Increasing the Margin of Stability of Arbitrarily Finite Modes of Flexible Large Space Structures with Damping.
Annual technical rept. 1 Sep 85-3 Aug 86,
FLORIDA UNIV GAINESVILLE DEPT OF MATHEMATICS
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This research project focuses on a canonical component of flexible large space structures, which is modeled by a hyperbolic second order equation wave equation with damping, in an arbitrary number of dimensions. The object is to provide a simple, implementable boundary feedback of a specific class which will 1 increase the margin of stability of finitely many modes while 2 at least preserving the margin of stability of the remaining modes and, moreover,3 guarantee the exponential uniform decay of all feedback solutions with the same upper bound enjoyed by the free solutions homogeneous boundary conditions. An analysis of the distributed parameter model is given by the co-principal investigators, which provides a theoretical solution of the above problem in an essentially constructive way. Numerical implementations of the theoretical proof show a behavior of the eigenvalues distribution of the feedback system as predicted by, and in agreement with, the theoretical results.
- Structural Engineering and Building Technology
- Unmanned Spacecraft