app~oaches to the p~oblem: fi~st, the app~oach th~ough linea~ly elastic dynamical equations, gene~alized f~om the t~aditional st~uctu~al dynamical equations by ~efe~ence to ~otating bases; sec ond, the app~oach th~ough the dynamics of a disc~ete set of inte~connected, individually ~igid bodies. Each
4
Preface
has its own domain of applicability. Professor Likins prepared and presented Lectures 1 - 9; Dr. Wittenburg, Lectures 11 and 14, and I the remaining lectures.
Udine,September 19?1
Peter W. Likins Robert E. Roberson J ens
Wi ttenbur·g
Introductory remarks
As I have remarked previously, spacecraft problems have been responsible for a resurgence and growth of the dynami£ al theory of rotating systems. For many purposes during the last two decades it has been possible to model the spacecraft as a rig_ id bodies or gyrostats, or perhaps simple two-body systems. However, even from the earliest days of real satellites, bases have been known where non-rigid characteristics have dominated the dr namical behavior. Within the last few years, elastic deformations have become of increasingly great importance in both spin-stabilized and passively stabilized systems, because the elastic behavior can be central to the stability of the desired state of motion. Furthermore, even in actively controlled systems elastic behavior has become incr
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