Approximate expressions are developed for internally balanced singular values corresponding to the modes of mechanical systems with gyroscopic forces, light damping, and small circulatory forces. A brief overview is first given of the balanced realization model reduction method, including a discussion of recent work. The models considered are defined, and a perturbation analysis is used to show that the modal representation becomes asymptotically balanced as damping reduces to zero. The approximate balanced singular values are calculated, and a simple example of a flexible, dual-spin spacecraft is given as an illustration of the results.
Perturbation analysis of internal balancing for lightly damped mechanical systems with gyroscopic and circulatory forces
01.08.1987
Sonstige
Keine Angabe
Englisch
Perturbation method for the eigenvalue problem of lightly damped systems
Online Contents | 1993
|MODAL UNCOUPLING OF DAMPED GYROSCOPIC SYSTEMS
Online Contents | 2001
|Optimal Control of Damped Flexible Gyroscopic Systems
AIAA | 1981
|