Published 1987
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Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method
Chicago
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Abstract
We consider a system consisting of a rigid body to which a linear extensible shear beam is attached. For such a system the Energy-Casimir method can be used to investigate the stability of the equilibria. In the case we consider, it can be shown that a test for (formal) stability reduces to checking the positive definiteness of two matrices which depend on the parameters of the system and the particular equilibrium about which the stability is to be ascertained.
Additional Information
© 1987, Research supported in part by National Science Foundation grant OIR-8S-00108 to the Systems Research Center, AFOSR-URI grant AFOSR-87-OO73. and by a Design Project Grant from NASA Headquarters through the Universities Space Research Association. Research supported in part by DOE Contract DE-AT03-8SER-12097 and by AFOSR-URI grant AFOSR-87-o073. 'This paper is in final form and no version or it is submitted elsewhere. We would like to thank Prof. Juan Simo for helpful remarks.'Attached Files
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Additional details
- Eprint ID
- 19566
- Resolver ID
- CaltechAUTHORS:20100820-143039517
- NSF
- OIR-8S-00108
- Systems Research Center
- Air Force Office of Scientific Research (AFOSR)
- AFOSR-87-0073
- Design Project
- NASA
- Department of Energy (DOE)
- DE-AT03-8SER-12097
- Created
-
2010-09-01Created from EPrint's datestamp field
- Updated
-
2019-10-03Created from EPrint's last_modified field
- Series Name
- Contemporary Mathematics
- Series Volume or Issue Number
- 68